Solved: Exercises 23 through 25 refer to the following setting. Do students who read

Chapter 11, Problem 24

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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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