SOLUTION: A sample of 35 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 5. Conduct the following test of hypothesis using

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Question 1193480: A sample of 35 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.01 significance level.
H0: μ = 54
H1: μ ≠ 54
a. Is this a one- or two-tailed test?
multiple choice 1
One-tailed test
Two-tailed test Correct

b. What is the decision rule?
multiple choice 2
Reject H0 if −2.576 < z < 2.576
Reject H0 if z < −2.576 or z > 2.576 Correct

c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)


d. What is your decision regarding H0?
multiple choice 3
Reject H0
Fail to reject H0 Correct

e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)


e-2. Interpret the p-value?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z-value is (53-54)/5/sqrt(35)=-1.18
the area between -1.18 and +1.18 is 0.7620
the area outside that is the rejection region which is 0.2380, the answer.
Because the p-value is > 0.01, fail to reject Ho.