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: 12

Answer

There is sufficient evidence to support that the mean weight is more than 1.8.

Work Step by Step

$H_{0}:\mu=1.8$. $H_{a}:\mu >1.8.$ Hence the value of the test statistic: $\frac{\overline{x}-\mu}{s/\sqrt n}=\frac{1.911-1.8}{1.065/\sqrt{62}}=0.821.$ The P-value is the interval of probabilities between which the value of the test-statistic lies in the table with degree of freedom=sample size-1=62-1=61, hence P is more than 0.1. If the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis. Hence:P is more than $\alpha=0.05$, because it is more than 0.1, hence we fail to reject the null hypothesis. Hence we can say that there is sufficient evidence to support that the mean weight is more than 1.8.
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