The Basic Practice of Statistics 7th Edition

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

Chapter 20 - Inference about a Population Mean - Chapter 20 Exercises - Page 479: 20.37b

Answer

$H_{o}: μ = 7000$ $H_{a}: μ \ne 7000$ Here we have n = 19, x̅ = 11555.16, s = 6095.015 $s_{x̅} = \frac{6095.015}{\sqrt 19} = 1398.29$ $t = \frac{11555 - 7000}{1398.29} = 3.26$ Using technology, we have p = 0.0044 at 95% confidence level. Since P < 0.05, we will reject the Null Hypothesis. Hence, there is strong evidence that the mean number of words spoken is different from 7000.

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