Question: The following data represent the annual 2015 salary (in thousands of dollars) of a random sample of professional baseball players. (a) Draw a boxplot of

The following data represent the annual 2015 salary (in thousands of dollars) of a random sample of professional baseball players.

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

(a) Draw a boxplot of the data. Explain why a t-interval should not be constructed.
(b) Obtain 1000 bootstrap samples and determine the mean of each sample. Draw a histogram of the 1000 means. Comment on the shape of the distribution.
(c) Construct a 95% confidence interval for the mean salary of a professional baseball player in 2015 using the 1000 bootstrap samples from part (b)?

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

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