Question

Use a 0.05 significance level to test the claim that the mean birth weight of all babies born to mothers taking the vitamin supplement is equal to 3.39​ kilograms, which is the mean for the population of all male babies.

State the null and alternative hypotheses. Choose the correct answer below.

(A) H0​: μ=3.39 ​kg, Ha​: μ <3.39 kg
(B) H0​:μ≠3.39 kg, Ha​: μ<3.39 kg
(C) H0​: μ≠3.39 ​kg, Ha​: μ>3.39 kg
(D) H0​: μ=3.39 ​kg, Ha​: μ≠3.39 kg

Answer 1

Answer: (D)

`H_0:\mu=3.39\\\\ H_a:\mu\\eq3.39`

Explanation:

Given (claim) : The mean birth weight of all babies born to mothers taking the vitamin supplement is equal to 3.39​ kilograms, which is the mean for the population of all male babies.

Since null hypothesis always contains equals sign and alternative hypotheis is mostly the opposite of it.

Then the null hypothesis and alternative hypothesis is given by :-

`H_0:\mu=3.39\\\\ H_a:\mu\\eq3.39`