Question

According to a study, the average man's facial hair grows a half an inch per month. A new drug company believes that men who take its drug daily will have slower facial hair growth. Before putting its product on the market, the company plans on running a test of the effectiveness of the drug. Which null and alternative hypotheses should the company use for this study?

Answer 1

H0: μ = 0.5, Ha: μ < 0.5

Explanation:

I took the quiz and got it right

Answer 2

Null Hypothesis:

`H_(o): \mu = 0.5`

Alternate Hypothesis:

`H_(a): \mu < 0.5`

Explanation:

The claim made by the company should be that: Using the company's product will slow down the facial growth. According to the study, the average man's facial hair grows a half an inch per month. So, the claim of the company will be that using its product the average growth will be less than half an inch. Since, the claim contains the word "less than", it will be the alternate hypothesis.

The Null hypothesis, therefore, would be: The average growth is half an inch per month.

Let u represents the growth of facial hair growth per month. The Null and Alternate Hypothesis in symbolic forms would be:

Null Hypothesis:

`H_(o): \mu = 0.5`

Alternate Hypothesis:

`H_(a): \mu < 0.5`