A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of...

 

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 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 48.5 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a =0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. O B. Ho: u# 50 O A. Ho: u= 48.5 Haiu#48.5 H:u= 50 OC. Ho: H= 50 Haiu# 50 O E. Ho: us48.5 Haiu> 48.5 O D. Ho: u#48.5 H:u= 48.5 OF. Ho: us 50 H:u> 50 (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.) O A. The critical value is O B. The critical values are t Identify the rejection region(s). Choose the correct answer below. O A. O B. Oc. Fail to reject Ho Fail to reject Ho Fail to reject Ho- Reject Ho. Reject Ho/ Reject Ho. Reject Ho (c) Find the standardized test statistic. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Since z is not in the rejection region, reject the null hypothesis. O B. Since z is in the rejection region, reject the null hypothesis. OC. Since z is not in the rejection region, fail to reject the null hypothesis. O D. Since z is in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 9% significance level, there enough evidence to v the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams. A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 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 48.5 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a =0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. O B. Ho: u# 50 O A. Ho: u= 48.5 Haiu#48.5 H:u= 50 OC. Ho: H= 50 Haiu# 50 O E. Ho: us48.5 Haiu> 48.5 O D. Ho: u#48.5 H:u= 48.5 OF. Ho: us 50 H:u> 50 (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.) O A. The critical value is O B. The critical values are t Identify the rejection region(s). Choose the correct answer below. O A. O B. Oc. Fail to reject Ho Fail to reject Ho Fail to reject Ho- Reject Ho. Reject Ho/ Reject Ho. Reject Ho (c) Find the standardized test statistic. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Since z is not in the rejection region, reject the null hypothesis. O B. Since z is in the rejection region, reject the null hypothesis. OC. Since z is not in the rejection region, fail to reject the null hypothesis. O D. Since z is in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 9% significance level, there enough evidence to v the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.