This is ap statistics question. can you me with this?

The confidence interval is given by



where is the sample mean and is the standard error of the mean. In turn, the standard error of the mean is where is sample size.

We have



The endpoints of the confidence interval correspond to the finite endpoints of the rejection region. That is,



for which we can solve for . We get



which is the critical value for a confidence level of .

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3