Highest Peak. From the Website 8000ers.com, we obtained a table of the highest mountain peaks in the world as of March 2015.

The six highest mountains are shown in the following table, with their heights in meters. Consider these six mountains a population of interest.

Mountain Height (meters)

Mount Everest 8848 Godwin Austen 8611 Kangchenjunga 8586 Lhotse 8516 Makalu 8485 Cho Oyu 8188

a. Calculate the mean height, μ, of the six mountains.

b. For samples of size 2, construct a table similar to Table 7.2 on page 332. (There are 15 possible samples of size 2.)

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, determine the probability that the mean height of the two mountains obtained will be within 500

(i.e., 500 meters) of the population mean. Interpret your result in terms of percentages.