Chapter 11, Problem 26SGR

To determine

To find: The null and alternative hypotheses for given statement and hence identify the statement that represents the claim.

Answer to Problem 26SGR

The alternative hypothesis is $\mu >35$ ,the null hypothesis is $\mu \le 35$ (claim).

Explanation of Solution

Given:

A member of a swim team practices no more than $35$ minutes on Mondays.

Calculation:

More than $35$ minutes: $\mu \le 35$

No more than $35$ minutes: $\mu >35$

The claim is $\mu \le 35$ and it is the null hypothesis because it includes equality. The alternative hypothesis is $\mu >35$ , which is the complement of $\mu \le 35$ .

Therefore,

  $\begin{array}{l}{H}_0\to \mu \le 35\left(\text{claim}\right)\\ H_a\to \mu >35\end{array}$