It is reported that the average woman's hair grows a quarter of an inch per month. A new vitamin company believes that women who take its vitamin daily will have increased hair growth. Before putting its product on the market, the company plans on running a test on the effectiveness of the vitamins. Which null and alternative hypotheses should the company use for this study

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Answer:

H0: u = 0.25 (Null)

Ha: u > 0.25 (Alternate)

Step-by-step explanation:

Hypothesis is written following the rules below:

i) 2 hypotheses are formed  in a way that complement of one is claim in the other.

ii) H₀ - the null hypothesis , is the boring hypothesis which claims that things are expected

iii) H₁ -the alternative hypothesis states a claim against null. It always contain the strict inequality signs : less than sign (<), greater than sign (>)and not equal to sign (≠).

Here, we are testing if the mean is less than 0.25 inch

We thus have :

H₀ : u = 0.25 as the null hypothesis and

H₁ : u > 0.25 as the alternative hypothesis

The null hypothesis is the average hair growth is a quarter inches per month. [tex]H_{0} = \frac{1}{4}[/tex] and the alternative hypothesis is the average hair growth is greater than a quarter inches per month.[tex]H_{1}[/tex] > [tex]\frac{1}{4}[/tex].

What is the null and alternative hypothesis?

A hypothesis is a temporary explanation for a phenomena. This explanation can either be proved or disproved by carrying out tests or

The null hypothesis states that there is no relationship between the population parameters. The alternative hypothesis states that there is a relationship between the population parameters.

To learn more about the null hypothesis, please check: https://brainly.com/question/4454077