Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information.
-Refer to Exhibit 10-3. The p-value for the difference between the two population means is
A).0013
B).0026
C).4987
D).9987

Question

Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. 
-Refer to Exhibit 10-3. The p-value for the difference between the two population means is
A).0013 
B).0026 
C).4987 
D).9987

Quizplus · Accepted Answer

The p-value for the difference between the two populations means is given in the table as 0.0052. Since this is a two-tailed test, we would need to double this value to obtain the total area in the tails. This gives a p-value of 0.0104. However, since the alternative hypothesis is that there is a difference between the two population means (i.e., it is a two-sided test), we would divide this value by two to obtain the p-value for a one-sided test. This gives a final p-value of 0.0052. Therefore, the closest option to this is B) 0.0026.

Exhibit 10-3 A Statistics Teacher Wants to See If There Is Any