Reading Japanese books. 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 Reading Japanese books. 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 Recall that 14 students participated in a 10-week extensive reading program in a second-semester Japanese course. The numbers of books read by each student and the student’s course grade are repeated in the following table and saved in the JAPANESE file.a. Consider two populations of students who participate in the reading program prior to taking a second-semester Japanese course: those who earn an A grade and those who earn a B or C grade. Of interest is the difference in the mean number of books read by the two populationsof students. Identify the parameter of interest in words and in symbols. b. Form a 95% confidence interval for the target parameter identified in part a. c. Give a practical interpretation of the confidence interval you formed in part b. d. Compare the inference in part c with the inference you derived from stem-and-leaf plots in Exercise 2.33b. 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.
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 α = .10 ) to compare the distribution of the number of books read by the two populations of students.
Number of Books | Course Grade |
53 42 40 40 39 34 34 30 28 24 22 21 20 16 | A A A B A A A A B A C B B B |
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