Question

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

Answer 1

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