The following data represent the annual 2011 salary (in thousands of dollars) of a random sample of professional baseball players.

(a) Draw a boxplot of the data. Explain why a t-interval cannot be constructed.

(b) Construct a 95% confidence interval for the mean and median salary of a professional baseball player in 2011 using 1000 resamples.

(c) Draw a histogram of the 1000 means. Draw a histogram of the 1000 medians. Comment on the shape of the histograms. What does the shape of the histogram of the sample mean imply about the ability to use t-interval procedures?

(d) Which interval do you believe better explains the average salary? Explain.

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680 1250 21000 20000 500 414 1500 6250 1550 500 750 12000 425 2000 1000