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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= 10meters. An experienced jumper thinks that the organizers are underestimating the variation.

Short Answer

Expert verified

Standard deviation is 10as per null hypothesis and is greater than10as per alternative hypothesis.

Step by step solution

01

introduction

Given,

For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be σ=10meters.

The null and alternative hypotheses are calculated.

02

explanation

Standard devitaion is σ=10

Standard deviation is10as per null hypothesis

⇒H0:σ=10

Standard deviation is greater than 10as per alternative hypothesis

⇒Ha:σ>10

Standard deviation is 10 as per null hypothesis and is greater than10 as per alternative hypothesis.

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