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A local third grade teacher asked her students to participate in the summer reading program at...

A local third grade teacher asked her students to participate in the summer reading program at the library. She kept track of the students who participated in the summer program during the next school year. The table below shows the number of books read during the summer and the grade they earned in fourth grade Language Arts.

# Books Grade # Books Grade
57 A 34 C
56 B 29 B
52 A 26 B
46 A 25 B
38 A 18 B
36 B 15 C
34 C 15 A


Consider two populations of students who participated in the summer reading program between third and fourth grade: those who earned an A in fourth grade Language Arts and those who earned a B or C. The teacher is interested to know if there is a difference in the mean number of books read by the two populations of students.

Use R to form a 95% confidence interval for μ1−μ2, where μ1 is the mean number of books for all students who earned an A and μ2 is the mean number of books for all students who earned a B or C.

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