10.2: For each of the following pairs of null and alternative hypothesis, determine whether the pair would be appropriate for a hypothesis test. If a pair is deemed inappropriate, explain why.

a) Ho: µ ≥ 10, H : µ < 10 Answer: Appropriate

b) Ho: µ = 30, H : µ ≠ 30 Answer: Appropriate

c) Ho: µ > 90, H : µ ≤ 90 Answer: Appropriate

d) Ho: µ ≤ 75, H : µ ≤ 85 Answer: Inappropriate the alternative to the null hypothesis therefore in this case the alternative hypothesis must be: H :µ > 85

e) Ho: x (with a line above it) ≥ 15, H : x (with a line above it) < 15 Answer: Appropriate

f) ) Ho: x (with a line above it)= 58, H : x (with a line above it) ≠ 58 Answer: Appropriate