Question

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

Answer 1

Answer: b. H0: μ ≥ 5; Ha: μ < 5

Step-by-step 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.