1.Hypothesis Testfor the Mean WhenIs Known

There was a public speaker who gave a talk about retired men and their past jobs. He claimed retired men will have on anaverage of 6different jobs in their lifetime.You know from the last CLS that of arandom sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. The population standard deviation is 2.1=.Recallthe 95% confidence interval of the mean number of jobswas 6.62<<7.78.At the 0.05 level of significance, can it be concluded thatthe average number of jobs that retired men havediffers(two tailed)from 6(the speakers claim)?

Againclearly show:

1.State the null and alternate hypotheses (identify the claim).

2.Using the confidence intervalmake a guess whether or not you willwould reject (or not reject)the claim.

3.Find the critical values, thesearethe same as what you found in the first CLS if you are using two tailed.

4.Compute the test value:State the formula and show your work.

5.Make the decision based on the testsif you will reject or not reject the claim (null hypothesis).

6.In a full sentence answer the question:Can it be concluded that the average number ofdifferentjobs that retired men have differsfrom 7? Explain.