Chapter 9, Problem 7PT

To determine

To find: The conclusion that could be drawn using the provided confidence interval.

Answer to Problem 7PT

The null hypothesis is not rejected at $\alpha =0.05$ .

Explanation of Solution

Given:

The null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:\mu =2\\ H_a:\mu \ne 2\end{array}$

The confidence interval is (1.7, 3.5)

Calculation:

Here, 2 does lie in the computed confidence interval. Thus, the null hypothesis that states that $\mu =2$ would not be rejected at 5% significance level.

Hence, the correct option is (e).