Determine the critical values for the following tests of the

Determine the critical values for the following tests of the population mean with an unknown population standard deviation. The analysis is based on 9 observations drawn from a normally distributed population at a 1% level of significance.

H₀: 2.9 versus H_A: < 2.9

H₀: = 16 versus H_A: 16

H₀: 48 versus H_A: > 48

H₀: = 11.4 versus H_A: 11.4

Solution

a)
Critical Value
The Value of |t | with n-1 = 8 d.f left tailed is -2.896
b)
Critical Value
The Value of |t | with n-1 = 8 d.f two tailed is 3.335, -3.335
c)
Critical Value
The Value of |t | with n-1 = 8 d.f right tailed is 2.896
d)
Critical Value
The Value of |t | with n-1 = 8 d.f two tailed is 3.335, -3.335