Question

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 35.7 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4 milligrams. At α=0.01, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. (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.) The critical value is The critical values are ± Identify the rejection region(s). Choose the correct answer below. (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. A. Since z is in the rejection region, fail to reject the null hypothesis. B. Since z is not in the rejection region, reject the null hypothesis. C. Since z is in the rejection region, 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 1% significance level, there (IS/IS NOT) enough evidence to (SUPPORT/REJECT) the company's claim that the mean caffeine content per 12-ounce bottle of cola (EQUAL TO, DIFFERENT FROM, IS LESS THAN, IS GREATER THAN) ___ milligrams.

          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 35.7 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4 milligrams. At α=0.01, can you reject the company's claim? Complete parts (a) through (e).

(a) Identify H0 and Ha. Choose the correct answer below.
(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.)
The critical value is ____
The critical values are ±______
Identify the rejection region(s). Choose the correct answer below.
(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.
A. Since z is in the rejection region, fail to reject the null hypothesis.
B. Since z is not in the rejection region, reject the null hypothesis.
C. Since z is in the rejection region, 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 1% significance level, there (IS/IS NOT) enough evidence to (SUPPORT/REJECT) the company's claim that the mean caffeine content per 12-ounce bottle of cola (EQUAL TO, DIFFERENT FROM, IS LESS THAN, IS GREATER THAN) _____ milligrams.

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