sign a. You could use the information on the Coached line to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. 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 are coached.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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21.32 Coaching and SAT Scores. Coaching companies claim that
their courses can raise the SAT scores of high school students. Of
course, students who retake the SAT without paying for coaching
generally raise their scores, too. A random sample of students
who took the SAT twice found 427 who were coached and 2733
who were uncoached.20 Looking at their Math scores on the first
and second tries, we have these summary statistics:
Coached
Uncoached
n
427
x
521
Try 1
S
100
T
561
Try 2
2733 505 101 527
S
100
101
40
Gain
58
The summary statistics for Gain are based on the changes in the
scores of the individual students. Let's first ask if students who
are coached increased their scores significantly.
a. You could use the information on the Coached line to
carry out either a two-sample t test comparing Try 1 with
Try 2 for coached students or a matched pairs t test using
Gain. 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 are coached.
Transcribed Image Text:21.32 Coaching and SAT Scores. Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores, too. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached.20 Looking at their Math scores on the first and second tries, we have these summary statistics: Coached Uncoached n 427 x 521 Try 1 S 100 T 561 Try 2 2733 505 101 527 S 100 101 40 Gain 58 The summary statistics for Gain are based on the changes in the scores of the individual students. Let's first ask if students who are coached increased their scores significantly. a. You could use the information on the Coached line to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. 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 are coached.
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