Question

A randomly selected sample of college basketball players has the following heights in inches.

65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67, 61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61

Compute a 95% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately.

___ < μ < ___ (Keep 3 decimal places)

Answer 1

Answer:

Given that a 95% confidence interval for the population mean height of college basketball players is,

First compute the sample mean, sample standard deviation and t- critical value then find confidence interval.

The sample mean is,

​​​​​​

The sample standard deviation is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

d.f = n-1

=32-1

=31

The t-critical value is 2.744

95% C.I =

A 95% confidence interval for the population mean height of college basketball players is 66.88 to 64.18