According to an estimate, the average age at first marriage for men in the United States was 28 2 years in 2010 (Time, March 21, 2011) Suppose that currently the mean age for all U S men at the time of first marriage is 28 2 years with a standard deviation of 6 years and that this distribution is strongly skewed to the right Let x be the average age at the time of first marriage for 25 randomly selected U S men Find the mean and the standard deviation of the sampling distribution of x What if the sample size is 100 How do the shapes of the sampling distributions differ for the two sample sizes

Question: According to an estimate, the average age at first marriage for men in the United States was 28.2 years in 2010 (Time, March 21, 2011).

According to an estimate, the average age at first marriage for men in the United States was 28.2 years in 2010 (Time, March 21, 2011). Suppose that currently the mean age for all U.S. men at the time of first marriage is 28.2 years with a standard deviation of 6 years and that this is strongly skewed to the right. Let x̅ be the average age at the time of first marriage for 25 randomly selected U.S. men. Find the mean and the standard deviation of the sampling of x̅. What if the sample size is 100? How do the shapes of the sampling distributions differ for the two sample sizes?

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