Chapter 12.1, Problem 65SR

To determine

To test each null hypothesis and write accept or reject.

Answer to Problem 65SR

Rejected.

Explanation of Solution

Given:

The given hypothesis is

  $H_0=71,H_1>71,n=180,\overline{x}=72.4,$ and $s=3.5$

Calculation:

The values are as follows.

  $H_0=71,H_1>71,n=180,\overline{x}=72.4,s=3.5$

The confidence level is calculated below.

  $\begin{array}{l}CI=\overline{x}\pm 1.96\cdot \frac{s}{\sqrt{n}}\\ =72.4\pm 1.96\cdot \frac{3.5}{\sqrt{180}}\\ =72.91\text{ or 71}.89\end{array}$

This means that the experience will produce a mean between $72.91$ and $71.89$ .

The confidence interval does not include $H_0$ , the null hypothesis will be rejected.