Question

Mean Height of Men A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174.1 cm. What is the null hypothesis, and how is it denoted? What is the alternative hypothesis, and how is it denoted? What are the possible conclusions that can be made about the null hypothesis? Is it possible to conclude that "there is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm"?

Answer 1

Null hypothesis is; H0: μ = 174.1 cm

Alternative hypothesis is; Ha: μ ≠ 174.1 cm

No, it's not possible to conclude that there is enough evidence to support the claim.

Explanation:

We are told that the A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174.1 cm.

This means that the null hypothesis is;

H0: μ = 174.1 cm

Now, the alternative hypothesis would state the opposite of the null hypothesis. Thus, alternative hypothesis is;

Ha: μ ≠ 174.1 cm

The possible conclusions to make is that we can either reject the null hypothesis or fail to reject the null hypothesis.

Since we don't have value of test statistic and degree of significance, we cannot conclude that "there is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm"