Test if the percentage of blue candies is 23% in a sample of 100 candies. Choose the correct null and alternative hypotheses. A. H0:p=0.23,H1:p=0.23
B. H0:p=0.23,H1:p>0.23
C. H0:p=0.23,H1:p=0.23
D. H0:p=0.23,H1:p<0.23
Find the third integer if the sum of three consecutive integers is 186 and the first integer is 61. The first integer is 61. The second integer is 62. The third integer is □.
Estimate the mean height of all female students at a college using a random sample of 36 students. The sample mean is 65.3 inches and the standard deviation is 5.2 inches. Find the 90% confidence interval for the true mean, assuming a normal distribution.
Determine if the relation defined by the set of ordered pairs {(−1,20),(23,21),(−6,−19),(−16,14),(−20,10),(−14,−4)} is a function. State the domain and range.
Divide €2100 among 3 people such that the second gets 2x the first, and the third gets 2x the second. Find the amount each person receives. x+3x+2.4x=320000⇒6.4x=320000⇒x=50000 The first heir receives €50000, the second €150000 (= 3 * €50000), and the third €120000 (= 2.4 * €50000).
Write a system of equations to find the number of adult and student tickets sold for a school musical, given that adult tickets cost $3.50, student tickets cost $2.50, and 321 tickets were sold for a total of $937.50.
Rewrite the equation 0=−41(x+7)2+18 in standard form. Simplified problem statement (128 characters): Rewrite 0=−41(x+7)2+18 in standard form ax2+bx+c=0.
Test claim about population mean μ using t-test at α=0.10. Given: μ=74,xˉ=77.4,s=3.4,n=27. What are the null and alternative hypotheses? The correct answer is B: H0:μ=74,HA:μ=74. The value of the standardized test statistic is s/nxˉ−μ=5.29. (Rounded to two decimal places)
Estimate the proportion (p) of the voting population that prefers Candidate A, given that 80 out of 100 sampled people preferred A. Use a 99% confidence level and give the answer as a decimal to three places.
Find the composition f∘g for f(x)=x−3x and g(x)=x11. Simplify the result and write the domain using interval notation.
(f∘g)(x)=11−311
Domain of f∘g:x=0,3
Find the domain of the function f(x)=1.25x that models the amount of water, in quarts, in a bucket after x seconds, where the bucket needs to be filled with 70 quarts.