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?
