A sample of 37 observations is selected from a normal population. The sample mean is 25, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H0: μ ≤ 24
H1: μ > 24
a. Is this a one- or two-tailed test?
"One-tailed" - the alternate hypothesis is in the greater than direction.
"Two-tailed" - the alternate hypothesis is different from the direction.
b. What is the decision rule? (Round your answer to 3 decimal places.)
Do not reject Reject H0, 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 insufficient sufficient evidence to conclude that the population mean is greater than 24.
e. What is the p-value? (Round your answer to 4 decimal places.)
p-value