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A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the

A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

H0 : 26
H1 : > 26

a. Is this a one- or two-tailed test?
"One-tailed"-the alternate hypothesis is greater than direction.
"Two-tailed"-the alternate hypothesis is different from direction.

b. What is the decision rule? (Round your answer to 3 decimal places.)

(Click to select)Do not rejectRejectH0, when z >

c. What is the value of the test statistic? (Round your answer to 2 decimal places.)

Value of the test statistic

d. What is your decision regarding H0?
Do not reject
Reject

There is (Click to select)sufficientinsufficientevidence to conclude that the population mean is greater than 26.

e. What is the p-value? (Round your answer to 4 decimal places.)

p-value

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