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 36.5 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At Ī± = 0.07, can you reject the company's claim? Complete parts (a) through (e).
(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 not in the rejection region, reject the null hypothesis.
B. Since z is in the rejection region, fail to reject the null hypothesis.
C. Since z is not in the rejection region, fail to reject the null hypothesis.
D. Since z is in the rejection region, reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 7% significance level, there ____ milligrams. ____ enough evidence to ____ the company's claim that the mean caffeine content per 12-ounce bottle of cola ____.