Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 8 - Hypothesis Testing - 8-4 Testing a Claim about a Mean - Page 415: 17


$H_0: \mu = 0$ $H_1: \mu>0$ Test statistic: .133 $P>.1$, so don't reject the hypothesis.

Work Step by Step

We want to see if the mean change is greater than 0, so we know $H_0: \mu = 0$ and $H_1: \mu>0$. We now use a Ti-84 calculator. To solve, go to "Stat," then "Tests," and then select "Stats." Next, plug in 0 for $\mu_0$, .4 in for $\bar{x}$, 21 for $Sx$, and 49 for n. Then, select "$>\mu_0$" and push calculate. Doing this, we find that the test statistic, t, is .133. From this, we can find that $P>.1$, so we cannot reject the hypothesis.
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