Question

In: Statistics and Probability

A sample of 39 observations is selected from a normal population. The sample mean is 28,...

A sample of 39 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 4. Conduct the following test of hypothesis using the .05 significance level.

  
H0 : μ ≤ 26
H1 : μ > 26
(a) Is this a one- or two-tailed test?
"Two-tailed"-the alternate hypothesis is different from direction.
"One-tailed"-the alternate hypothesis is greater than direction.
(b) What is the decision rule? (Round your answer to 2 decimal places.)
  (Click to select)Do not rejectReject 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 (Click to select)sufficientinsufficient evidence 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     

Solutions

Expert Solution

a)

One-tailed"-the alternate hypothesis is greater than direction

b)


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