Repeat parts (b)–(e) of Exercise 7.11 for samples of size 5.

Exercise 7.11

a. Find the population mean height of the five players.

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

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

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

e. 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 ¯ x will be within 1 inch of μ. Interpret your result in terms of percentages.