Question

Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed.

c=0.99 x=13.2 s=4.0 n=8

Answer 1

The provided sample mean is and the sample standard deviation is The size of the sample is and

Here we will find the 99% confidence interval for population mean using t distribution.

The number of degrees of freedom are and the significance level is

the critical t-value for   

Then margin of error is:

The 99% confidence interval for population mean is: