Measures of Spread

Problem 201

Find the z\mathrm{z}-score for x=7\mathrm{x}=7 given that the mean of X\mathrm{X} is 4 and standard deviation is 2.

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Problem 202

Find the skewness (=4.217=4.217) and kurtosis (=18.342=18.342) of the data and describe the distribution shape.

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Problem 203

Find the class width if the range is 71.4, measurement unit is 0.001, and there are 10 classes.

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Problem 204

A pencil measures 7.50cm7.50 \, \text{cm}. Find (a) max absolute error, (b) relative error, (c) percentage error. Use 3 sig. figs.

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Problem 205

Calculate the average return, covariance, and correlation coefficient for Merias and Gangnam based on their monthly returns.

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Problem 206

A machine that manufactures automobile pistons is estimated to produce a defective piston 1%1 \% of the time. Suppose that this estimate is correct and that a random sample of 90 pistons produced by this machine is taken.
Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. \square (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. \square

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Problem 207

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Problem 208

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3 . What percent of students in the course have a GPA between 2.9 and 3.8?

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Problem 209

Q6) (3 points) Given the following table \begin{tabular}{|c|c|c|c|c|} \hlinexx & 6 & 7 & 8 & 9 \\ \hline Frequency & 5 & 8 & 7 & 5 \\ \hline \end{tabular}
Find the 80th 80^{\text {th }} percentile ( P80P_{80} ) for the sample.

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Problem 210

What is an outlier in a regression? A y value 2 standard deviations away from the mean of yy An xx value 2 standard deviations away from the mean of xx c. A yy value that is 2 standard deviations away from the expected value of yy None of the above

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Problem 211

Find a zz-score for a data value of 7 if the mean of a set of data is 58 and the standard deviation is 16.9.
Round your answer to at least two decimal places. \square

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Problem 212

Find a 99%99\% confidence interval for the standard deviation σ\sigma of washing machine replacement times from a sample of 20, with mean 11.6 and SD 2.2. Calculate χL2\chi_{L}^{2}, χR2\chi_{R}^{2}, and interpret the interval.

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Problem 213

For males, systolic blood pressure is normal with mean 120 and SD 5. Find the interval for the middle 68%68\%.

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Problem 214

Find the systolic blood pressure range for the middle 99.7%99.7\% of males, given a mean of 105 and SD of 10.

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Problem 215

Find the z-score for a person who scored 26 on an exam with a mean of 24 and a standard deviation of 4.

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Problem 216

Find the systolic blood pressure range for the middle 99.7%99.7\% of males, given mean 125125 and SD 77.

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Problem 217

Find the z-score for a person who scored 128 on a test with a mean of 100 and a standard deviation of 10: z=12810010z = \frac{128 - 100}{10}.

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Problem 218

Find the z-score for a score of 47 on a test with a mean of 36 and standard deviation of 4. Use z=xμσz = \frac{x - \mu}{\sigma}.

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Problem 219

Find the z-score for a score of 160 on a standardized exam where the mean is 135 and the standard deviation is 25.

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Problem 220

Find the z-score for a score of 350 on a normal distribution with mean 300 and standard deviation 40.

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Problem 221

Find the z-score for a score of 210, given a mean of 200 and a standard deviation of 20. Use z=xμσz = \frac{x - \mu}{\sigma}.

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Problem 222

Complete the sentence below. The standard deviation of the sampling distribution of xˉ\bar{x}, denoted σxˉ\sigma_{\bar{x}}, is called the \qquad of the \qquad .
The standard deviation of the sampling distribution of xˉ\bar{x}, denoted σxˉ\sigma_{\bar{x}}, is called the \square \square of the \square

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Problem 223

Suppose a new sedan car in 2013 or 2014 , which has a gas mileage in the city of 40 to 50 mpg , had the following prices: \begin{tabular}{|c|c|c|} \hline Curyes (t) & & \\ \hline 32.601 & 29.900 & 27,800 \\ \hline 37,600 & 31,900 & 35,000 \\ \hline 26,600 & 31,100 & 38,000 \\ \hline 31,800 & 38,000 & 29,800 \\ \hline 33.600 & 36.810 & 32,500 \\ \hline 20,600 & & \\ \hline \end{tabular} a) Find the five-number summary for this data. Enter the values in the order of Minimum, Quartile 1, Median, Quartile 3, and Maximum, separated by commas. b) Find the interquartile range. c) Create a boxplot for this data by dragging the points on the number line.

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Problem 224

a group of tects lest wibhth wes 28 with a rengs ond standerd Geviction belowt the meshilhow manny clathe clowntload? 25
31
23

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Problem 225

The Virginia Cooperative Extension reports the mean weight of yearling Angus steers is 1152 lbs. Suppose the standard deviation is 84 lbs . How many standard deviations from the mean would a steer weighing 1000 lbs be? 0.6190 1.8095 1.8095-1.8095 0.6190-0.6190

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Problem 226

A rainstorm in Portland, Oregon, wiped out the electricity in 5%5 \% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm.
Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. \square (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. \square

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Problem 227

Rohan describes the dataset 16,40,39,45,2016,40,39,45,20 by calculating the spread. Which equation gives the value of the spread? (1 point) 4016=2440-16=24 4520=2545-20=25 4020=2040-20=20 4516=2945-16=29

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Problem 228

The students in a precalculus class measured each student's height and arm span, in centimeters. The students calculated a linear regression ya+bxy-a+b x with heights as the input values and arm spans as the output values. The given residual plot has a point labeled PP at coordinates (175,23.4)(175,23.4). What does point PP indicate in the context?

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Problem 229

Calculate the interquartile range for these data sets: Set 1: 21, 5, 14, 10, 8, 17, 2 Set 2: 27, 26, 31, 23, 28, 32, 26 Which set has an interquartile range indicating data is closer to the median?

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Problem 230

Find the interquartile range of the data set: 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81. A. 62 B. 21 C. 79 D. 41

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Problem 231

Find the standard deviation of ACT scores, mean = 21.5, with 19% above 25. Round to the nearest tenth.

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Problem 232

Sharon Smith evaluates investments X, Y, Z against a 12% return, 6% std. dev. Select investments for risk neutral, averse, and seeking.

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Problem 233

Solar Designs is evaluating two expansions. Find the return ranges, assess risk, choose an investment, and analyze changes if rates shift.

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Problem 234

Solar Designs is evaluating two expansions. Determine the return range for each, assess risk, and choose an investment.

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Problem 235

A group of data items and their mean are given. 21,35,49,84,126,189; Mean =8421,35,49,84,126,189 ; \text { Mean }=84 a. Find the deviation from the mean for each of the data items. b. Find the sum of the deviations in part (a). a. Type the deviation from the mean for each of the data items. \begin{tabular}{|c|c|c|c|c|c|} \hline 21 & 35 & 49 & 84 & 126 & 189 \\ \hline & & & & & \\ \hline \end{tabular}

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Problem 236

A group of data items and their mean are given. 21,35,49,84,126,189; Mean =8421,35,49,84,126,189 ; \text { Mean }=84 a. Find the deviation from the mean for each of the data items. b. Find the sum of the deviations in part (a). a. Type the deviation from the mean for each of the data items. \begin{tabular}{|c|c|c|c|c|c|} \hline 21 & 35 & 49 & 84 & 126 & 189 \\ \hline-63 & -49 & -35 & 0 & 42 & 105 \\ \hline \end{tabular} b. The sum of the deviations in part (a) is \square

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Problem 237

Homework \# 4: 7(1,2,3,4)8(2,3,4)7(1,2,3,4) 8(2,3,4) Question 7 of 40 (1 point) | Question Attempt: 1 of 3 1\checkmark 1 ×2\times 2 3\checkmark 3 ×4\times 4 5\equiv 5 6 7 8 9
A normal distribution has mean μ=61\mu=61 and standard deviation σ=20\sigma=20. Find and interpret the zz-score for x=63x=63.
The zz-score for x=63x=63 is \square . So 63 is \square standard deviations (Choose one) the mean μ=61\mu=61.

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Problem 238

The scores on a test are normally distributed with a mean of 200 and a standard deviation of 10 . Find the score that is 3123 \frac{1}{2} standard deviations above the mean.
A score of \square is 3123 \frac{1}{2} standard deviations above the mean.

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Problem 239

Find the range for the group of data items. 22,23,24,25,2622,23,24,25,26
The range is \square

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Problem 240

A group of data items and their mean are given. 21,35,49,84,126,189; Mean =8421,35,49,84,126,189 ; \text { Mean }=84 a. Find the deviation from the mean for each of the data items. b. Find the sum of the deviations in part (a). a. Type the deviation from the mean for each of the data items. \begin{tabular}{|c|c|c|c|c|c|} \hline 21 & 35 & 49 & 84 & 126 & 189 \\ \hline & & & & & \\ \hline \end{tabular} b. The sum of the deviations in part (a) is \square

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Problem 241

Construct a 95%95 \% confidence interval for the population standard deviation σ\sigma if a sample of size 17 has standard deviation s=6.7s=6.7. Round the answers to at least two decimal places.
A 95%95 \% confidence interval for the population standard deviation is: \square \square <σ<<\sigma<

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Problem 242

Homework \# 4: 7(1,2,3,4)8(2,3,4)7(1,2,3,4) 8(2,3,4) Question 21 of 40 (1 point) I Question Attempt: 1 of 3 Jonatha 12\checkmark 12 13 14\checkmark 14 15 16 18 19 20 21\equiv 21 22\checkmark 22
Student loans: The Institute for College Access and Success reported that 65%65 \% of college students in a recent year graduated with student loan debt. A random sample of 90 graduates is drawn. Round your answers to at least four decimal places if necessary.
Part 1 of 6 (a) Find the mean μp^\mu_{\hat{p}}.
The mean μp\mu_{p} is 0.65 .
Part: 1 / 6
Part 2 of 6 (b) Find the standard deviation σp^\sigma \hat{p}.
The standard deviation σp^\sigma \hat{p} is \square Save For Later Subm

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Problem 243

www-awu.aleks.com tting and Onlin.... Sports Betting Secret - 11/22/24 ATL @ CHI III St... Home - Northern Essex... Content ChatGPT (5) KaiCenat - Twitcr Homework \# 4: 7(1,2,3,4)8(2,3,4)7(1,2,3,4) 8(2,3,4) Question 40 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan Español
Eat your cereal: Boxes of cereal are labeled as containing 16 ounces. Following are the weights of a sample of 12 boxes. Assume the population is normally distributed. \begin{tabular}{llllll} \hline 16.05 & 15.96 & 16.13 & 16.07 & 16.17 & 16.07 \\ 16.03 & 16.17 & 16.16 & 15.96 & 16.18 & 16.18 \\ \hline \end{tabular} Send data to Excel
Part 1 of 3 (a) Find the sample standard deviation. Round the answer to at least four decimal places.
The sample standard deviation ss is 0.0452 .
Correct Answer: 0.08260.0826
Part: 1/31 / 3
Part 2 of 3 (b) Construct a 99%99 \% confidence interval for the population standard deviation σ\sigma. Round the answers to at least two decimal places.
A 99%99 \% confidence interval for the population standard deviation is \square <σ<<\sigma< \square . Skip Part Check Save For Later Submit Assign

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Problem 244

The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. Assume that the population standard deviation is 2.5 kWh . The mean electricity usage per family was found to be 17.7 kWh per day for a sample of 443 families. Construct the 80%80 \% confidence interval for the mean usage of electricity. Round your answers to one decimal place.

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Problem 245

The stem-and-leat plot shows the number of guesses for the number of marbles in a jar. Use the stem-and-leaf plot for questions 1-3.
Guesses for Number of Marbles in a Jar \begin{tabular}{c|llllll} \hline Stem & \multicolumn{6}{|c}{ Leaves } \\ \hline 6 & 5 & 5 & 6 & 8 & 9 & 9 \\ 7 & 2 & 3 & 3 & 8 & 8 & 9 \\ 8 & 3 & 5 & & & & \\ 9 & 1 & 2 & 3 & 6 & & \\ & & 615 & represents 65 \end{tabular}
1. (1 point) Half the guesses is less than what number? a. 73 b. 73.5 c. 75.5 d. 78
2. (1 point) How many guesses for the number of marbles in the jar? a. 22 b. 18 c. 14 d. 31
3. (1 point) Two more guesses were added to the data set, their values were 63 and 68. Which statement about the data is true? a. The range stays the same. b. The range increases by two. c. The range decreases. d. The range doubles.

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Problem 246

Claim: The standard deviation of pulse rates of adult males is more than 11 bpm . For a random sample of 174 adult males, the pulse rates have a standard deviation of 12.4 bpm . Complete parts (a) and (b) below. a. Express the original claim in symbolic form. \square \square \square bpm (Type an integer or a decimal. Do not round.)

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Problem 247

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: \begin{tabular}{|r|} \hline 55 \\ \hline 60.5 \\ \hline 49.4 \\ \hline 46 \\ \hline 55.5 \\ \hline 41.7 \\ \hline 35.6 \\ \hline 75.9 \\ \hline 47.2 \\ \hline 62.3 \\ \hline \end{tabular}
Find the 99%99 \% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
99\% C.I. = \square Answer should be obtained without any preliminary rounding.

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Problem 248

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: \begin{tabular}{|r|} \hline 17.5 \\ \hline 12.7 \\ \hline 12.7 \\ \hline 2.1 \\ \hline 7.4 \\ \hline 13.1 \\ \hline 39.6 \\ \hline 21.4 \\ \hline 33.9 \\ \hline 3.9 \\ \hline 25.1 \\ \hline 36.7 \\ \hline \end{tabular}
Find the 99%99 \% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
99\% C.I. =
Answer should be obtained without any preliminary rounding.

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Problem 249

The gates of 80 students have been recorded showing man of 18 and variance of 16 . Then the proportion of thee grades will tall betweren 8 and 78 is At least 56\% At least 89\% Approximately 18%18 \% Approximately 99.7\% At least 25\% At least 84\%

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Problem 250

Not yet answered Marked out of 1.00
The grades of 50 students have been recorded showing mean of 12 and variance of 9 . Note that the median mode, and the mean are equal. Then the number of these grades will fall between 3 and 12 is approximatehy 31 17 45 34 25 41

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Problem 251

Which of the following coefficients indicates the most consistent or strongest relationship? - 56 1.08 55

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Problem 252

Find the standard deviation of human pregnancy lengths given a mean of 267 days and 95%95\% lasting between 245 and 289 days. What percent last at least 285 days? Standard deviation: \square days.

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Problem 253

Find the cutoff score for an AA if the mean is 74 and the standard deviation is 8.11, top 6%6\%.

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Problem 254

Calculate the coefficient of variation for four production alternatives with returns and standard deviations. Recommend the best option to minimize risk.

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Problem 255

Greengage, Inc. is evaluating four projects. Determine the least risky by range, lowest standard deviation, and calculate the coefficient of variation for each project. Which project should they choose?

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Problem 256

Swift Manufacturing evaluates two projects. Find the return range, expected return, standard deviation, and coefficient of variation for each project. Also, create bar charts for the returns and determine which project is less risky.

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Problem 257

Find the confidence interval for the true mean weight given a mean of 167 pounds and a margin of error of 3 pounds.

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Problem 258

Calculate the expected return rpr_{p} for a portfolio of stocks L (40\%) and M (60\%) over 2013-2018, then find rˉp\bar{r}_{p} and σrp\sigma_{r_{p}}. Discuss correlation and diversification benefits.

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Problem 259

Find a reasonable value for the true mean weight of residents if the mean is 197 pounds with a margin of error of 9 pounds.

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Problem 260

Find the confidence interval for the true mean SAT score given a mean of 449 and a margin of error of 18.

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Problem 261

Jamie Wong's portfolio has stocks L (40%) and M (60%). Calculate expected return, average return, std. dev., correlation, and diversification benefits.

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Problem 262

Find the confidence interval for the mean SAT score given a mean of 454 and a margin of error of 27.

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Problem 263

Find the interquartile range of the following heights (in inches): 5'4", 6'2", 6', 5'4", 5'4", 5'3", 5'5", 5'6", 5'4", 5'3".

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Problem 264

Analyze expected returns and risks for three investment alternatives using data from assets F, G, and H from 2013-2016. Calculate returns, standard deviations, and coefficients of variation. Recommend the best alternative.

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Problem 265

Survey shows 56%56\% in favor and 44%44\% opposed to a garage sale. Find least and greatest percent opposed (±5%\pm 5\%). Is half the town opposed? Explain.

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Problem 266

Describe the distribution of ages for club members given the data: 5: 0, 7, 8; 6: 1, 2, 3, 3, 4, 6, 9; 7: 0, 1, 4, 5, 8, 9; 8: 0, 2.

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Problem 267

How many police officers in 2016 must exceed the private investigators' percent increase from 52,000 to 61,000? Options: a. 657,983 b. 761,307 c. 671,128 d. 713,180

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Problem 268

Which job will see the highest percent increase in employment from 2006 to 2016: Orthodontist, Sound engineer technician, Police officer, or Editor?

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Problem 269

Find the interquartile range of the data set: 10,3,7,6,9,12,1310, 3, 7, 6, 9, 12, 13.

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Problem 270

> 品 Strayer | Login 10 Strayer iCampus 3/5 Matilda × ALEKS Pre Progress A ALEKS - Matilda Brown - Learn Strayer | Login www.awu.aleks.com/alekscgi/x/Isl.exe/10_u-lgNslkr7j8P3jH-lv-6bxjbonmDn7WsVrRAXK6XnHkiRvH2tl80ejhwea6J2X7yfGCtAoPekUuyMVUtsiOBf5oj98Ug4xlBa9QJsr9ESAML1no?1oBw7QYjlbav... Strayer Technical Su... Microtek Support Microsoft Office Adobe Acrobat Statistics Percentage of data below a specified value Susan asked 10 students how many courses they have taken so far at her college. Here is the list of answers. 12, 9, 13, 6, 2, 19, 15, 4, 21, 15 What is the percentage of these students who have taken fewer than 5 courses? 1% Х All Bookmarks Español C 鳳凰国 Explanation Check 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

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Problem 271

Determine the range and standard deviation of the prices of camping tents shown below. $109,$59,$81,$59,$212,$252,$59,$101,$130 b b. \$ 109, \$ 59, \$ 81, \$ 59, \$ 212, \$ 252, \$ 59, \$ 101, \$ 130 \text { b b. }
The range of the prices is $\$ \square (Simplify your answer.)

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Problem 272

In the distributions shown, state the mean and standard deviation for each. Hint: The vertical lines are 1 standard deviation apart.
Part: 0 / 2
Part 1 of 2 (a)
Mean = \square Standard deviation == \square

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Problem 273

37. A particular brand of dishwasher soap is sold in three sizes: 25oz,40oz25 \mathrm{oz}, 40 \mathrm{oz}, and 65 oz . Twenty percent of all purchasers select a 25 oz box, fifty percent select a 40 oz box, and the remaining thirty percent choose a 65 oz box. Let X1X_{1} and X2X_{2} denote the package sizes selected by two independently selected purchasers. a. Determine the sampling distribution of Xˉ\bar{X}, calculate E(Xˉ)E(\bar{X}), and compare to μ\mu. b. Determine the sampling distribution of the sample variance S2S^{2}, calculate E(S2)E\left(S^{2}\right), and compare to σ2\sigma^{2}.

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Problem 274

According to data from the city of Toronto, Ontario, Canada, there were more than 180,000 parking infractions in the city for December 2015, with fines totaling over 8,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2015 are listed below.\text{According to data from the city of Toronto, Ontario, Canada, there were more than 180,000 parking infractions in the city for December 2015, with fines totaling over 8,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2015 are listed below.}
30303030406040155015040303030403040303030404040306060301504030250403030303030304030403050154040304030403030403030301003040303030403030304010030403040304040404030303060304040304015603015150150404030301506030406030404030\begin{array}{rrrrrrr} 30 & 30 & 30 & 30 & 40 & 60 & 40 \\ 15 & 50 & 150 & 40 & 30 & 30 & 30 \\ 40 & 30 & 40 & 30 & 30 & 30 & 40 \\ 40 & 40 & 30 & 60 & 60 & 30 & 150 \\ 40 & 30 & 250 & 40 & 30 & 30 & 30 \\ 30 & 30 & 30 & 40 & 30 & 40 & 30 \\ 50 & 15 & 40 & 40 & 30 & 40 & 30 \\ 40 & 30 & 30 & 40 & 30 & 30 & 30 \\ 100 & 30 & 40 & 30 & 30 & 30 & 40 \\ 30 & 30 & 30 & 40 & 100 & 30 & 40 \\ 30 & 40 & 30 & 40 & 40 & 40 & 40 \\ 30 & 30 & 30 & 60 & 30 & 40 & 40 \\ 30 & 40 & 15 & 60 & 30 & 15 & 150 \\ 150 & 40 & 40 & 30 & 30 & 150 & 60 \\ 30 & 40 & 60 & 30 & 40 & 40 & 30 \end{array}
Parking Infractions by Time of Day\text{Parking Infractions by Time of Day} (Source: City of Toronto)\text{(Source: City of Toronto)}
The figures above show parking infractions in Toronto, Ontario, Canada, for December 2015 by time of day and by day.\text{The figures above show parking infractions in Toronto, Ontario, Canada, for December 2015 by time of day and by day.}
Hello! It looks like you’ve provided data on parking fines in Toronto for December 2015. However, I need more information to understand what specifically you need help with regarding this data. Could you please clarify the question or the problem you’re trying to solve? For example, are you looking for a statistical analysis, a calculation of averages, or something else? Once I have a bit more context, I’ll be happy to help!\text{Hello! It looks like you've provided data on parking fines in Toronto for December 2015. However, I need more information to understand what specifically you need help with regarding this data. Could you please clarify the question or the problem you're trying to solve? For example, are you looking for a statistical analysis, a calculation of averages, or something else? Once I have a bit more context, I'll be happy to help!}
Find the sample standard deviation, find the five number summary, make a frequency distribution, make a histogram\text{Find the sample standard deviation, find the five number summary, make a frequency distribution, make a histogram}

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Problem 275

1
A population has mean μ=21\mu=21 and standard deviation σ=6\sigma=6. Find μxˉ\mu_{\bar{x}} and σxˉ\sigma_{\bar{x}} for samples of size n=25n=25. Round your answers to one decimal place if needed. μxˉ=σxˉ=\begin{array}{l} \mu_{\bar{x}}=\square \\ \sigma_{\bar{x}}=\square \end{array} \square

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Problem 276

Claim: The standard deviation of pulse rates of adult males is more than 11 bpm . For a random sample of 140 adult males, the pulse rates have a standard deviation of 11.3 bpm . Complete parts (a) and (b) below. a. Express the original claim in symbolic form. \square \square \square bpm (Type an integer or a decimal. Do not round.)

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Problem 277

Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 11.4423 11.3598 is the standard deviation of the second sample. \square Question Help: Written Example 0 Post to forum Submit Question

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Problem 278

\begin{tabular}{|l|l|} \hline Firm & Market Share (\%) \\ \hline A & 40 \\ \hline B & 33 \\ \hline C & 12 \\ \hline D & 11 \\ \hline E & 4 \\ \hline \end{tabular}
Refer to the data. The four-firm concentration ratio for this industry is (A) 100 percent. (B) 96 percent. (C) 95 percent. (D) indeterminate because we don't know which four firms are included.

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Problem 279

Use the following distribution to complete parts (a) through (d) below. 3,6,7,10,93,6,7,10,9 \square a) Compute the mean and standard deviation of the distribution.
The mean is 7 . The standard deviation is \square (Round to the nearest hundredth as needed.)

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Problem 280

Use the following distribution to complete parts (a) through (d) below. 3,6,7,10,93,6,7,10,9 a) Compute the mean and standard deviation of the distribution.
The mean is 7 . The standard deviation is 2.74 : (Round to the nearest hundredth as needed.) b) Multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution.
The mean is \square

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Problem 281

Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why. 9,12,13,14,16,209,12,13,14,16,20 17,18,18,19,19,2017,18,18,19,19,20
Choose the correct answer below. A. The second set will have the greater standard deviation because the data have a greater spread about the mean. B. The standard deviations would be the same since the spread of data about each mean is the same. C. The first set will have the greater standard deviation because the data have a greater spread about the mean. D. The first set will have the greater standard deviation because the data have a smaller spread about the mean.

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Problem 282

Find the least value among the median, mean, and range of these numbers: 11, 24, 37, 38, 41, 46.

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Problem 283

Create a box and whisker plot for the heights: 62, 63, 64, 64, 66, 67, 68, 72, 72, 74, 75, 76. Find the interquartile range.

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Problem 284

Calculate the standard deviation and variance of the data: 16.3, 1.7, 28, 9.2, 15.2, 26.1, 8.5, 20.4.

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Problem 285

Calculate the sample and population standard deviations for the data: 22, 25, 21, 11, 15, 29. Round to two decimals.

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Problem 286

Find the min, max, range, mean (to 2 decimals), and standard deviation of TV hours for 24 kids: 77, 38, 35, 54, 30, 32, 85, 12, 70, 91, 25, 71, 95, 90, 99, 11, 66, 74, 90, 78, 34, 77, 39, 62.

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Problem 287

Calculate the sample standard deviation for the aptitude scores with frequencies: 0 (2), 1 (6), 2 (0), 3 (0), 4 (3), 5 (4).

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Problem 288

Calculate the sample standard deviation of the following musical aptitude scores: 0 (3), 1 (3), 2 (1), 3 (8), 4 (3), 5 (5).

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Problem 289

Find the five-number summary (min, Q1, median, Q3, max) for the dataset: 53, 18, 54, 65, 48, 70, 38, 63, 28, 41, 45, 33, 52, 20, 43, 23, 30, 79, 42, 89.

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Problem 290

Find the five-number summary (min, Q1, median, Q3, max) for the data set: 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56.

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Problem 291

Find the five-number summary and IQR for the data: 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56. Identify outlier bounds and any outliers.

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Problem 292

Find the five number summary, range, and interquartile range from the given stem & leaf plot data.

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Problem 293

Find the five-number summary for the data: 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56. Determine IQR, lower & upper outlier bounds, and any outliers.

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Problem 294

Find the five-number summary for the data: 10, 12, 21, 35, 36, 41, 42, 43, 44, 46, 47, 49, 52, 58, 59, 60, 83, 88. Calculate IQR, outlier bounds, and any outliers.

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Problem 295

In a group of 348 students, how many will have an IQ within 1 standard deviation (15) of the mean (100)?

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Problem 296

What percentage of a sample is above 3 standard deviations from the mean according to the empirical rule? a. 2.5 b. 0.5 c. 1 d. 2

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Problem 297

How many students have IQs > 100? Also, what % of a sample is within one standard deviation below the mean?

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Problem 298

11. Below are the ages of contestants on a game show. Find the standard deviation of the data. 292021193528333126323522\begin{array}{llllllllllll} 29 & 20 & 21 & 19 & 35 & 28 & 33 & 31 & 26 & 32 & 35 & 22 \end{array}

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Problem 299

14. A survey was done to see the average amount of money that a single adult spends on a meal eating out. The results are below. \begin{tabular}{lllllllllll} 5 & 10 & 8 & 7 & 6 & 5 & 12 & 15 & 14 & 10 & 13 \\ 15 & 20 & 25 & 14 & 7 & 6 & 8 & 9 & 10 & 12 & 14 \\ 22 & 24 & 21 & 8 & 18 & 16 & 14 & 13 & 12 & 9 & 10 \\ 15 & 10 & 7 & 8 & 9 & 14 & 13 & 16 & 12 & 14 & 18 \\ 12 & 8 & 22 & 17 & 13 & 10 & 9 & 8 & 6 & 5 & 24 \end{tabular}
Make a box and whisker plot of the data. Find the interquartile range.

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Problem 300

In the sport of American football, teams attempt to advance a ball towards a goal (end zone) by throwing (passing) the ball or by running with the ball (rushing). The position called running back is usually responsible for rushing. A college coach is evaluating two running backs by looking at the number of yards gained for each attempt in the last game. The following table shows the number of yards gained in each of the last 6 rushing attempts for the two players. \begin{tabular}{|l|c|c|c|c|c|c|} \hline & Rush \#1 & Rush \#2 & Rush 3 & Rush \#4 & Rush \#5 & Rush \#6 \\ \hline Player G & 0 & 1 & 5 & 0 & 6 & 3 \\ \hline Player T & -1 & 11 & 9 & 11 & 19 & 2 \\ \hline \end{tabular}
Question 6/106 / 10 What is the range of yards per rushing attempt for each player? \begin{tabular}{|c|c|c|c|} \hline & Average & Median & Range \\ \hline Player G & 2.5 & 2 & \square \\ \hline Player T & 8.5 & 10 & \square \\ \hline \end{tabular}

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