Question

An experiment was conducted to test the effect of a new dietary supplement for weight loss. Ten men and 10 women were given the supplement daily for a month, then the amount of weight each person lost was determined. A significance test was conducted at the ? = 0.05 level for the difference in the means of the number of pounds lost between men and women. The test resulted in t = 2.178 and p = 0.03. If the alternative hypothesis in question was Ha: ?m ? ?w ? 0, where ?m equals the mean number of pounds lost by men and ?w equals the mean number of pounds lost by women, what conclusion can be drawn?

A. There is not a significant difference in mean weight loss between men and women.

B. There is sufficient evidence that there is a difference in mean weight loss between men and women.

C. There is sufficient evidence that, on average, men lose more weight than women.

D. The proportion of men who lost weight is greater than the proportion of women.

E. There is insufficient evidence that the proportion of men and women who lost weight is different.

Answer 1

Ans:

Given that

Test statistic=2.178

p-value=0.03

Significance level=0.05

As,p-value<0.05,we reject null hypothesis.

There is sufficient evidence that there is a difference in mean weight loss between men and women.

Option B is correct.