A biologist weighs 7 lab mice The following results were obt

A biologist weighs 7 lab mice. The following results were obtained: 31.2, 28.3, 32.8, 29.1, 24.0, 38.2, 33.4 g. Find a 99% confidence interval for the mean weight. show work

Solution

mean=31

standard deviation = 4.486647

The degree of freedom =n-1=7-1=6

Given a=1-0.99=0.01, t(0.005, df=6) =3.71

So 99% confidence interval for the mean weight is

xbar +/- t*s/vn

--> 31 +/- 3.71*4.486647/sqrt(7)

--> (24.70861, 37.29139)