A national business magazine reports that the mean age of retirement for women executives is 62.0. 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 84 recently retired women executives and found that they had a mean age of retirement of 61.3. Assuming the population standard deviation is 2.4 years. Is there sufficient evidence to support the organization's belief at the 0,02 level of significance?
State the null and alternative hypotheses for the test. All in the blank below.
Hₒ: μ=62.0
Hₐ:μ=_____x62.0