NBA Champs. The winner of the 2012–20 13 National Basketball Association (NBA) championship was the Miami Heat. One possible starting lineup for that team is as follows.
Player Position Height (in.)
Chris Bosh (B) Center 83 Dwyane Wade (W) Guard 76 LeBron James (J) Forward 80 Mario Chalmers (C) Guard 74 Udonis Haslem (H) Forward 80

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

b. For samples of size 2, construct a table similar to Table 7.2 on page 332. 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.