Answer
a. In this case, we want to support the claim, so the alternative hypothesis should represent the claim. Hence:
Null Hypothesis: $H_{o}: μ \geq 15$
Alternative Hypothesis: $H_{o}: μ \lt 15$
b. a. In this case, we want to reject the claim, so the null hypothesis should represent the claim. Hence:
Null Hypothesis: $H_{o}: μ \leq 15$
Alternative Hypothesis: $H_{o}: μ \gt 15$
Work Step by Step
As given above