29. Marriage. In 1960, census results indicated that the

Chapter 23, Problem 29

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29. Marriage. In 1960, census results indicated that the age atwhich American men first married had a mean of 23.3 years.It is widely suspected that young people today are waitinglonger to get married. We want to find out if the mean ageof first marriage has increased during the past 40 years.a) Write appropriate hypotheses.b) We plan to test our hypothesis by selecting a randomsample of 40 men who married for the first time lastyear. Do you think the necessary assumptions for inferenceare satisfied? Explain.c) Describe the approximate sampling distributionmodel for the mean age in such samples.d) The men in our sample married at an average age of24.2 years, with a standard deviation of 5.3 years.Whats the P-value for this result?e) Explain (in context) what this P-value means.f) Whats your conclusion?

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