The formula used to compute a confidence interval for the me

The formula used to compute a confidence interval for the mean of a normal population when n is small is the following.

What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round the answers to two decimal places.)

Can you please show all the steps

(a) 90% confidence, n = 17


(b) 90% confidence, n = 12


(c) 99% confidence, n = 24


(d) 90% confidence, n = 24


(e) 80% confidence, n = 13


(f) 95% confidence, n = 9

Solution

What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round the answers to two decimal places.)

Can you please show all the steps

t=1.75
Excel command to get t valueT.INV.2T(1-0.90, 16)

(b) 90% confidence, n = 12

DF=12-1 =11

t=1.80
Excel command to get t valueT.INV.2T(1-0.90, 11)

(c) 99% confidence, n = 24

DF=24-1 =23

t=2.81
Excel command to get t valueT.INV.2T(1-0.99, 23)

(d) 90% confidence, n = 24

DF=24-1 =23

t=1.71
Excel command to get t valueT.INV.2T(1-0.90, 23)

(e) 80% confidence, n = 13

DF=13-1 =12

t=1.36
Excel command to get t valueT.INV.2T(1-0.80, 12)

(f) 95% confidence, n = 9

DF=9-1=8

t=2.31

Excel command to get t value    T.INV.2T(1-0.95, 8)