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Exercise 57

Avg difficulty 3.0

Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see.

H0\displaystyle H_{0} :xˉ<10 hours\displaystyle:\bar{x}<10~{}hours HA\displaystyle H_{A} :xˉ>13.5 hours\displaystyle:\bar{x}>13.5~{}hours

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Inference for numerical data, End-of-Chapter Exercises, Exercise 57

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.