Question

The following situation calls for a significance test. State the appropriate null hypothesis
`H_0` and alternative hypothesis
`H_a`.

Be sure to define your parameter.
When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters. An experienced jumper thinks that the organizers are underestimating the variation.

Answer 1

`H_(0): \sigma = 10\\`

`H_(a): \sigma > 10\\`

Explanation:

We are given the following in the question:

The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.

This will be stated by the null hypothesis.

`H_(0): \sigma = 10\\`

It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.

This will be stated by the alternate hypothesis.

`H_(a): \sigma > 10\\`

The parameter for the given hypothesis is standard deviation,
`\sigma`.