Chapter 12.1, Problem 64SR

To determine

To test each null hypothesis and write accept or reject.

Answer to Problem 64SR

Accepted.

Explanation of Solution

Given:

The given hypothesis is

  $H_0=48,H_1>48,n=240,\overline{x}=48.2,$ and $s=2.2$

Calculation:

The values are as follows.

  $H_0=48,H_1>48,n=240,\overline{x}=48.2,s=2.2$

The confidence level is calculated below.

  $\begin{array}{l}CI=\overline{x}\pm 1.96\cdot \frac{s}{\sqrt{n}}\\ =48.2\pm 1.96\cdot \frac{2.2}{\sqrt{240}}\\ =48.47\text{ or 47}.92\end{array}$

This means that the experience will produce a mean between $48.47$ and $47.92$ .

The confidence interval include $H_0$ , the null hypothesis will be accepted.