5. In 1960, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased during the past 43 years. a. Write out the appropriate hypotheses. b. We plan to test our hypothesis by selecting a random sample of 64 men who married for the first time last year. Do you think the necessary assumptions for inference (such as for testing of hypothesis and for constructing confidence interval) are satisfied? Explain. C. Write down the approximate sampling distribution of the sample statistic in your answer sheet by replacing the symbols below by numbers that you know from the information given. X~ Normal (μ, o/√n)