A study was conducted in which students were asked to estimate the number of calories in a cheeseburger. One group was asked to use this after thinking about acalorie-laden cheesecake. A second group was asked to use this after thinking about an organic fruit salad. The mean number of calories estimated was 783 for the group that thought about the cheesecake and 1009 for the group that thought about the organic fruit salad. Suppose that the study was based on a sample of 20 students in eachgroup, and the standard deviation of the number of calories estimated was 127 for the people who thought about the cheesecake first and 144 for the people who thought about the organic fruit salad first. Complete parts(a) through(d).

a. State the null and alternative hypotheses if you want to determine whether the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

Let 1 represent the mean number of calories estimated by the people who thought about the cheesecake first and 2 represent the mean number of calories estimated by the people who thought about the organic fruit salad first. Choose the correct answer below.

A.

H0: 1=2

H1: 12

B.

H0: 12

H1: 1=2

C.

H0: 12

H1: 1>2

D.

H0: 12

H1: 1<2