[EX02-189] The top 2004 Nationwide Tour money leaders, together with their total earnings, are listed here:

Player Money ($) Player Money ($)

Jimmy Walker 371,346 D. A. Points 332,815

••• Remainder of data on Student’s Suite CD-ROM Source: PGA Tour, Inc.

a. Calculate the mean and standard deviation of the earnings of the Nike Tour golf players.

b. Find the values of ¯ x  s and ¯ x  s.

c. How many of the 50 pieces of data have values between ¯ x  s and ¯ x  s? What percentage of the sample is this?

d. Find the values of ¯ x  2s and ¯ x  2s.

e. How many of the 50 pieces of data have values between ¯ x  2s and ¯ x  2s? What percentage of the sample is this?

f. Find the values of ¯ x  3s and ¯ x  3s.

g. What percentage of the sample has values between

¯ x  3s and ¯ x  3s?

h. Compare the answers found in parts e and g to the results predicted by Chebyshev’s Theorem.

i. Compare the answers found in parts

c, e, and g to the results predicted by the empirical rule.

Does the result suggest an approximately normal distribution?

j. Verify your answer to part i using one of the sets of technology instructions.

k. Does your answer to part j make sense? Explain.