The authors of the paper “Concordance of Self- Report and Measured Height and Weight of College Students” (Journal of Nutrition, Education and Behavior [2015]: 94–98) used a paired-samples t test to reach the conclusion that male college students tend to over-report both weight and height. This conclusion was based on a sample of 634 male college students selected from eight different universities.

The sample mean difference between the reported weight and actual measured weight was 1.2 pounds and the standard deviation of the differences was 5.71 pounds. You can assume that the sample was representative of male college students.

a. Carry out a hypothesis test to determine if there is a significance difference in the mean reported weight and the mean actual weight for male college students.

b. For height, the mean difference between the reported height and actual measured height was 0.6 inches and the standard deviation of the differences was 0.8 inches. Carry out a hypothesis test to determine if there is a significance difference in the mean reported height and the mean actual height for male college students.

c. Do the conclusions reached in the hypothesis tests of Parts (a) and (b) support the given conclusion that male college students tend to over-report both height and weight? Explain.