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Exercise 9

Avg difficulty 3.0

Find the mean. You are given the following hypotheses:

H0\displaystyle H_{0} :μ=60\displaystyle:\mu=60 HA\displaystyle H_{A} :μ≠60\displaystyle:\mu\neq 60

We know that the sample standard deviation is 8 and the sample size is 20. For what sample mean would the p-value be equal to 0.05? Assume that all conditions necessary for inference are satisfied.

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Inference for numerical data, End-of-Chapter Exercises, Exercise 9

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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.