Question: Sports and Leisure The Sports Authority sells five different medicine balls with weights (in kilograms) given in the table below.
10 12 15 18 25
a. Find the population mean and the population median.
b. Suppose a random sample of size 3 is selected from this population without replacement. Find the sampling distribution of the sample mean. Find the mean, variance, and standard deviation for the sample mean.
c. Suppose a random sample of size 3 is selected from this population without replacement. Find the sampling distribution of the sample median. Find the mean, variance, and standard deviation for the sample median.
d. Compare the mean of the sample mean with the population mean. Compare the mean of the sample median with the population median.