For each of the following, the mean, standard deviation, sample size, and desired confidence interval are given. Find the critical values of t^t required for a confidence interval of the mean.

a. Y̅ =14, s=32, n-12, 95% Y̅= 14, s = 32, n = 12, 95% confidence interval 

b. Y̅=-23, s=12, n=32, 95% Y̅ = -23, s = 12, n = 32, 95% confidence interval

c. Y̅=144, s=2.1, n=101, 99% Y̅ = 144, s = 2.1, n = 101, 99% confidence interval 

d. Y̅=3.21, s-1.83, n=23, 95%Y̅ = 3.21, s = 1.83, n = 23, 95% confidence interval 

e. Y̅=152, s=38, n=8, 99%Y̅ =-152, s = 38, n = 8, 99% confidence interval.