Chapter 9.1, Problem 5E

To determine

The appropriate null and alternate hypothesis for thermostats works is to be explained.

Answer to Problem 5E

The appropriate null and alternate hypothesis for the particular competition of ski jumpers is:

  $H_0:\text{}\sigma =3,H_a:\text{}\sigma >3$ respectively.

Explanation of Solution

Given:

  $\sigma =3°F$

For the population value, alternate hypothesis is used the following symbols:

Proportion: $p$

Mean: $\mu$

Standard Deviation: $\sigma$

Parameter: Standard Deviation of the temperature in the staner’s cabin.

The valued mentioned to claim is equal to the population value is given by the null hypothesis:

  $H_0:\text{}\sigma =3$

And the alternate hypothesis is exactly opposite to null hypothesis:

  $H_a:\text{}\sigma >3$

Conclusion:

So the hypothesis test is:

  $\begin{array}{l}{H}_0:\text{}\sigma =3\\ H_a:\text{}\sigma >3\end{array}$