Reading Japanese books. Refer to the Reading in a Foreign Language (Apr. 2004) experiment to improve the Japanese reading comprehension levels of 14 University of Hawaii students, presented in Exercise. The data on number of books read and grade for each student are saved in the JAPANESE file.
a. Find the mean and standard deviation of the number of books read by students who earned an A grade. Find the z -score for an A student who read 40 books. Interpret the result.
b. Find the mean and standard deviation of the number of books read by students who earned either a B or a C grade. Find the z -score for a B or C student who read 40 books. Interpret the result.
c. Refer to parts a and b . Which of the two groups of students is more likely to have read 40 books? Explain.
Reading Japanese books. Refer to the Reading in a Foreign Language (Apr. 2004) experiment to improve the Japanese reading comprehension levels of 14 University of Hawaii students, Exercise. The data are saved in the JAPANESE file. The number of books read by each student and the student’s course grade are repeated in the table on the next page.
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 |
Source: Hitosugi, C. I., and Day, R. R., “Extensive Reading in Japanese.” Reading in a Foreign Language, Vol. 16, No. 1, Apr. 2004 (Table). Reprinted with permission from the National Foreign Language Resource Center, University of Hawaii.
a. Find the mean, median, and mode of the number of books read. Interpret these values.
b. What do the mean and median indicate about the skewness of the distribution of the data?
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