Answer QUESTIONS E This Question: 1 pt 11 of 26 (15 complete) This Test: 26 pts

Question

Answer QUESTIONS E

This Question: 1 pt 11 of 26 (15 complete) This Test: 26 pts possible A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 miligrams. 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 52.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.1 milligrams. At =0.10, can you reject the company's claim? Complete parts (a) through (e) Reject Ho Reject Ho Reject Hq Reject Hq -4 -4 -4 (c) Find the standardized test statistic. z= | 1.70| (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, reject the null hypothesis 0 B. Since z is not in the rejection region, fail to reject the null hypothesis ° C. Since z is not in the rejection region, reject the null hypothesis 0 D. Since z is in the rejection region, fail to reject the null hypothesis (e) Interpret the decision in the context of the original claim At the 10% significance level, there | is | enough evidence to reject | the company's claim that the mean caffeine content per 12-ounce bottle of cola | 35 milligrams Click to select your answer(s).

Explanation / Answer

Since, z is in the rejection region,

we reject the null hypothesis.

so, the claim is true. and we csn interpret it as,

At the 10% significance level, there is enough evidence to reject the company's claim that the mean caffiene content per 12-ounce bottle of cola is 50 milligrams.

OR

At the 10% significance level, there is not enough evidence to accept the company's claim that the mean caffiene content per 12-ounce bottle of cola is 50 milligrams.

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