The results of a mathematics placement exam at two different campuses of Mercy College follow: What is the computed value of the test statistic?
A)9.30
B)2.60
C)3.37
D)3.40

Question

The results of a mathematics placement exam at two different campuses of Mercy College follow:  What is the computed value of the test statistic?
A)9.30 
B)2.60 
C)3.37 
D)3.40

Quizplus · Accepted Answer

To compute the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard error)

For Campus A: 
sample mean = 74 
population mean = 68 
standard deviation = 8 
sample size = 36

standard error = 8 / sqrt(36) = 1.33

test statistic = (74 - 68) / 1.33 = 4.51

For Campus B: 
sample mean = 82 
population mean = 74 
standard deviation = 10 
sample size = 64

standard error = 10 / sqrt(64) = 1.25

test statistic = (82 - 74) / 1.25 = 6.40

Therefore, the computed value of the test statistic is the larger of the two, which is 6.40. The only answer choice that matches this value is C.

The Results of a Mathematics Placement Exam at Two Different