Give the formula for the appropriate test statistic if any f

Give the formula for the appropriate test statistic, if any, for the following hypothesis testing situations.

If the situation is not suitable for a hypothesis test, simply state that fact.
A. H_o :m = m , n = 20, s = 45, population normally distributed
B. H_o :m = m , n = 80, s = 29, population not normally distributed
C. H_o :m = m , n = 36, s = 25, population not normally distributed
D. H_o :m = m , n = 15, s = 36, population not normally distributed
E. H_o :m = m , n = 10, s = 16, population normally distributed
F. H_o :m = m , n = 60, s = 81, population normally distributed
G. H_o :m = m , n = 200, s = 25, population not normally distributed

Solution

A) Student t test as n <30

B) Normal z test as n>30

c) Normal Z test as n >30

D) Student t test as sample size < 30 and population std dev not known

E) Student t test

F) Either t or Z test

G) Normal test.