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

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Basic Math

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

H0 : µ = 70

H1 : µ ≠ 70

(a) Calculate Z0.005. Explain the meaning ofZ0.005. (b) If the sample mean is observed to be 71,would you reject H0 with 99% confidence? What is thep-value of the sample mean? (c) If the sample mean is observed tobe 71, and the sample size is 30 (instead of 100), would you rejectH0 with 99% confidence?

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