The following data set represents the average number of minutes played for a random sample of professional basketball players in a recent season.
35.9 33.8
34.7
31.5
33.2 29.1
30.7 31.2 36.1 34.9
a) Find the sample mean and sample standard deviation.
b) Construct a 90% confidence interval for the population mean and interpret the
results. Assume the population of the data set is normally distributed.
c) Repeat part (b), assuming the population standard deviation is 5.25 minutes per
game. Interpret and compare the results.