188k views
4 votes
A computer manufacturer claims its computers will perform effectively for more than 5 years. Which pair of hypotheses should be used to test this claim?

a. H0: μ > 5; Ha: μ ≤ 5
b. H0: μ ≥ 5; Ha: μ < 5
c. H0: μ < 5; Ha: μ ≥ 5

User Kris Adams
by
5.5k points

1 Answer

4 votes

Answer: b. H0: μ ≥ 5; Ha: μ < 5

Explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.

While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The mean is 5 years and they claim it will perform for more than 5 years.

Therefore, for the case above;

H0: μ ≥ 5; Ha: μ < 5

Note: a null hypothesis must always include an equal to sign.

User Nahuel
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.