A sample size n of 19 female students in MS 150 statistics spring 2005 had their body fat measured. The sample mean body fat x is 30.16 with a sample standard deviation sx of 9.54. Construct a 95% confidence interval for a population mean female body fat among females students at the national campus. Note that n ≤ 30.
|Confidence interval statistics|
|Find a tc value from a confidence level c and sample size n||tc||=TINV(1-c,n-1)|
|Calculate an error tolerance E of a mean for any n ≥ 5 using sx.||E||=tc*sx/SQRT(n)|
|Calculate a confidence interval for a population mean µ from a sample mean x and an error tolerance E||x-E≤ µ ≤x+E|