b. Construct and interpret a? 95% confidence interval for the population mean ch

Question

b. Construct and interpret a? 95% confidence interval for the population mean change in the Verbal score for students who pay a private "teacher".

c. Suppose the true population mean change in score on one of the standardized tests for all students who paid a private "teacher" is 9. Which of the two? tests, Mathematics or? Verbal, is most likely to have this mean? change? Explain.

The results of a study of 255 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. 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.)

Explanation / Answer

Ans:

critical t value=tinv(0.05,254)=1.969

a)95% confdence interval for mean change in math score

=17+/-1.969*(62/sqrt(255))

=17+/-7.646

=(9.354, 24.646)

b)95% confdence interval for mean change in math score

=9+/-1.969*(45/sqrt(255))

=9+/-5.550

=(3.450, 14.550)

c)Verbal is more likely to have this true mean change because it falls within the? 95% confidence interval for Verbal

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