Question: PLAYER POSITION HEIGHT (inches)

Billy Bob (B) Forward 79

Larry Davis (D) Forward 84

Robert Roberts (R Center 85

Peter Gray (G) Guard 78

Lester Paul (P) Guard 74

A. For sample size of 2, construct a table similar to the one below:

Sample Heights _

X
A,B 76.78 77.0
A,C 76.79 77.5
A,D 76.81 78.5

And so on. There are 15 possible samples of size 2.

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

C. For random sample size 2, what is the chance that the sample mean will equal the population mean? That is, determine P (dash over x = u)

D. For a random sample of size 2, determine the probability that the mean of the two people obtained will be within 2 of the population mean. Interpret the results in terms of percentages.