Repeat parts (b)–(e) of Exercise 7.11 for samples of size 3.

Exercise 7.11

a. For samples of size 2, construct a table similar to Table 7.2 on page 293. Use the letter in parentheses after each player’s name to represent each player.

b. Draw a dotplot for the sampling distribution of the sample mean for samples of size 2.

c. For a random sample of size 2, what is the chance that the sample mean will equal the population mean?

d. For a random sample of size 2, obtain the probability that the sampling error made in estimating the population mean by the sample mean will be 1 inch or less; that is, determine the probability that x̅ will be within 1 inch of μ. Interpret your result in terms of percentages.