According to a recent study, the average woman's leg hair grows an eighth of an inch per month. A new drug company believes that women who daily take its drug will change their leg hair growth. Before putting its product on the market, the company plans on running a test of the effectiveness of the drug.
a. Which null and alternative hypotheses should the company use for this study?

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Answer:

H0: μ = 0.125, Ha: μ ≠ 0.125

Step-by-step explanation:

I got the answer correct on the quiz.

The null and alternative hypotheses should the company use for this study H₀: μ = 0.125 Hₐ: μ > 0.125.

What is Alternate Hypothesis?

An alternate Hypothesis is a statistical experiment that is contradictory to the null hypothesis.

The claim made by the company should be  

Using the company's product will slow down leg growth. According to the study, the average woman's leg hair grows an eighth of an inch per month. So, the company will claim that using its product the average growth will be less than an eighth of an inch per month. Since, the claim contains the word "less than", it will be the alternate hypothesis.

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

Let u represent the growth of hair per month.

The Null and Alternate Hypothesis in symbolic forms would be

Null Hypothesis:

[tex]H_{0} : \mu = 0.125\\[/tex],

Alternate Hypothesis:

[tex]H_{a} : \mu > 0.125[/tex]

Learn more about Alternate Hypothesis;

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