Solved: Exercises 23 through 25 refer to the following setting. Do students who read
Chapter 11, Problem 24(choose chapter or problem)
Exercises 23 through 25 refer to the following setting. Do students who read more books for pleasure tend to earn higher grades in English? The boxplots below show data from a simple random sample of 79 students at a large high school. Students were classified as light readers if they read fewer than 3 books for pleasure per year. Otherwise, they were classified as heavy readers. Each students average English grade for the previous two marking periods was converted to a GPA scale where A+ = 4.3, A = 4.0, A =3.7, B + =3.3, and so on.Reading and grades (10.2) Summary statistics forthe two groups from Minitab are provided below.Type of reader N Mean StDev SE MeanHeavy 47 3.640 0.324 0.047Light 32 3.356 0.380 0.067(a) Explain why it is acceptable to use two-sample t proceduresin this setting.(b) Construct and interpret a 95% confidence intervalfor the difference in the mean English grade for lightand heavy readers.(c) Does the interval in part (b) provide convincingevidence that reading more causes a difference instudents English grades? Justify your answer.
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