Question 895735: A company that makes cola drinks states that the mean caffeine content per one 12-ounce bottle of cola is 55 milligrams. You work as a quality control manager and are asked to test this claim. During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams with standard deviation of 7.7 milligrams. At α = 0.09, can you reject the company’s claim? Complete parts (a) - (e).
a)Identify Ho, and Ha
b) Find the critical value(s). Selct 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 +/- ___
or
B) The critical value is ___
Identify the rejection regions choose the correct answer
(These are graphs)
1 Reject Ho, Fail to reject Ho, Reject Ho
2) Fail to reject Ho, Reject Ho
3) Reject Ho, Fail to reject Ho
c) Find the standardized test statistic
Z= ___
d) Decide whether to reject or fail to reject the null hypothesis
A) Since z is not in the rejection region, reject the null
B) Since z is in the rejection region reject the null
C) Since z is not in the rejection region fail to reject the null
D) Since z is in the rejection region fail to reject the null
and finally e) Interpret the decision in the context of the original claim
At the 9% significance level there (Is,Is not) enought evidence to (Reject/Support) the company's claim that the mean caffeine content per 12-ounce bottle of cola (Is less/different/equal/greater) ? milligrams
I will post a review once completed! Thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A company that makes cola drinks states that the mean caffeine content per one 12-ounce bottle of cola is 55 milligrams.
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You work as a quality control manager and are asked to test this claim.
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During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams with standard deviation of 7.7 milligrams.
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At α = 0.09, can you reject the company’s claim? Complete parts (a) - (e).
a)Identify Ho, and Ha
Ho: u = 55 (claim)
Ha: u # 55
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b) Find the critical value(s). Selct 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 +/- 1.6954___
Identify the rejection regions choose the correct answer
(These are graphs)
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Test statistic::
z(56.4) =(56.4-55)/[7.7/sqrt(30)] = 0.9959
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1 Reject Ho, Fail to reject Ho, Reject Ho
2) Fail to reject Ho, Reject Ho
3) Reject Ho, Fail to reject Ho
c) Find the standardized test statistic
Z= 0.9959___
d) Decide whether to reject or fail to reject the null hypothesis
A) Since z is not in the rejection region, reject the null
B) Since z is in the rejection region reject the null
C) Since z is not in the rejection region fail to reject the null
D) Since z is in the rejection region fail to reject the null
And: C
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e) Interpret the decision in the context of the original claim
At the 9% significance level there is not enough evidence to Reject the company's claim that the mean caffeine content per 12-ounce bottle of cola
is equal to 56.4 milligrams.
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Cheers,
Stan H.
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