Question

A dean of a business school is interested in determining whether the mean grade point average (GPA) of students is different from 3.04. The population standard deviation is 0.41. A random sample of 200 students indicates a sample mean GPA of 2.94. A test is conducted at the 0.05 level of significance to determine whether the mean grade point average (GPA) of students is different from 3.04. What is the test statistic value in this test?

Select one:

a. -3.449

b. +0.244

c. -0.244

d. +3.449

Answer 1

Ho :   µ =   3.04
Ha :   µ ╪   3.04

population std dev ,    σ =    0.41                  
Sample Size ,   n =    200.00                  
Sample Mean,    x̅ =   2.94                  
                          
'   '   '                  
                          
Standard Error , SE = σ/√n =   0.4100   / √    200   =   0.0290      
Z-test statistic= (x̅ - µ )/SE = (   2.940   -   3.04   ) /    0.0290   =   -3.449

option (a)

...............

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