A national business magazine reports that the mean age of retirement for women executives is 62.6
. A women’s rights organization believes that this value does not accurately depict the current trend in retirement. To test this, the group polled a simple random sample of 82
recently retired women executives and found that they had a mean age of retirement of 61.7
. Assuming the population standard deviation is 3.9
years, is there sufficient evidence to support the organization’s belief at the 0.05
level of significance?
Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below.

H0Ha: μ=62.6: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯62.6