Coaching and SAT scores. Coaching companies claim that their courses canraise the SAT

Chapter 0, Problem 19.42

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Coaching and SAT scores. Coaching companies claim that their courses canraise the SAT scores of high school students. Of course, students who retake theSAT without paying for coaching generally raise their scores. A random sample ofstudents who took the SAT twice found 427 who were coached and 2733 whowere uncoached.19 Starting with their verbal scores on the first and second tries,we have these summary statistics: Lets first ask if students who are coached significantly increased their scores.(a) You could use the information given to carry out either a two-sample t testcomparing Try 1 with Try 2 for coached students or a matched pairs t test usingGain. Which is the correct test? Why?(b) Carry out the proper test. What do you conclude?(c) Give a 99% confidence interval for the mean gain of all students who arecoached.

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