A company that makes cola drinks states that the mean caffeine content per 12-ounce bottie 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 48.6 milligrams. Assume the population normally distributed and the population standard deviation is 6.1 milligrams. At a= 0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H Choose the correct answer below. OA. Ho: H 50 H = 50 OC. Ho: = 50 H: H# 50 O B. Hg: us 50 Hu> 50 OD. Ho: u= 48.6 H ur48.6 O E. Ho: u 48.6 H 48.6 OF Ho: us48.6 H> 48.6 (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 O B. The critical value is Identify the rejection region(s). Choose the correct answer below. OA. OB. Oc. Fail to reject Ha Fail to reject Ho Fail to reject H Reject Ho Reject Ho Reject Ho Reject H

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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 48.6 milligrams. Assume the population is normally distributed and the population standard deviation is 6.1 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e).
(a) Identify Ho and Ha. Choose the correct answer below.
O A. Ho: H 50
H:u= 50
O B. Ho: us 50
H:u> 50
OC. Ho: = 50
H: u# 50
OD. Ho: u= 48.6
Hut48.6
O E. Ho: H#48.6
H:p= 48.6
OF. Ho: us48.6
H> 48.6
(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 +
O B. The critical value is.
Identify the rejection region(s). Choose the correct answer below.
OA.
O B.
c.
Fail to reject Ho-
Fail to reject Ho
Fail to reject H
Reject Ho-
Reject Ho.
Reject Ho
Reject H
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 48.6 milligrams. Assume the population is normally distributed and the population standard deviation is 6.1 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H 50 H:u= 50 O B. Ho: us 50 H:u> 50 OC. Ho: = 50 H: u# 50 OD. Ho: u= 48.6 Hut48.6 O E. Ho: H#48.6 H:p= 48.6 OF. Ho: us48.6 H> 48.6 (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 + O B. The critical value is. Identify the rejection region(s). Choose the correct answer below. OA. O B. c. Fail to reject Ho- Fail to reject Ho Fail to reject H Reject Ho- Reject Ho. Reject Ho Reject H
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 48.6 milligrams. Assume the population is nommally distributed and the population standard deviation is 6.1 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e).
O A
OB
Oc.
Fail to reject Hn
Fail to reject Ho-
Fail to reject Ho-
Reject Ho /
Reject Ho
Reject Ho
Reject Ho
14
(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.
O A. Since z is in the rejection region, reject the null hypothesis.
O B. Since z is not in the rejection region, fail to reject the null hypothesis.
OC. 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 9% significance level, there
Venough evidence to
V the company's claim that the mean caffeine content per 12-ounce bottle of cola
milligrams.
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 48.6 milligrams. Assume the population is nommally distributed and the population standard deviation is 6.1 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e). O A OB Oc. Fail to reject Hn Fail to reject Ho- Fail to reject Ho- Reject Ho / Reject Ho Reject Ho Reject Ho 14 (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. O A. Since z is in the rejection region, reject the null hypothesis. O B. Since z is not in the rejection region, fail to reject the null hypothesis. OC. 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 9% significance level, there Venough evidence to V the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.
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