Question

On average, do women spend more on haircuts than men? Someone took a random sample of men and women at UF and asked them how much they had spent on their last hair cut. A portion of the Minitab output appears below. What is the best interpretation of the output below? Difference = mu (F) - mu (M) T-Test of difference = 0 (vs >): T-Value = 3.82 P-Value = 0.000 DF = 68A. With a p-value equal to 0.000, there is no statistically significant evidence of a difference in average amount of money spent on hair cuts between men and women at UF.B. With a p-value equal to 0.000, there is statistically significant evidence of a difference in average amount of money spent on hair cuts between men and women at UF.C. With a p-value equal to 0.000, there is statistically significant evidence that the average amount of money spent on hair cuts for women is higher than it is for men.D. With a p-value equal to 0.000, there is statistically significant evidence that the average amount of money spent on hair cuts for men is higher than it is for women."

Answer 1

Answer:

C. With a p-value equal to 0.000, there is statistically significant evidence that the average amount of money spent on hair cuts for women is higher than it is for men.

Explanation:

The P-value, compared to the level of significance, gives us the information to decide if there is statistical evidence or not.

If the P-value is smaller than the level of siginificance, the effect is significant. In this case, with P-value=0.000, it is smaller than any level of significance and we can conclude that there is statistical evidence that there is a difference in the average amount of money spent on haircuts between women and men at UF.

In the output, we have that the t-value is positive. If the Difference is defined as: mu(Female) - mu(Male), we know that the mean spending is higher for women than for men.

Also, the alternative hypothesis is defined as "mu(Female) - mu(Male)>0".

With these, we can conclude the answer is Option C.