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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-oun bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a=0.02, can you reject the company's cla Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. OA. Ho: HS44.4 Ha: >44.4 OC. Ho: ≤45 Ha:p>45 O E. Ho: μ#44.4 Ha: p=44.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical value is OB. The critical values are ± Identify the rejection region(s). Choose the correct answer below. OA. Fail to reject Ho- in Q OB. Fail to reject Ho. Q OB. Ho: H=45 Ha: #45 OD. Ho: H=44.4 Ha:μ#44.4 OF. Ho: #45 Ha: H=45 O C. Fail to reject Ho-

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-oun bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a=0.02, can you reject the company's cla Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. OA. Ho: HS44.4 Ha: >44.4 OC. Ho: ≤45 Ha:p>45 O E. Ho: μ#44.4 Ha: p=44.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical value is OB. The critical values are ± Identify the rejection region(s). Choose the correct answer below. OA. Fail to reject Ho- in Q OB. Fail to reject Ho. Q OB. Ho: H=45 Ha: #45 OD. Ho: H=44.4 Ha:μ#44.4 OF. Ho: #45 Ha: H=45 O C. Fail to reject Ho-

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a = 0.02, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. OA. Ho: ≤44.4 Ha: >44.4 OC. Ho: μ≤45 Ha:μ>45 O E. Ho: μ#44.4 Ha: H=44.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical value is OB. The critical values are + Identify the rejection region(s). Choose the correct answer below. OA. Fail to reject Ho- Reject Ho tHo. Reject OB. Fail to reject Ho. Q Reject Ho OB. Ho: H=45 Ha:μ#45 O D. Ho: H=44.4 Ha:μ#44.4 OF. Ho: H#45 Ha: H=45 O C. Fail to reject Ho. Reject Ho
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a = 0.02, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. OA. Ho: ≤44.4 Ha: >44.4 OC. Ho: μ≤45 Ha:μ>45 O E. Ho: μ#44.4 Ha: H=44.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical value is OB. The critical values are + Identify the rejection region(s). Choose the correct answer below. OA. Fail to reject Ho- Reject Ho tHo. Reject OB. Fail to reject Ho. Q Reject Ho OB. Ho: H=45 Ha:μ#45 O D. Ho: H=44.4 Ha:μ#44.4 OF. Ho: H#45 Ha: H=45 O C. Fail to reject Ho. Reject Ho
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a=0.02, can you reject the company's claim? Complete parts (a) through (e). OA. Fail to reject Ho- A Reject Ho Reject Ho- 0 -4 (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O B. Fail to reject Ho. Reject Ho OA. Since z is not in the rejection region, fail to reject the null hypothesis. OB. Since z is in the rejection region, fail to reject the null hypothesis. OC. Since z is not in the rejection region, reject the null hypothesis. O D. Since z is in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 2% significance level, there enough evidence to Q Q G OC. Fail to reject Ho- Reject Ho A the company's claim that the mean caffeine content per 12-ounce bottle of cola Q Q ▼milligrams.
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a=0.02, can you reject the company's claim? Complete parts (a) through (e). OA. Fail to reject Ho- A Reject Ho Reject Ho- 0 -4 (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O B. Fail to reject Ho. Reject Ho OA. Since z is not in the rejection region, fail to reject the null hypothesis. OB. Since z is in the rejection region, fail to reject the null hypothesis. OC. Since z is not in the rejection region, reject the null hypothesis. O D. Since z is in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 2% significance level, there enough evidence to Q Q G OC. Fail to reject Ho- Reject Ho A the company's claim that the mean caffeine content per 12-ounce bottle of cola Q Q ▼milligrams.
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