Browse Measures of Spread problems Studdy Solved!

Problem 301

A wireless phone store has several smart phone models and sells them at various prices. The table shows some summary statistics for the prices of the smart phones it sells. \begin{tabular}{|c|c|c|c|c|c|c|} \hline Minimum & $Q_{1}$ & Median & $Q_{3}$ & Maximum & Mean & \begin{tabular}{c} Standard \\ Deviation \end{tabular} \\ \hline 150 & 180 & 200 & 240 & 600 & 235 & 180 \\ \hline \end{tabular}
The cheapest smart phone priced at $\$ 150$ goes on sale for $\$ 75$ . Describe how this new price will affect the following values:
Range increases $\square$ IQR $\square$ Select an answer
Median $\square$ Mean Select an answer $\square$ Standard Deviation $\square$ Add Work

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Problem 302

Suppose you scored $88,72,79$ , and 81 on your four exams in a mathematics course. Calculate the range and standard deviation of your exam scores. Round the mean to the nearest tenth to calculate the standard deviation.
The range of the exam scores is 16 (Simplify your answer.) The standard deviation of the exam scores is $\square$ $\square$ (Round to two decimal places as needed.)

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Problem 303

Find the range and standard deviation of the set of data. $8,11,8,11,11,13,15$
The range is $\square$ (Simplify your answer.)

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Problem 304

Find the range and standard deviation of the set of data. $8,11,8,11,11,13,15=$
The range is 7 . (Simplify your answer.) The standard deviation is $\square$ (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

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Problem 305

$31,33,36,41,34$
Find the standard deviation of the data set. Round your answer to the nearest hundredth. $\square$ pieces of candy

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Problem 306

$3,2,4,7$
Find the standard deviation of the data set. Round your answer to the nearest hundredth. $\square$ games

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Problem 307

(4) If $X$ and $Y$ are independent random variables such that $\operatorname{Var}(X)=\operatorname{Var}(Y)=5$ , then $\operatorname{Var}(X-2 Y+7)=$ . (5) Consider a normally distributed data with mean

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Problem 308

Standard 15 Suppose the mean commute time among all NKU students is 27.3 minutes with a standard deviation of 9.38 minutes. Consider samples of 49 NKU students for which the sample mean is calculated. A. Fully describe the sampling distribution of the sample mean.

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Problem 309

Fill in the blank with the appropriate word or phrase.
If $\hat{p}$ is the sample proportion and $n$ is the sample size, then $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ is the (Choose one) sample proportion sample standard deviation standard error population standard deviation

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Problem 310

An auto transmission manufacturer receives ball bearings from two different suppliers. The ball bearings must have a specified diameter of 16.30 mm with a tolerance of $\pm 0.1 \mathrm{~mm}$ . Recent shipments from the two suppliers had ball bearings with the following diameters. Complete parts (a) through (c). \begin{tabular}{llllllll} Supplier A: & 16.22 & 16.27 & 16.32 & 16.34 & 16.36 & 16.42 & 16.45 \\ Supplier B: & 16.18 & 16.21 & 16.24 & 16.34 & 16.39 & 16.43 & 16.45 \end{tabular} a. Find the mean and standard deviation for each of the two data sets
Find the mean and standard deviation for the diameters of the ball bearings from Supplier $A$ mean $=$ $\square$ $\mathrm{s}=$ $\square$ (Round to the nearest hundredth as needed.)

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Problem 311

Lisetta's new temperature lowers the standard deviation. What can we conclude about today's temperature compared to the previous 10 days?

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Problem 312

Eileen has a data set with 12 values and a standard deviation of 0. What must be true? Select all that apply.

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Problem 313

Sandy analyzes teen wages, calculates mean, median, and standard deviation, then compares original and raised by \$2/hr.

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Problem 314

Determine $\mu_{\mathrm{x}}^{-}$ and $\sigma_{\mathrm{x}}^{-}$ from the given parameters of the population and sample size. $\mu=53, \sigma=6, n=35$ $\begin{array}{l} \mu_{\bar{x}}=53 \\ \sigma_{\bar{x}}=\square \end{array}$ (Round to three decimal places as needed.)

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Problem 315

2. Consider the following frequency distribution \begin{tabular}{|l|l|l|c|l|l|l|l|} \hline Class & $15-19$ & $20-24$ & $25-29$ & $30-34$ & $35-39$ & $40-44$ & $45-49$ \\ \hline Frequency & 10 & 22 & $f_{1}$ & 40 & $f_{2}$ & 18 & 12 \\ \hline \end{tabular}
The total frequency is 160 and the modal value is 31.0909 . Find; i) The value of $f_{1}$ and $f_{2}$ ii) Mode iii) Median iv) Coefficient of Quartile deviation v) Mean vi) Mean Absolute deviation vii) Standard deviation

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Problem 316

Part 1 of 4 HW Score: 32.14\%, 32.14 of 100 points Points: 5.14 of 6 Save
Listed below in order are prices in dollars for a Big Mac hamburger in the United States, Canada, Mexico, China, Japan, Russia, Switzerland, Italy, Spain, Britain, Indla, and Egypt. Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different countries? $\begin{array}{llllllllllll} 5.30 & 5.27 & 2.57 & 3.20 & 3.35 & 2.30 & 6.79 & 5.06 & 4.76 & 4.37 & 2.82 & 1.86 \end{array}$
The range is $\square$ dollars. (Type an integer or decimal rounded to two decimal places as needed.)

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Problem 317

Period
7. In a normal distribution, $x=3$ and $z=0.67$ . This tells you that $x=3$ is $\qquad$ standard deviations to the $\qquad$ (left or right) of the mean.
8. In a normal distribution, $x=-5$ and $z=-3.14$ . This tells you that $x=-5$ is $\qquad$ mean. standard deviations to the $\qquad$ (left or right) of the
9. The life of Sunshine DVD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A DVD player is guaranteed for three years. We are interested in the length of time a DVD player lasts. Find the z score corresponding to the guaranteed life of 3 years
10. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean 125 and standard deviation 14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressure 100 and 150 millimeters. b. If a male friend of yours said that he thought his systolic blood pressure was 2.5 standard deviations below the mean, but he believed his blood pressure was between 100 and 150 millimeters, what would you say to him.

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Problem 318

Hospital Emergency Waiting Times The mean of the waiting times in an emergency room is 124 minutes with a standard deviation of 8.9 minutes for people who are admitted for additional treatment. The mean waiting time for patients who are discharged after receiving treatment is 105 minutes with a standard deviation of 9.3 minutes. Which times are more variable?
Part: $0 / 2$ $\square$
Part 1 of 2
Calculate the coefficient of variation. Round your answers to one decimal place.
Additional treatment CVar : $\square$ $\%$
Discharged CVar: $\square$ \%

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Problem 319

Following are heights, in inches, for a sample of college basketball players. $\begin{array}{llllllllllllllllllll} 84 & 88 & 86 & 85 & 70 & 75 & 72 & 86 & 78 & 81 & 86 & 78 & 81 & 72 & 73 & 76 & 77 & 87 & 88 & 84 \end{array}$
Send data to Excel Find the sample standard deviation for the heights of the basketball players. 80.4 6.0 18.0 5.8

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Problem 320

5 a) 30 Kinder der 5 c haben die Länge einer Strecke an der Tafel auf cm genau geschätzt: $98 ; 92 ; 66 ; 68 ; 74 ; 87 ; 65 ; 75 ; 91 ; 91 ; 94 ; 77 ; 60 ; 82 ; 92 ; 84 ; 95 ; 86 ; 74 ; 87 ; 95 ; 59 ; 77 ; 77 ; 64 ; 72 ; 85 ; 72$ ; 74; 84. Bestimmen Sie die Standardabweichung $s$ der Schätzwerte. b) Welche Länge hat die Strecke vermutlich in Wirklichkeit (zwischen ... und ...cm)? c) Bestimmen Sie, welcher Anteil der Schätzwerte weniger als eine Standardabweichung vom Mittelwert entfernt liegt.

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Problem 321

You roll a die, winning nothing if the number of spots is odd, $\$ 1$ for a 2 or a 4 , and $\$ 10$ for a 6 . Round your answers to 3 decimal places (a) Find the expected value and standard deviation of your prospective winnings. The expected value is $\square$ , the standard deviation is $\square$ (b) You play twice. Find the mean of your total winnings.
The mean is $\square$

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Problem 322

The stock prices for eight major grocery store chains last January were: $\begin{array}{llllllll} \$ 18.24 & \$ 20.34 & \$ 9.36 & \$ 11.53 & \$ 11.21 & \$ 48.04 & \$ 48.82 & \$ 28.27 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
Part 1 of 3
The range is $\$ 39.46$ .
Part: $1 / 3$
Part 2 of 3
The variance is $\square$

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Problem 323

These data are the number of junk e-mails Lena received for 9 consecutive days. $\begin{array}{lllllllll}61 & 1 & 1 & 5 & 4 & 32 & 22 & 5 & 9\end{array}$
Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
Part: $0 / 3$
Part 1 of 3
The range is $\square$ e-mails.

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Problem 324

The weights (in pounds) of nine players from a college football team are recorded as follows. $\begin{array}{lllllllll} 204 & 219 & 305 & 291 & 265 & 286 & 303 & 253 & 261 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Round intermediate calculations to one decimal place.
Part: $0 / 3$
Part 1 of 3
The range is $\square$ pounds.

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Problem 325

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40 . Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40 .
The value of the mean is $\mu=30$ peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is $\sigma=\square$ $\square$ peas. (Round to one decimal place as needed.)

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Problem 326

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00.

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Problem 327

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00. Options: a) 4.02, 1.12 b) 4.78, 2.21 c) 5.03, 1.35 d) 8.14, 2.85.

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Problem 328

Find the $z$ -score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

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Problem 329

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

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Problem 330

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

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Problem 331

Calculate the mean absolute deviation of the values 4, 15, 16, 7, 5, 19. Round to the nearest hundredth if needed.

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Problem 332

Find the standard deviation of the monthly salaries (in \ $1000s):$ 8, 13, 11, 12, 6, 10$. Round to two decimal places.

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Problem 333

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

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Problem 334

Calculate the range of the following traveler spending data (in billions): $20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4$ . Round to two decimal places.

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Problem 335

Two groups measure fall times for a ball. Find averages, percentage errors, standard deviations, and variances. Round to two decimals.

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Problem 336

Find the range for at least $75\%$ of Americans' online time using Chebyshev's theorem, with an average of 4 hours and SD of 27 min.

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Problem 337

Find the range for online time where at least 75% of Americans lie, using Chebyshev's theorem. Average: 4 hrs, SD: 27 min.

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Problem 338

Find the range, variance, and standard deviation for the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Range is 28. Use sample formulas.

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Problem 339

Find the range, variance, and standard deviation of the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Use sample formulas.

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Problem 340

Calculate the range, variance, and standard deviation of these scores: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

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Problem 341

Find the range, variance, and standard deviation for the data: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

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Problem 342

Find the boundaries for $95\%$ of SAT math scores, given an average of 523 and a standard deviation of 42.

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Problem 343

Calculate the range of traveler spending: 20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6. Round to two decimal places.

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Problem 344

Calculate the variance for the numbers $20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6$ . Indicate if it's sample or population variance.

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Problem 345

Find the range of the density data: 10.34, 10.58, 10.62. Average density is 10.51 g/cm³.

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Problem 346

What does a standard deviation of 13 in exam scores mean? a. Scores are within 13 points of the mean. b. Highest and lowest scores differ by 13 points. c. Scores vary by 13 points. d. Scores vary from the mean by 13 points.

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Problem 347

Question The graph below shows the graphs of several normal distributions, labeled $A, B$ , and $C$ , on the same axis. Determine which normal distribution has the largest standard deviation.
Select the correct answer below: A B C

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Problem 348

Find the standard deviation for the following group of data items. $6,11,11,19$
The standard deviation is approximately $\square$ (Round to two decimal

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Problem 349

Confidence Intervals and Hypothesis Testing Confidence interval for the population standard deviation
The following data were randomly drawn from an approximately normal population. $48,50,55,62,66,69$ Send data to calculator
Based on these data, find a $90 \%$ confidence interval for the pepulation standard deviation. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult formulas.)
Lower limit: Upper limit:

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Problem 350

1. En la siguiente tabla de se muestran los años de servicio de una muestra de 100 empleados de un banco. Completa la tabla como en los ejemplos de la guía. Luego, calcula la desviación estándar y la varianza. \begin{tabular}{|c|c|} \hline Años & $N^{\circ}$ Empleados \\ \hline $0-2$ & 40 \\ \hline $3-5$ & 25 \\ \hline $6-8$ & 20 \\ \hline $9-11$ & 10 \\ \hline $12-14$ & 5 \\ \hline \end{tabular}

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Problem 351

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 352

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 353

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 354

The weekly incomes, rounded to the nearest pound, of households on a certain street in Belfast are given below: $\begin{array}{lllllllllll} 221 & 248 & 251 & 255 & 259 & 263 & 264 & 272 & 291 & 297 & 374 \end{array}$
Calculate the mean and standard deviation of these weekly incomes. Give your answers to 3 significant figures. (4 marks) Q Mean, $\bar{x}=$ $\square$ 0 Standard deviation, $\sigma_{x}=$ $\square$

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Problem 355

The weekly incomes, rounded to the nearest pound, of households on a certain street in Belfast are given below: $\begin{array}{lllllllllll} 221 & 248 & 251 & 255 & 259 & 263 & 264 & 272 & 291 & 297 & 374 \end{array}$
Calculate the mean and standard deviation of these weekly incomes. Give your answers to 3 significant figures. (4 marks) Q Mean, $\bar{x}=$ $\square$ 0 Standard deviation, $\sigma_{x}=$ $\square$

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Problem 356

A group of students took some tests. A teacher is analysing the average mark for each student. Each student obtained a different average mark.
For these average marks, the lower quartile is 24 , the median is 30 and the interquartile range (IQR) is 10
The three lowest average marks are 8, 10 and 15.5 and the three highest average marks are 45, 52.5 and 56
The teacher defines an outlier to be a value that is either more than $1.5 \times$ IQR below the lower quartile or more than $1.5 \times$ IQR above the upper quartile
The outliers have been determined to be 8, 52.5 and 56 A box plot for these data is shown below.
Two more students also took the tests. Their average marks, which were both less than 45 , are added to the data and the box plot redrawn.
The median and the upper quartile are the same but the lower quartile is now 26
Redraw the box plot on the grid below, ignoring any outliers. (3 marks)

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Problem 357

Smartphones: A poll agency reports that $37 \%$ of teenagers aged $12-17$ own smartphones. A random sample of 101 teenagers is drawn. Round your answers to at least four decimal places as needed.
Part: $0 / 6$
Part 1 of 6 (a) Find the mean $\mu_{\hat{p}}$ .
The mean $\mu_{\hat{p}}$ is 0.37
Part: $1 / 6$
Part 2 of 6
Find the standard deviation $\sigma_{\hat{p}}$ . The standard deviation $\sigma_{\hat{p}}$ is $\square$ .

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Problem 358

A company has been monitoring their sales, and based on the history of data collected, they can provide the following probability distribution for the number of sales per week per salesperson. What is the sales per week per person standard deviation? (Round to the nearest two decimal places) \begin{tabular}{cc} \hline Number of sales per week & Probability $\mathrm{f}(\mathrm{x}$ \\ \hline 0 & 0.09 \\ 10 & 0.15 \\ 20 & 0.42 \\ 30 & 0.26 \\ 40 & 0.08 \\ \hline \end{tabular}

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Problem 359

Question 2 of 33 This les, : $\quad$ : 1 in This (uevioni: a If a riflernan's gursight is acjusted incorrectly, he might shoot bullets consistently close to 2 leet left of the bull's-eye target. Dram a sket this show lack of precision or bias? b. Drasn a second sketch of the target it the shots are both unbiased and precise (have little variation). The riflernan's aim is not parlect, so one bullethole. a. Drawn a sketch of the target with the bullet holes consistently close to 2 feet left of the bull's-eye target. Choose the correct target below feet. A. B. c.
Does this show lack of precision or bias?

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Problem 360

Test 3 (Chapters 7 -9) om/Student/PlayerTest.aspx?testId=2643628178.centerwin=yes
A study of all the studonts at a small college showed a mean age of 20.5 and a standard deviation of 1.8 years a. Are these numbers statistics or parameters? Explain. b. Labol both numbers with their appropriate symbol (such as $\overline{\mathrm{x}}, \mu, \mathrm{s}$ , or $\sigma$ ). a. Choose the correct answer below. A. The numbers are statistics because they are estimates and not certain. B. The numbers are parameters because they are for all the students, not a sample. C. The numbers are statistics because they are for all the students, not a sample. D. The numbers are parameters because they are estimates and not certain. b. Choose the correct labels below. $\square$ $=20.5$ $\square$ $=1.8$ Assessment Details Calculator Webcam Chat Support

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Problem 361

The mean age of all 627 used cars for sale in a newspyor one Saturday last month was 7.8 years, with a stardard deviation of 7.6 years. The distribution of agns is right-skened age of the 40 cars he samples is 8.4 years and the standard deviation of those 40 cars is 5.8 years. Complete parts a through c . (type integers or occimals.) c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? A. No, because the Normal condition is not fulfilled. B. No, because the random sample/independence and Normal conditions are not fulfilled. C. No, because the random samplelindependence condition is not fulfilled. D. Yes, all the conditions for using the CLT are fulfilled.
What would be the shape of the approximate sampling distribution of a large number of means, each from a sample of 40 cars? Normal Rinht-clement

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Problem 362

3. If a random sample of 36 is obteined from a population with mean $=50$ and a standard deviation $=24$ , what is the mean and standard deviation of the sampling distribution?

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Problem 363

2. In a replication of a study in which map reading skills were investigated, 20 men and 20 women completed the original map reading task and the researchers obtained the following data: \begin{tabular}{|l|l|} \hline Male map reading scores & \begin{tabular}{l} $17,20,13,12,13,11,8,17,12,15,14$ , \\ $18,20,17,17,15,13,10,5,9$ . \end{tabular} \\ \hline Female map reading scores & \begin{tabular}{l} $12,8,10,11,4,2,11,18,17,12,13,10$ , \\ $3,15,11,9,10,11,16,10$ . \end{tabular} \\ \hline \end{tabular}
The mean map reading score for both groups together was 12.23. a) What percentage of the male group scored above the mean score and what percentage of the femak group scored above the mean score? Show your calculations. [4 mark ] $\begin{array}{l} 12 \div 20 \times 100=60 \% \text { men } \\ 4 \div 20 * 100=20 \% \text { women } \end{array}$ b) Briefly explain one reason why it is important for research to be replicated. [2 mark

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Problem 364

Find the range and standard deviation of the set of diata $10,40,6,11.18$
The range is $\square$ (Simplify your answer) The standard deviation is $\square$ . (Round to the nearest hundredth as needed.)

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Problem 365

Determine the range and standard deviation of the prices of carnping tents shown below. $\$ 110, \$ 58, \$ 80, \$ 58, \$ 211, \$ 250, \$ 58, \$ 101, \$ 100$
The range of the prices is $\$$ $\square$ (Simplify your answer.)

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Problem 366

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

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Problem 367

Shannon's train fares from NYC to D.C. are: 49, 88, 119, 133, 161, 173, 272. Find the percentile ranks for \$119 and \$272, then identify the fare with a rank of about 82\%.

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Problem 368

Calculate the sum: $\frac{(155-151.49)^{2}}{151.49} + \frac{(131-134.51)^{2}}{134.51} + \frac{(179-161.03)^{2}}{161.03} + \frac{(125-142.97)^{2}}{142.97} + \frac{(103-124.48)^{2}}{124.48} + \frac{(132-110.52)^{2}}{110.52}$ .

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Problem 369

Use the given sample data to find $Q_{3}$ . $\begin{array}{llllllll} 49 & 52 & 52 & 52 & 74 & 67 & 55 & 55 \end{array}$

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Problem 370

MOHAMED - 4. Box plot /document/d/10JYuvo4Tg6n74J1Q2499ujKct3GaQf2 B7qWtyadFuY/edit?pli=18tab=t.0 x plot and Histogram analysis Extensions Help
2. What is the median homework time? $48$
3. What is the median TV time? $60$
4. What is the Upper Quartile for the TV time data? $110$
5. What does the upper quartile for TV time mean?
The point seprates the max 25\% and the min_Q3 are 75\%
6. Some students didn't watch any TV. True, False, or Cannot be determ
False becouse the TV has highest students and homework has lower students
7. The TV box-and-whisker plot contains more data than the homework gra or Cannot be determined $\square$ Q $35 \%$ af tho ctuidante enond hathioan 18 and an minutor nar niaht an hamal Desk 1

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Problem 371

Fifteen students were selected and asked how many hours each studied for the final exam in statistics. Their answers are recorded here. $\begin{array}{lllllllllllllll}2 & 6 & 9 & 0 & 2 & 3 & 9 & 4 & 9 & 7 & 7 & 10 & 4 & 1 & 6\end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
The range is $\square$ 10 hours.
Part: $1 / 3$
Part 2 of 3
The variance is $\square$

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Problem 372

The stock prices for eight major grocery store chains last January were: \begin{tabular}{llllllll} $\$ 18.28$ & $\$ 20.32$ & $\$ 9.36$ & $\$ 11.55$ & $\$ 11.23$ & $\$ 48.06$ & $\$ 48.84$ & $\$ 28.23$ \end{tabular} Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
Part: $0 / 3$
Part 1 of 3
The range is $\$$ $\square$ .

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Problem 373

These data are the number of junk e-mails Lena received for 9 consecutive days. $\begin{array}{lllllllll} 59 & 1 & 1 & 4 & 4 & 28 & 20 & 5 & 9 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Part: $0 / 3$
Part 1 of 3
The range is $\square$ e-mails.

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Problem 374

The weights (in pounds) of nine players from a college football team are recorded as follows. $\begin{array}{lllllllll} 208 & 211 & 305 & 295 & 267 & 288 & 303 & 253 & 261 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Round intermediate calculations to one decimal place.
Part: $0 / 3$
Part 1 of 3
The range is $\square$ pounds.

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Problem 375

Ten used trail bikes are randomly selected from a bike shop, and the odometer reading of each (in miles) is recorded as follows. $\begin{array}{lllllllllll}1902 & 103 & 653 & 1899 & 782 & 359 & 218 & 369 & 223 & 658\end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Part: $0 / 3$
Part 1 of 3
The range is $\square$ miles.

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Problem 376

Acme Company widget weights are normally distributed: mean $56$ oz, SD $7$ oz. Use the Empirical Rule to find:
a) Range for $68\%$ weights. b) Percentage between $56$ and $70$ oz. c) Percentage between $35$ and $77$ oz.

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Problem 377

Calculate the sample standard deviation of the following musical aptitude scores: 0 (3), 1 (1), 2 (7), 3 (0), 4 (2), 5 (3). Use two decimal places.

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Problem 378

Given the altitudes for five checkpoints:
1: -55, 2: -122, 3: -184, 4: 1116, 5: 2879.
(a) What is the altitude of a hill that is 172 feet above Checkpoint 3? (b) How much lower is Checkpoint 2 than Checkpoint 4?

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Problem 379

Find the percentage of people with IQs between 55 and 145, given a mean of 100 and a standard deviation of 15.

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Problem 380

Find the range and standard deviation of the set of data. $210,213,216,219,222,225,228 \text { b }$
The range is $\square$ (Simplify your answer.) The standard deviation is $\square$ (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

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Problem 381

The prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c). \begin{tabular}{llllllllll} $\$ 88$ & $\$ 118$ & $\$ 97$ & $\$ 79$ & $\$ 82$ & $\$ 92$ & $\$ 94$ & $\$ 89$ & $\$ 94$ & $\$ 81$ \\ $\$ 109$ & $\$ 115$ & $\$ 103$ & $\$ 95$ & $\$ 85$ & $\$ 92$ & $\$ 75$ & $\$ 99$ & $\$ 91$ & \end{tabular} a) Determine $Q_{2}$ . $\mathrm{Q}_{2}=$ $\square$ b) Determine $Q_{1}$ . $Q_{1}=$ $\square$ c) Determine $Q_{3}$ . $Q_{3}=$ $\square$

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Problem 382

The following data are from a simple random sample. $5, \quad 8, \quad 10, \quad 7, \quad 10, \quad 14$ What is a point estimate of the population variance $\sigma^{2}$ ? A. $\hat{\sigma}^{2}=s^{2}=10.6$ . B. $\hat{\sigma}^{2}=s^{2}=6$ . C. $\hat{\sigma}^{2}=s^{2}=9.6$ . D. $\hat{\sigma}^{2}=s^{2}=8$ . E. $\hat{\sigma}^{2}=s^{2}=4.5$ .

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Problem 383

(1) Find $Q_{1} ; Q_{2} \leqslant Q_{3}$ of the following sets of data a) $21,27,23,25,23,26,29,28,29,28$ b) $113,119,115,114,118,117,16,115,119$ c) $58,51,59,54,51,57,56,51,53,58,52$ d) $2,11,9,13,15,19,3,7,4,12,16,18,17$

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Problem 384

Calculate the sample standard deviation and sample variance for the following frequency distribution of final exam scores in a statistics class. If necessary, round to one more decimal place than the largest number of decimal places given in the data. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Final Exam Scores } \\ \hline Class & Frequency \\ \hline $41-52$ & 11 \\ \hline $53-64$ & 6 \\ \hline $65-76$ & 7 \\ \hline $77-88$ & 14 \\ \hline $89-100$ & 9 \\ \hline \end{tabular} Copy Data
Answer Tables Keypad
How to enter your answer (opens in new window) Keyboard Shortcuts
Sample standard deviation: $\square$ Sample variance: $\square$

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Problem 385

IvyLearn will automatically save any progress that you have made on the assignment should you want to begin the assig only hit "submit" when you are finished with the assignment and are ready to turn it into your instructor!
1 Fill in the Blank 5 points A package of Oreos has a mean weight of 252 grams and a standard deviation of 9 grams. Find the range of the weights of the middle $99.7 \%$ of Oreo packages.
The middle 99.7\% of Oreo packages range from type your answer... $\square$ to $\square$ type your answer... grams.

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Problem 386

A student measures sugar solution densities: $1.07$ , $1.81$ , $1.93$ , and $1.75$ g/mL. How do her results compare to $1.75$ g/mL?

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Problem 387

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. They are: $2,400 ; 1,750 ; 1,900 ; 2,500 ; 2,250 ; 2,100$
Which of the following represents the numerator in the calculation of variance and standard deviation? $(225)^{2}+(-425)^{2}+(-275)^{2}+(325)^{2}+(75)^{2}+(-75)^{2}=423,750$ $(650)^{2}+(-150)^{2}+(-600)^{2}+(250)^{2}+(150)^{2}+(-300)^{2}=980,000$ $(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)^{2}=420,000$ DONE

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Problem 388

A new television show debuts amid great fanfare, and attracts 14 million viewers for the first episode. The number of viewers for subsequent episodes is shown in the table. \begin{tabular}{|c|c|} \hline Episode \# & \begin{tabular}{c} Viewers \\ (millions) \end{tabular} \\ \hline 1 & 14.0 \\ \hline 2 & 11.0 \\ \hline 3 & 8.8 \\ \hline 4 & 7.9 \\ \hline 5 & 7.2 \\ \hline 6 & 8.2 \\ \hline 7 & 7.9 \\ \hline 8 & 7.8 \\ \hline 9 & 7.6 \\ \hline \end{tabular}
Part: $0 / 2$
Part 1 of 2 (a) Use a graphing calculator to find the correlation coefficient for these data. Round to three decimal places.
The correlation coefficient, rounded to three decimal places, is $\square$ .

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Problem 389

The data below is a list of 120 values of Body Mass Index (BMI) data from the 1998 National Health Interview Survey on US adults. \begin{tabular}{llllllllll} 27.4 & 31.0 & 34.2 & 28.9 & 25.7 & 37.1 & 24.8 & 34.9 & 27.5 & 25.9 \\ 23.5 & 30.9 & 27.4 & 25.9 & 22.3 & 21.3 & 37.8 & 28.8 & 28.8 & 23.4 \\ 21.9 & 30.2 & 24.7 & 36.6 & 25.4 & 21.3 & 22.9 & 24.2 & 27.1 & 23.1 \\ 28.6 & 27.3 & 22.7 & 22.7 & 27.3 & 23.1 & 22.3 & 32.6 & 29.5 & 38.8 \\ 21.9 & 24.3 & 26.5 & 30.1 & 27.4 & 24.5 & 22.8 & 24.3 & 30.9 & 28.7 \\ 22.4 & 35.9 & 30.0 & 26.2 & 27.4 & 24.1 & 19.8 & 26.9 & 23.3 & 28.4 \\ 20.8 & 26.5 & 28.2 & 18.3 & 30.8 & 27.6 & 21.5 & 33.6 & 24.8 & 28.3 \\ 25.0 & 35.8 & 25.4 & 27.3 & 23.0 & 25.7 & 22.3 & 35.5 & 29.8 & 27.4 \\ 31.3 & 24.0 & 25.8 & 21.1 & 21.1 & 29.3 & 24.0 & 22.5 & 32.8 & 38.2 \\ 27.3 & 19.2 & 26.6 & 30.3 & 31.6 & 25.4 & 34.8 & 24.7 & 25.6 & 28.3 \\ 26.5 & 28.3 & 35.0 & 20.2 & 37.5 & 25.8 & 27.5 & 28.8 & 31.1 & 28.7 \\ 24.1 & 24.0 & 20.7 & 24.6 & 21.1 & 21.9 & 30.8 & 24.6 & 33.2 & 31.6 \end{tabular}
Perform the following using the data as provided:
1. An Ordered Array (Ascending order) of the data
2. Generate a grouped frequency distribution table with appropriate intervals
3. Draw a histogram for the distribution
4. Construct a Cumulative Relative Frequency table and use it to draw a i. cumulative frequency curve ii. cumulative frequency polygon iii. pie chart iv. cumulative relative frequency histogram
5. Compute the: i. Mean ii. Median iii. Variance iv. Standard deviation v. Coefficient of variation

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Problem 390

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{5}{|c|}{\begin{tabular}{c} High Temperatures (in \\ of) for Wichita, Ks from \\ September \end{tabular}} \\ \hline 68 & 67 & 74 & 69 & 74 \\ \hline 84 & 75 & 65 & 89 & 83 \\ \hline 86 & 73 & 65 & 63 & 89 \\ \hline 87 & 84 & 81 & 76 & 86 \\ \hline \end{tabular} Copy Data
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 391

Question 11 (1 point)
11. Given that the sum of squares for error (SSE) for an ANOVA F-test is 12,000 and there are 40 total experimental units with eight total treatments, find the mean square for error (MSE). A) 300 B) 375 C) 308 D) 400
Choose the one that best completes the statement or answers the question.

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Problem 392

Calculate the standard deviation for the data: 1 | 877868, 2 | 0323.

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Problem 393

Find the percentage of buyers who paid between \ $22,500 and \$24,500, given a mean of \$22,500 and std dev of \$1000. The percentage is$ \square \%$.

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Problem 394

Convert 98 to a $z$ -score for a normal distribution with mean 80 and standard deviation 12. $z_{98}=$

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Problem 395

Find the percentage of buyers who paid between \$22,500 and \$24,500 using the normal distribution with mean \$22,500 and SD \$1000.

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Problem 396

Based on a survey of 836 adults, 64% favor gun registration. With a margin of error of $\pm 3.5\%$ , find the range of support.

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Problem 397

Calculate the z-score for a murder rate of 29 per 100,000 residents with a mean of 4.87 and standard deviation of 3.8. Round to one decimal place.

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Problem 398

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

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Problem 399

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

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Problem 400

1. The accompanying data on flexural strength ( MPa ) for concrete beams of a certain type was introduced in Example 1.2. \begin{tabular}{rrrrrrr} 5.9 & 7.2 & 7.3 & 6.3 & 8.1 & 6.8 & 7.0 \\ 7.6 & 6.8 & 6.5 & 7.0 & 6.3 & 7.9 & 9.0 \\ 8.2 & 8.7 & 7.8 & 9.7 & 7.4 & 7.7 & 9.7 \\ 7.8 & 7.7 & 11.6 & 11.3 & 11.8 & 10.7 & \end{tabular} a. Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion, and state which estimator you used. Hint: $\quad \Sigma x_{i}=219.8$ . b. Calculate a point estimate of the strength value that separates the weakest $50 \%$ of all such beams from the strongest $50 \%$ , and state which estimator you used. c. Calculate and interpret a point estimate of the population standard deviation $\sigma$ . Which estimstor did you use? Hint: $\quad \sum x_{i}^{2}=1860.94$ . d. Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa . Hint: Think of an observation as a "success" if it exceeds 10. e. Calculate a point estimate of the population coefficient of variation $\sigma / \mu$ , and state which estimator you used.

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Measures of Spread

Problem 301

Problem 302

Problem 303

Find the range and standard deviation of the set of data. 8,11,8,11,11,13,158,11,8,11,11,13,158,11,8,11,11,13,15The range is □\square□ (Simplify your answer.)

Problem 304

Problem 305

31,33,36,41,3431,33,36,41,3431,33,36,41,34Find the standard deviation of the data set. Round your answer to the nearest hundredth. □\square□ pieces of candy

Problem 306

3,2,4,73,2,4,73,2,4,7Find the standard deviation of the data set. Round your answer to the nearest hundredth. □\square□ games

Problem 307

(4) If XXX and YYY are independent random variables such that Var⁡(X)=Var⁡(Y)=5\operatorname{Var}(X)=\operatorname{Var}(Y)=5Var(X)=Var(Y)=5, then Var⁡(X−2Y+7)=\operatorname{Var}(X-2 Y+7)=Var(X−2Y+7)=. (5) Consider a normally distributed data with mean

Problem 308

Standard 15 Suppose the mean commute time among all NKU students is 27.3 minutes with a standard deviation of 9.38 minutes. Consider samples of 49 NKU students for which the sample mean is calculated. A. Fully describe the sampling distribution of the sample mean.

Problem 309

Problem 310

Problem 311

Lisetta's new temperature lowers the standard deviation. What can we conclude about today's temperature compared to the previous 10 days?

Problem 312

Eileen has a data set with 12 values and a standard deviation of 0. What must be true? Select all that apply.

Problem 313

Sandy analyzes teen wages, calculates mean, median, and standard deviation, then compares original and raised by \$2/hr.

Problem 314

Problem 315

Problem 316

Problem 317

Problem 318

Problem 319

Problem 320

Problem 321

Problem 322

Problem 323

Problem 324

Problem 325

Problem 326

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00.

Problem 327

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00. Options: a) 4.02, 1.12 b) 4.78, 2.21 c) 5.03, 1.35 d) 8.14, 2.85.

Problem 328

Find the zzz-score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

Problem 329

Which score from the set 10,20,30,40,50,6010, 20, 30, 40, 50, 6010,20,30,40,50,60 has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Problem 330

Find how many standard deviations above the mean a person with a 1Q1 \mathrm{Q}1Q of 130 scores.

Problem 331

Calculate the mean absolute deviation of the values 4, 15, 16, 7, 5, 19. Round to the nearest hundredth if needed.

Problem 332

Find the standard deviation of the monthly salaries (in \1000s):1000s): 1000s):8, 13, 11, 12, 6, 10$. Round to two decimal places.

Problem 333

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

Problem 334

Calculate the range of the following traveler spending data (in billions): 20.9,33.1,21.8,58.5,23.5,110.9,30.4,24.9,74.1,60.3,40.4,45.420.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.420.9,33.1,21.8,58.5,23.5,110.9,30.4,24.9,74.1,60.3,40.4,45.4. Round to two decimal places.

Problem 335

Two groups measure fall times for a ball. Find averages, percentage errors, standard deviations, and variances. Round to two decimals.

Problem 336

Find the range for at least 75%75\%75% of Americans' online time using Chebyshev's theorem, with an average of 4 hours and SD of 27 min.

Problem 337

Find the range for online time where at least 75% of Americans lie, using Chebyshev's theorem. Average: 4 hrs, SD: 27 min.

Problem 338

Find the range, variance, and standard deviation for the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Range is 28. Use sample formulas.

Problem 339

Find the range, variance, and standard deviation of the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Use sample formulas.

Problem 340

Calculate the range, variance, and standard deviation of these scores: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

Problem 341

Find the range, variance, and standard deviation for the data: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

Problem 342

Find the boundaries for 95%95\%95% of SAT math scores, given an average of 523 and a standard deviation of 42.

Problem 343

Calculate the range of traveler spending: 20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6. Round to two decimal places.

Problem 344

Calculate the variance for the numbers 20.7,33.2,21.5,58,23.8,110,30.6,24,74,60.8,40.7,45.5,65.620.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.620.7,33.2,21.5,58,23.8,110,30.6,24,74,60.8,40.7,45.5,65.6. Indicate if it's sample or population variance.

Problem 345

Find the range of the density data: 10.34, 10.58, 10.62. Average density is 10.51 g/cm³.

Problem 346

What does a standard deviation of 13 in exam scores mean? a. Scores are within 13 points of the mean. b. Highest and lowest scores differ by 13 points. c. Scores vary by 13 points. d. Scores vary from the mean by 13 points.

Problem 347

Question The graph below shows the graphs of several normal distributions, labeled A,BA, BA,B, and CCC, on the same axis. Determine which normal distribution has the largest standard deviation.Select the correct answer below: A B C

Problem 348

Find the standard deviation for the following group of data items. 6,11,11,196,11,11,196,11,11,19The standard deviation is approximately □\square□ (Round to two decimal

Find the range and standard deviation of the set of data. $8,11,8,11,11,13,15$
The range is $\square$ (Simplify your answer.)

$31,33,36,41,34$
Find the standard deviation of the data set. Round your answer to the nearest hundredth. $\square$ pieces of candy

$3,2,4,7$
Find the standard deviation of the data set. Round your answer to the nearest hundredth. $\square$ games

(4) If $X$ and $Y$ are independent random variables such that $\operatorname{Var}(X)=\operatorname{Var}(Y)=5$ , then $\operatorname{Var}(X-2 Y+7)=$ . (5) Consider a normally distributed data with mean

Find the $z$ -score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

Find the standard deviation of the monthly salaries (in \ $1000s):$ 8, 13, 11, 12, 6, 10$. Round to two decimal places.

Calculate the range of the following traveler spending data (in billions): $20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4$ . Round to two decimal places.

Find the range for at least $75\%$ of Americans' online time using Chebyshev's theorem, with an average of 4 hours and SD of 27 min.

Find the boundaries for $95\%$ of SAT math scores, given an average of 523 and a standard deviation of 42.

Calculate the variance for the numbers $20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6$ . Indicate if it's sample or population variance.

Question The graph below shows the graphs of several normal distributions, labeled $A, B$ , and $C$ , on the same axis. Determine which normal distribution has the largest standard deviation.
Select the correct answer below: A B C

Find the standard deviation for the following group of data items. $6,11,11,19$
The standard deviation is approximately $\square$ (Round to two decimal

3. If a random sample of 36 is obteined from a population with mean $=50$ and a standard deviation $=24$ , what is the mean and standard deviation of the sampling distribution?

Find the range and standard deviation of the set of diata $10,40,6,11.18$
The range is $\square$ (Simplify your answer) The standard deviation is $\square$ . (Round to the nearest hundredth as needed.)

Use the given sample data to find $Q_{3}$ . $\begin{array}{llllllll} 49 & 52 & 52 & 52 & 74 & 67 & 55 & 55 \end{array}$