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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

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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 48.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and He. Choose the correct answer below. O A. Ho: H = 48.4 O B. Ho: p# 50 Ha: H # 48.4 Ha: 1 = 50 O C. Ho: p # 48.4 O D. Ho: us 50 Ha: H = 48.4 Ha : p > 50 O E. Ho: HS 48.4 F. Ho: H = 50 Ha: H > 48.4 Ha: p # 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 B. The critical values are + 1.96 . Identify the rejection region(s). Choose the correct answer below. O A. O B. VC. Fail to reject Ho. Fail to reject Ho. Fail to reject Ho- Reject Ho- Reject Ho. Reject Ho- Reject Ho. Z (c) Find the standardized test statistic. z= - 1.53 (Round to two decimal places as needed.)

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