Question 2

Part 1

Given a simple random sample of size n from a Normal population with mean and standard deviation , select the pair of hypotheses that can be tested in order to answer the following question: "is greater than 6?"

(a) ,

(b) ,

(c) ,

Part 2

Suppose that is unknown. Choose the appropriate test statistic, together with its distribution under H0 .

(a)

(b)

(c)

Part1 - a

Part1 - b

Part1 - c

Part2 - a

Part2 - b

Part2 - c