A student at a Midwest college is interested in whether Psychology majors spend more or less time studying than English majors. She randomly selects 8 Psychology majors and 8 English majors and determines their weekly studying time. The following are the scores. Note one person dropped out of the study. An analysis is being conducted using the Mann-Whitney U test. Using a = 0.05 2 tail , what do you conclude?
A) reject H 0 ; there is a significant difference in the amount of time Psychology and English majors study
B) reject H 0 ; there is no difference in the amount of time Psychology and English majors study
C) accept H 0 ; there is no difference in the amount of time Psychology and English majors study
D) retain H 0 ; there is no difference in the amount of time Psychology and English majors study

Question

A student at a Midwest college is interested in whether Psychology majors spend more or less time studying than English majors. She randomly selects 8 Psychology majors and 8 English majors and determines their weekly studying time. The following are the scores. Note one person dropped out of the study.  An analysis is being conducted using the Mann-Whitney U test. Using a = 0.05 2 tail , what do you conclude?
A) reject H 0 ; there is a significant difference in the amount of time Psychology and English majors study 
B) reject H 0 ; there is no difference in the amount of time Psychology and English majors study 
C) accept H 0 ; there is no difference in the amount of time Psychology and English majors study 
D) retain H 0 ; there is no difference in the amount of time Psychology and English majors study

Quizplus · Accepted Answer

The Mann-Whitney U test is used to compare the medians of two independent groups. The null hypothesis is that there is no difference between the medians of the two groups. The alternative hypothesis is that there is a difference between the medians of the two groups. With an alpha level of 0.05 and a two-tailed test, the critical values for U are 4 and 20. The calculated U value is 23.5, which falls between the critical values. Therefore, we reject the null hypothesis and conclude that there is a significant difference in the amount of time Psychology and English majors study.

A Student at a Midwest College Is Interested in Whether