Hypothesis Test: The 4-step process

Is it true that students tend to gain weight during their first year in college? Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman

class in terms of demographic variables such as sex and ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later. Based on Professor Levitsky's data, estimate the mean weight gain in first-semester freshmen and comment on the

"freshman 15." (Weights are in pounds. The data set of 10 cases are listed below.

• How would you obtain the data
• What do you identify the parameter?
• How to state the null and alternative hypotheses?
• What type of test that fits your situation? - (z test, one sample t test, matched pairs t test, two sample t test, or hypothesis tests for a proportion)
• Present relevant graphics and interpret results.
• Obtain the test statistic and P-value.
• Show the calculation with formulas.
• What are your conclusions can you draw from this and what can you learn?

Subject Initial.Weight Terminal.Weight 171 168 2 110 111 W 134 136 4 115 119 5 150 155 6 104 106 7 142 148 120 124 9 144 148 10 156 154