Reading Japanese books. Refer to Exercise 2.187. Fourteen students participated...

Reading Japanese books. Refer to Exercise 2.187. Fourteen students participated in a 10-week extensive reading program in a second-semester Japanese language course. The number of books read by each student and the student’s grade in the course are listed in the next table.

a. Construct a stem-and-leaf display for the number of books read by the students.

b. Highlight (or circle) the leaves in the display that correspond to students who earned an A grade in the course. What inference can you make about these students?

c. Find the mean, median, and mode of the number of books read. Interpret these values. 31.6; 32; 34 and 40

d. What do the mean and median indicate about the skewness of the distribution of the data? Symmetric

e. Find the mean and standard deviation of the number of books read by students who earned an A grade. 37; 8.7

f. Find the mean and standard deviation of the number of books read by students who earned either a B or C grade. 24.5; 8.53

g. Refer to parts a and b. Which of the two groups of students has a more variable distribution for number of books read? A students

h. Find the z-score for an A student who read 40 books. Interpret the result. .345

i. Find the z-score for a B or C student who read 40 books. Interpret the result. 1.82

j. Which of the two groups of students is more likely to have read 40 books? Explain. A students

Reference: Exercise 2.187

Japanese reading levels. University of Hawaii language professors C. Hitosugi and R. Day incorporated a 10-week extensive reading program into a second-semester Japanese language course in an effort to improve students’ Japanese reading comprehension. (Reading in a Foreign Language, Apr. 2004.) The professors collected 266 books originally written for Japanese children and required their students to read at least 40 of them as part of the grade in the course. The books were categorized into reading levels (color coded for easy selection) according L02185 *