For each problem on this test you must write the numbers you used into the formulas you used for credit and all sentence answers must have correct punctuation and spelling. 1.(14 pts.) In a random sample of five microwave ovens, the mean repair cost was $75 and the standard deviation was $12.50. Construct a 95% confidence interval for the mean. State in words what your confidence interval means. 2. (14 pts.) You want to estimate the mean number of sentences in a magazine advertisement. How many magazine advertisements must be included in the sample if you want to be 95% confident that the sample mean is within one sentence of the population mean? Use a standard deviation of o = 5.0 sentences.For each problem on this test you must write the numbers you used into the formulas you used for credit and all sentence answers must have correct punctuation and spelling. 1.(14 pts.) In a random sample of five microwave ovens, the mean repair cost was $75 and the standard deviation was $12.50. Construct a 95% confidence interval for the mean. State in words what your confidence interval means. 2. (14 pts.) You want to estimate the mean number of sentences in a magazine advertisement. How many magazine advertisements must be included in the sample if you want to be 95% confident that the sample mean is within one sentence of the population mean? Use a standard deviation of o = 5.0 sentences.3. (14 pts.) In a survey of 1001 U.S. adults, 58% said that the safest form of transportation is by airplane. Construct a 99% confidence interval for the proportion of U.S. adults that say the safest form of transportation is by airplane. State in words what your confidence interval means. 4. You wish to estimate with 95% confidence, the proportion of registered voters who will vote for your candidate. What is the minimum sample size needed if you are to be within 3% of the population proportion? (a) (14 pts.) If no preliminary estimate is available, find the minimum sample size needed. (b) (14 pts.) Find the minimum sample size needed, using a poll that indicates that 56% of voters would vote for your candidate. (c) (2 pts.) Compare the results from (a) and (b). Explain any differences3. (14 pts.) In a survey of 1001 U.S. adults, 58% said that the safest form of transportation is by airplane. Construct a 99% confidence interval for the proportion of U.S. adults that say the safest form of transportation is by airplane. State in words what your confidence interval means. 4. You wish to estimate with 95% confidence, the proportion of registered voters who will vote for your candidate. What is the minimum sample size needed if you are to be within 3% of the population proportion? (a) (14 pts.) If no preliminary estimate is available, find the minimum sample size needed. (b) (14 pts.) Find the minimum sample size needed, using a poll that indicates that 56% of voters would vote for your candidate. (c) (2 pts.) Compare the results from (a) and (b). Explain any differences5. (14 pts.) The US Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in a rural area is $8390. You believe this value is incorrect. So you select a random sample of 900 children (age 2) and find that the mean cost is $8275 with a standard deviation of $1540. At a = 0.05, is there enough evidence to conclude that the mean cost is not equal to $8390? Use a critical value test to test the claim. State in words the conclusion of your hypothesis test. 6.(14 pts.) The company Drug Test Success provides a "1-Panel-THC" test for marijuana usage. Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10% of the test results are wrong. Use a P-value test. State in words the conclusion of your hypothesis test. Does the test appear to be good for most purposes?5. (14 pts.) The US Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in a rural area is $8390. You believe this value is incorrect. So you select a random sample of 900 children (age 2) and find that the mean cost is $8275 with a standard deviation of $1540. At a = 0.05, is there enough evidence to conclude that the mean cost is not equal to $8390? Use a critical value test to test the claim. State in words the conclusion of your hypothesis test. 6.(14 pts.) The company Drug Test Success provides a "1-Panel-THC" test for marijuana usage. Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10% of the test results are wrong. Use a P-value test. State in words the conclusion of your hypothesis test. Does the test appear to be good for most purposes