for coaching also usually raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics Try 1 Try 2 Galin Coached 427 s00 92 529 97 2000 Uncoached 2733 sos101 527 10121 52 Give a 99.5% confidence interval for the mean gain of all students who are coached. Pint: Use the "Gain columns and do a 1-sample confidence interval). to at 99.5% conidence. Now test the hypothesis that the score gain for coached students is greater than the score gain for uncoached students. Let be the score gain for al coached students. Let be the score gain for uncoached students. (A) Give the alternative hypothesis: - (b) Give the / test statistic (c) Give the P-value: P The conclusion is OA There is not sufficient evidence to support the claim that with coaching, the mean increase in scores is greater than without coaching 8. There is sufficient evidence to support the ciaim that with coaching, the mean increase in scores is greater than without coaching

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Coaching companies claim that their courses can raise the SAT scores of high school students. But students who retake the SAT without paying
for coaching also usually raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were
uncoached. Starting with their verbal scores on the first and second tries, we have these summary statietics:
Try 1 Try 2 Gain
Coached 427 500 92 520 07 2959
Uncoached 2733 s06101 527 10121 62
Give a 99.5% confidence interval for the mean gain of all students who are coached. PHint: Use the "Gain" columns and do a 1-sampie confidence
interval).
to
at 99.5% confidence.
Now test the hypothesis that the score gain for coached students is greater than the score gain for uncoached students. Let be the score gain for a
Coached students. Let a be the score gain for uncoached students
(A) Give the alternative hypothesis: Hi -
0.
(b) Give the test statistic
(c) Give the P-value: Pa
The conclusion is
A. There is not sufficient evidence to support the claim that with coaching, the mean increase in scores is greater than without coaching
B. There is sufficient evidence to support the claim that with coaching, the mean increase in scores is greater than without coaching
Transcribed Image Text:Coaching companies claim that their courses can raise the SAT scores of high school students. But students who retake the SAT without paying for coaching also usually raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statietics: Try 1 Try 2 Gain Coached 427 500 92 520 07 2959 Uncoached 2733 s06101 527 10121 62 Give a 99.5% confidence interval for the mean gain of all students who are coached. PHint: Use the "Gain" columns and do a 1-sampie confidence interval). to at 99.5% confidence. Now test the hypothesis that the score gain for coached students is greater than the score gain for uncoached students. Let be the score gain for a Coached students. Let a be the score gain for uncoached students (A) Give the alternative hypothesis: Hi - 0. (b) Give the test statistic (c) Give the P-value: Pa The conclusion is A. There is not sufficient evidence to support the claim that with coaching, the mean increase in scores is greater than without coaching B. There is sufficient evidence to support the claim that with coaching, the mean increase in scores is greater than without coaching
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