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."

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.

topeadeniran2 topeadeniran2 · Answer 2 · 2021-11-18T23:19:30+01:00

The best interpretation of the output will be 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.

It should be noted that in statistical analysis, the P-value will be compared to the level of significance to know if there's statistical evidence.

Based on the values, 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.

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