Refer to the Reading in a Foreign Language (Apr. 2004) experiment to improve the Japanese reading comprehension
Question:
Refer to the Reading in a Foreign Language (Apr. 2004) experiment to improve the Japanese reading comprehension levels of University of Hawaii students, presented in Exercise. Recall that 14 students participated in a 10-week extensive reading program in a second-semester Japanese course. The number of books read by each student and the student's course grade are repeated in the accompanying table and saved in the JAPANESE file. Consider a comparison of the distributions of number of books read by students who earn an "A" grade and those who earn a "B" or "C" grade.
Number of Books Course Grade
53.................. A
42.................. A
40 .................. A
40.................. B
39.................. A
34.................. A
34.................. A
30.................. A
28.................. B
24 .................. A
22.................. C
21.................. B
20 .................. B
16.................. B
a. Rank all 14 observations from smallest to largest, and assign ranks from 1 to 14.
b. Sum the ranks of the observations for students with an "A" grade.
c. Sum the ranks of the observations for students with either a "B" or "C" grade.
d. Compute the Wilcoxon rank sum statistic.
e. Carry out a nonparametric test (at a = .10) to com pare the distribution of the number of books read by the two populations of students.
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