Answer: a
a. H0 : μ₁ - μ₂ = 0
Ha : μ₁ - μ₂ < 0
Corrected question;
For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college student records the number of minutes each person exercises in a given week. The college student believes that the mean number of minutes per week is lower for men than for women.
If μ1 represents the mean number of minutes per week for men and μ2 represents the mean number of minutes per week for women, which of the following is the appropriate pair of hypotheses in this case?
Group of answer choices;
Shown in the attached image.
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.
Therefore, for the case above;
The null hypothesis is that the mean number of minutes men exercise per week is equal to the mean number of minutes women exercise per week
H0 : μ₁ - μ₂ = 0
The alternative hypothesis is that the mean number of minutes men exercise per week is less than the mean number of minutes women exercise per week
Ha : μ₁ - μ₂ < 0