Chapter 9, Problem 1CRE

a.

To determine

To find: The appropriate null and alternative hypotheses.

Answer to Problem 1CRE

  $\begin{array}{l}{H}_0:\mu =64.2\\ H_a:\mu \ne 64.2\end{array}$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Population mean }\left(\mu \right)=64.2\\ \text{Sample mean}\left(\overline{x}\right)=63.1\\ \text{Sample size}\left(n\right)=48\end{array}$

Calculation:

Consider, $\mu$ be the average height of 18-year-old American women.

Using the information, the null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:\mu =64.2\\ H_a:\mu \ne 64.2\end{array}$

b.

To determine

To find: The appropriate null and alternative hypotheses.

Answer to Problem 1CRE

  $\begin{array}{l}{H}_0:p=0.75\\ H_a:p<0.75\end{array}$

Explanation of Solution

Given:

  $\text{Population proportion}\left(p\right)=0.75$

Calculation:

Here, p be the population proportion of the students that completed their homework last night.

Using the information, the null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:p=0.75\\ H_a:p<0.75\end{array}$