A Company That Makes Cola Drinks States That The Mean Caffeine Content Per 12 Ounce Bottle Of Cola Is 50 Milligrams You 1 (288.13 KiB) Viewed 18 times
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 47.5 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α = 0.02, can you reject the company's claim? Complete parts (a) through (e). Ha: μ = 47.5 O C. Ho: μ#50 Ha: μ = 50 E. Ho: μ = 47.5 Ha: μ#47.5 Ha:μ> 47.5 D. Ho: μ≤50 Ha: μ>50 F. Ho: μ = 50 Ha: μ#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.) A. The critical value is B. The critical values are ±
Identify the rejection region(s). Choose the correct answer below. O A. O B. Fail to reject Ho. Fail to reject Ho. Fail to reject Ho. Reject Ho Reject Ho- N N A Reject Ho. Reject Ho. 4 (c) Find the standardized test statistic. Z= (Round to two decimal places as needed.) -4 C.
(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. Z= O A. Since z is not in the rejection region, fail to reject the null hypothesis. O B. Since z is in the rejection region, reject the null hypothesis. C. Since z is in the rejection region, fail to reject the null hypothesis. O D. Since z is not in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. enough evidence to At the 2% significance level, there milligrams. the company's claim that the mean caffeine content per 12-ounce bottle of cola
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