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 - Apply Your Knowledge - Page 499: 21.10b

Answer

See below.

Work Step by Step

$t=\frac{\overline{x_1}-\overline{x_2}}{\sqrt{s_1^2/n_1+s_2^2/n_2}}=\frac{2.91-3.29}{\sqrt{0.139^2/20+0.24^2/19}}\approx-95.07$. $t$ has a very large absolute value, thus it supports the suspicion.
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