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 15 observations drawn from a normally distributed population at a 1% level of significance. Use Table 2. Click here to find Table 2 or select the table from D2L. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.

a. Ho: 50 versus HA: > 50

b. Ho: = 9.8 versus HA: 9.8

c. Ho: 3.2 versus HA: < 3.2

d. Ho: = 15 versus HA: 15

Solution

a)
Critical Value
The Value of |t | with n-1 = 14 d.f, right tailed is 2.624

b)
Critical Value
The Value of |t | with n-1 = 14 d.f, two tailed is 2.977

c)
Critical Value
The Value of |t | with n-1 = 14 d.f, left tailed is -2.624

d)
Critical Value
The Value of |t | with n-1 = 14 d.f, two tailed is 2.977