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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 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 33.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H = 33.9 O B. Ho: HS 33.9 Ha: H # 33.9 Ha: H > 33.9 O C. Ho: H = 35 O D. Ho: US 35 Ha: H # 35 Ha: H > 35 O E. Ho: H # 33.9 OF. Ho: H# 35 Ha: H = 33.9 Ha: H = 35 (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.) A. The critical values are + 1.70. O B. The critical value is. Identify the rejection region(s). Choose the correct answer below. O A. O B. O C. Fail to reject Ho Fail to reject Ho. Q Fail to reject Ho. Reject Ho- Reject Ho. Reject Ho. Reject Ho (c) Find the standardized test statistic. z= -0.93 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Since z is in the rejection region, reject the null hypothesis. O B. Since z is not in the rejection region, reject the null hypothesis. O C. Since z is in the rejection region, fail to reject the null hypothesis. D. Since z is not 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 is enough evidence to support the company's claim that the mean caffeine content per 12-ounce bottle of cola is different from 35 milligrams
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