61 Most powerful American women. Refer to the Fortune

(Oct. 16, 2008) list of the 50 most powerful women in America. In Exercise 39 , you assumed that the ages (in years) of these women are approximately normally distributed.

A MINITAB printout with summary statistics for the age variable saved in the WPOWER50 file is reproduced below.

a. Use the relevant statistics on the printout to find the interquartile range IQR.

b. Locate the value of the standard deviation s on the printout.

c. Use the results from parts a and b to demonstrate that the age distribution is approximately normal.

d. Construct a relative frequency histogram for the age data. Use this graph to support your assumption of normality.

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Descriptive Statistics: AGE Mean StDev Minimum Variable N AGE 50 50.020 6.444 28.000 Q3 Maximum Q1 Median 47.000 51.000 54.000 64.000