The winner of the 2008-2009 National Basketball Association (NBA) championship was the Los Angeles Lakers. One starting lineup for that team is shown in the following table.

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 281. 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.

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Player Position Height (in.) Trevor Ariza (T) Forward Kobe Bryant (K)Guard Andrew Bynum(A) Center Derek Fisher (D) Guard Pau Gasol(P) 80 78 84 73 Forward8