Question

The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below.

Answer 1

The hypotheses of the question are:

Null Hypothesis: H₀: μ₁ = 3

Alternate Hypothesis: Hₐ: μ₁ < 3

Null and Alternative Hypothesis?

The null hypothesis (H0) is a statement that there is no effect or no difference. In this case, the null hypothesis for the magazine's test would be that the engine treatment does not protect the engine from excessive wear. The alternative hypothesis (H1) is a statement that there is an effect, a difference, or a relationship.

Thus, we can define the hypotheses as:

Null Hypothesis: H₀: μ₁ = 3

Alternate Hypothesis: Hₐ: μ₁ < 3