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A study was conducted in which students were asked to estimate the number of calories in a cheeseburger. One group was asked to do this after thinking about a calorie-laden cheesecake. A second group was asked to do this after thinking about an organic fruit salad. The mean number of calories estimated was 772 for the group that thought about the cheesecake and 1002 for the group that thought about the organic fruit salad. Suppose that the study was based on a sample of 20 students in each group, and the standard deviation of the number of calories estimated was 123 for the people who thought about the cheesecake first and 143 for the people who thought about the organic fruit salad first. (∝=0.05)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.b)What are the assumptions to conduct this test?c)Find the value for the test statistic.d)Identify the critical value and the rejection region for the test.e)State the conclusion of the test according to your answer in part c.
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