The results of a mathematics placement exam at two different campuses of Mercy College follow: Given that the two population standard deviations are known, what is the p-value?
A)1.0
B)0.0
C)0.05
D)0.95

Question

The results of a mathematics placement exam at two different campuses of Mercy College follow:  Given that the two population standard deviations are known, what is the p-value?
A)1.0 
B)0.0 
C)0.05 
D)0.95

Quizplus · Accepted Answer

Since the population standard deviations are known, we can use a z-test. The difference in means is -0.41, and the pooled standard error is 0.042. Computing the z-score, we get z = -9.76. Since this is a two-tailed test, the p-value is essentially 0 (i.e. extremely small). Therefore, the best choice is B, indicating a p-value of 0.0.

The Results of a Mathematics Placement Exam at Two Different