Suppose that you are testing the hypothesis Ho: pop mean =90 Ha: pop mean not equal to 90, a sample size 31 results in a sample mean of 95 and a sample standard deviation of 1.6. answer the questions

a. what is the standard error of the mean?

b. what is the critical value of t* for a 99% confidence interval?

c. Construct a 99% confidence interval for the pop mean

d. based on the confidence interval, at mu=0.010 can you reject Ho. explain