The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 21 - Comparing Two Means - Chapter 21 Exercises - Page 514: 21.50

Answer

We first subtract before columns from after columns in both groups. Then we do a two-sample t-test. We can get the degrees of freedom of 13.919, the t value of 1.9136 and a p-value of 0.07647. Therefore, the evidence is not strong enough to conclude that the treatment brought about a greater improvement in math scores than the neutral message. A 90 confidence interval of the mean difference is (0.2494, 6.0506).

Work Step by Step

We first subtract before columns from after columns in both groups. Then we do a two-sample t-test. We can get the degrees of freedom of 13.919, the t value of 1.9136 and a p-value of 0.07647. Therefore, the evidence is not strong enough to conclude that the treatment brought about a greater improvement in math scores than the neutral message. A 90 confidence interval of the mean difference is (0.2494, 6.0506).
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