Consider a sample of size 100 drawn from a population that obeys an unknown distribution. It...

Consider a sample of size 100 drawn from a population that obeys an unknown distribution. It is known that the population-variance (of some quality characteristic) is 6. Let µ denote the population-mean. Consider the following test of a hypothesis about µ.

H₀ : µ = 70

H₁ : µ ≠ 70

(a) Calculate Z_0.005. Explain the meaning of Z_0.005. (b) If the sample mean is observed to be 71, would you reject H₀ with 99% confidence? What is the p-value of the sample mean? (c) If the sample mean is observed to be 71, and the sample size is 30 (instead of 100), would you reject H₀ with 99% confidence?

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milcah answered 8 months ago

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