# Question

The table provides the ages of all 50 heads of households in a small Nova Scotian fishing village. The distribution of these ages is characterized by μ = 47.18 and σ = 14.74.

a. Each student or the class should construct a graphical display (stem-and-leaf plot, dot plot, or histogram) of the population distribution of the ages.

b. Each student should select nine random numbers between 01 and 50, with replacement. Using these numbers, each student should sample nine heads of households and find their sample mean age. Collect all sample mean ages. Using technology, construct a graph (using the same graphical display as in part a) of the simulated sampling distribution of the -values for all the student samples. Compare it to the distribution in part a.

c. Find the mean of the -values in part b. How does it compare to the value you would expect in a long run of repeated samples of size 9?

d. Find the standard deviation of the -values in part b. How does it compare to the value you would expect in a long run of repeated samples of size 9?

a. Each student or the class should construct a graphical display (stem-and-leaf plot, dot plot, or histogram) of the population distribution of the ages.

b. Each student should select nine random numbers between 01 and 50, with replacement. Using these numbers, each student should sample nine heads of households and find their sample mean age. Collect all sample mean ages. Using technology, construct a graph (using the same graphical display as in part a) of the simulated sampling distribution of the -values for all the student samples. Compare it to the distribution in part a.

c. Find the mean of the -values in part b. How does it compare to the value you would expect in a long run of repeated samples of size 9?

d. Find the standard deviation of the -values in part b. How does it compare to the value you would expect in a long run of repeated samples of size 9?

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