(a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: µ# 36.8 Ha:H= 36.8 ОВ. Но: и2 36.8 Ha:u< 36.8 OD. Ho: u#35 OC. Ho: H= 36.8 Hạ: u# 36.8 Hai u= 35 Ο Ε. Ho: μ = 35 OF. Ho: H2 35 HaiH<35 Ha: u# 35 (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 t. O B. The critical value is Identify the rejection region(s). Choose the correct answer below. O A. OB. Oc. Fail to reject Ho- Fail to reject Ho- Fail to reject Ho- Reject Ho Reject Ho./ Reject Ho Reject Ho-

MATLAB: An Introduction with Applications
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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 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 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.7 milligrams. At a = 0.05, 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: µ+ 36.8
B. Ho. μ> 36.8
Hạ: H= 36.8
Ha: H< 36.8
O D. Ho: H#35
Ha: H= 35
O C. Ho: μ= 36.8
%3D
Ha: µ# 36.8
Ο Ε. H0 : μ = 35
O F Ho μ3 35
Ha: H#35
Ha:µ<35
(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.)
A. The critical values are ±
Question Viewer
B. The critical value is
Identify the rejection region(s). Choose the correct answer below.
A.
ОВ.
C.
Fail to reject Ho-
Fail to reject Ho-
Fail to reject Ho-
Reject Ho.
Reject Ho.
Reject Ho.
Reject Ho.
-4
4
-4
4
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 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 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.7 milligrams. At a = 0.05, 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: µ+ 36.8 B. Ho. μ> 36.8 Hạ: H= 36.8 Ha: H< 36.8 O D. Ho: H#35 Ha: H= 35 O C. Ho: μ= 36.8 %3D Ha: µ# 36.8 Ο Ε. H0 : μ = 35 O F Ho μ3 35 Ha: H#35 Ha:µ<35 (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.) A. The critical values are ± Question Viewer B. The critical value is Identify the rejection region(s). Choose the correct answer below. A. ОВ. C. Fail to reject Ho- Fail to reject Ho- Fail to reject Ho- Reject Ho. Reject Ho. Reject Ho. Reject Ho. -4 4 -4 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.
A. Since z is in the rejection region, fail to reject the null hypothesis.
B. Since z is not in the rejection region, fail to reject the null hypothesis.
C. Since z is not in the rejection region, reject the null hypothesis.
D. Since z is in the rejection region, 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.
Transcribed Image Text:(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. A. Since z is in the rejection region, fail to reject the null hypothesis. B. Since z is not in the rejection region, fail to reject the null hypothesis. C. Since z is not in the rejection region, reject the null hypothesis. D. Since z is in the rejection region, 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.
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