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 51.8 miligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams At a=005, can you reject the company's claim? Complete parts (a) through (e). (2) Idantif H-and H Choose the correct answer helow

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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
51.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a= 0.05, can you reject the company's claim? Complete parts (a) through (e).
(a) Identify Ho and H. Choose the correct answer below.
Ο Β. Ho μ 50
O A. Ho Ht51.8
Ha H=51.8
Ha µ<50
O C. Ho H251.8
Ha H<51.8
O D. Ho: H= 50
H H450
O E. Ho H 50
Ha H= 50
O F. Ho H=51.8
Ha H#51.8
(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 +
Identify the rejection region(s). Choose the correct answer below.
В.
OC.
O A.
Fail to reject Ho-
Fail to reject Ho-
reject Ho-
Reject Hn.
Reject Hn-
Reject Hn.
Reject Hn/
Click to select your answer(s).
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4/23/2021
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EGO
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Transcribed Image Text:Question Help ▼ 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 51.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a= 0.05, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. Ο Β. Ho μ 50 O A. Ho Ht51.8 Ha H=51.8 Ha µ<50 O C. Ho H251.8 Ha H<51.8 O D. Ho: H= 50 H H450 O E. Ho H 50 Ha H= 50 O F. Ho H=51.8 Ha H#51.8 (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 + Identify the rejection region(s). Choose the correct answer below. В. OC. O A. Fail to reject Ho- Fail to reject Ho- reject Ho- Reject Hn. Reject Hn- Reject Hn. Reject Hn/ Click to select your answer(s). 1:01 AM P Type here to search 4/23/2021 pause break Sysrq delete home paup EGO EGO backspace 80 Y. U PI enter F GI K L
Question Help ▼
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
51.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e).
O A.
O B.
OC.
Fail to reject Ho-
Fail to reject Ho
Fail to reject Ho-
Reject Ho-
Reject Ho.
Reject Ho.
Reject Ho-
Z.
(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 in the rejection region, reject the null hypothesis.
B. Since z is not in the rejection region, 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, fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 5% significance level, there
enough evidence to
the company's claim that the mean caffeine content per 12-ounce bottle of cola
milligrams.
Click to select your answer(s).
?
P Type here to search
1:02 AM
4/23/2021
12
pri sc
Sysrq
delete
nsert
break
home
pgup
15
080
Y
PI
D
H.
enter
CO
Transcribed Image Text:Question Help ▼ 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 51.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). O A. O B. OC. Fail to reject Ho- Fail to reject Ho Fail to reject Ho- Reject Ho- Reject Ho. Reject Ho. Reject Ho- Z. (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 in the rejection region, reject the null hypothesis. B. Since z is not in the rejection region, 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, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, there enough evidence to the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams. Click to select your answer(s). ? P Type here to search 1:02 AM 4/23/2021 12 pri sc Sysrq delete nsert break home pgup 15 080 Y PI D H. enter CO
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