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 h caffeine content of 48.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a = 0.06, can you reject the company's dlaim? Complete parts (a) through (e). O B. The critical value is Identify the rejection region(s). Choose the correct answer below. YB. C. Fail to reject Ho Fail to reject Ha Fail to reject Ho- Reject Ho- Reject Ho-/ Reject Ho Reject Ho (c) Find the standardized test statistic. z= -0.86 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Since z is in the rejection region, reject the null hypothesis. B. Since z is not in the rejection region, fail to reject the null hypothesis. O 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. At the 6% significance level, there is not enough evidence to V the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.
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 h caffeine content of 48.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a = 0.06, can you reject the company's dlaim? Complete parts (a) through (e). O B. The critical value is Identify the rejection region(s). Choose the correct answer below. YB. C. Fail to reject Ho Fail to reject Ha Fail to reject Ho- Reject Ho- Reject Ho-/ Reject Ho Reject Ho (c) Find the standardized test statistic. z= -0.86 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Since z is in the rejection region, reject the null hypothesis. B. Since z is not in the rejection region, fail to reject the null hypothesis. O 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. At the 6% significance level, there is not enough evidence to V the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 48.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a = 0.06, can you reject the company's claim? Complete parts (a) through (e).
O B. The critical value is
Identify the rejection region(s). Choose the correct answer below,
B.
OC.
Fail to reject Ho
Fail to reject Ho
Fail to reject Ha
Reject Ho-
Reject Ho /
Reject Ho
Reject Ho
(c) Find the standardized test statistic.
z= -0.86 (Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Since z is in the rejection region, reject the null hypothesis.
OB. Since z is not in the rejection region, fail to reject the null hypothesis.
O 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.
At the 6% significance level, there is not enough evidence to
V the company's claim that the mean caffeine content per 12-ounce bottle of cola
milligrams.
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