A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 52.7 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2 milligrams. At α=0.03, can you reject the company's claim? Complete parts (a) through(e). A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 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 52.7 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2milligrams. At a = 0.03, can you reject the company's claim? Complete parts (a) through (e).(a) Identify Ho and Ha. Choose the correct answer below.Ο Α. Ho: μ= 52.7Ha: µ# 52.7О В. Но: нs55Haiu> 55O D. Ho:µ#52.7Ha:µ= 52.7С. Но: и$52.7Haiµ> 52.7O E. Ho: µ+55O F. Ho: H= 55Haiu#55Ha:µ = 55(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 values are ±B. The critical value isIdentify the rejection region(s). Choose the correct answer below.A.В.OC.Fail to reject Ho:Fail to reject Ho-Fail to reject Ho-Reject HoReject Ho.Reject Ho.Reject Ho--4(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.O A. Since z is not in the rejection region, reject the null hypothesis.O B. Since z is in the rejection region, reject the null hypothesis.O C. Since z is not in the rejection region, fail to reject the null hypothesis.O 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 3% significance level, thereV enough evidence toV the company's claim that the mean caffeine content per 12-ounce bottle of colamilligrams.

Name: A company that makes cola drinks states that the mean caffeine content
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffein