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 54.1 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. OA. Ho: = 54.1 H 54.1 OC. Ho: us 55 Hiu> 55 OB. Ho: p54.1 H= 54.1 OD. Ho: us 54.1 Hu> 54.1 OF. Ho: u55 OE Ho: 55 Hu55 H 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 value is O B. The critical values are t Fail to reject Ho- Oc. Fail to reject Ho Fail to reject H Reject Ho Q Reject Ho/ Reject Ho Reject Ho- (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. B. Since z is not in the rejection region, fail to reject the null hypothesis. C. Since z is in the rejection region, fail to reject the null hypothesis. 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 8% 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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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 54.1 milligrams. Assume the population is normally distributed and the
population standard deviation is 7.3 milligrams. At a = 0.08, 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=54.1
OB. Ho: p54.1
H:u#54.1
H= 54.1
OC. Ho: us 55
Hiu> 55
O D. Ho: us 54.1
H u> 54.1
OF. Ho: 55
OE Ho: 55
HH55
H 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 value is
O B. The critical values are t
Fail to reject Ho-
Oc.
Fail to reject Ho-
Fail to reject Ho-
Reject Ho
Reject Ho/
Reject Ho
Reject Ho-
(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.
B. Since z is not in the rejection region, fail to reject the null hypothesis.
C. Since z is in the rejection region, fail to reject the null hypothesis.
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 8% significance level, there
V enough 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 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 54.1 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At a = 0.08, 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=54.1 OB. Ho: p54.1 H:u#54.1 H= 54.1 OC. Ho: us 55 Hiu> 55 O D. Ho: us 54.1 H u> 54.1 OF. Ho: 55 OE Ho: 55 HH55 H 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 value is O B. The critical values are t Fail to reject Ho- Oc. Fail to reject Ho- Fail to reject Ho- Reject Ho Reject Ho/ Reject Ho Reject Ho- (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. B. Since z is not in the rejection region, fail to reject the null hypothesis. C. Since z is in the rejection region, fail to reject the null hypothesis. 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 8% significance level, there V enough evidence to V the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.
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