The results of a study of 268 students who paid a private tutor to help them improve their scores on a standardized test are shown below. The changes in both the Mathematics and Verbal scores for these students are reproduced in the table. Complete parts a through c below. Test score improvements Mean change in score Standard deviation of score changes Math Verbal 23 10 63 46 a. Construct and interpret a 95% confidence interval for the population mean change in the Mathematics score for students who pay a private tutor. (Round to three decimal places as needed.)

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The results of a study of 268 students who paid a private tutor to help them improve their scores on a standardized test are shown below. The changes in both the Mathematics and Verbal scores for these students are reproduced
in the table. Complete parts a through c below.
Test score improvements
Mean change in score
Standard deviation of score changes
Math
Verbal
23
10
63
46
a. Construct and interpret a 95% confidence interval for the population mean change in the Mathematics score for students who pay a private tutor.
(Round to three decimal places as needed.)
Transcribed Image Text:The results of a study of 268 students who paid a private tutor to help them improve their scores on a standardized test are shown below. The changes in both the Mathematics and Verbal scores for these students are reproduced in the table. Complete parts a through c below. Test score improvements Mean change in score Standard deviation of score changes Math Verbal 23 10 63 46 a. Construct and interpret a 95% confidence interval for the population mean change in the Mathematics score for students who pay a private tutor. (Round to three decimal places as needed.)
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