QUESTION

In a study of freshman weight gain, the measured weights of 5 randomly selected college students in September and April of their freshman year are...

In a study of freshman weight gain, the measured weights of 5 randomly selected college students in September and April of their freshman year are shown in the following table. Weight (kg) Student 1, 2, 3, 4, 5 September 147, 130, 145, 158, 154 April 150, 125, 150, 160, 156

Is there evidence to suggest that the mean weight of the freshmen in April is greater than the mean weight in September? Assume we want to use a 0.05 significance level to test the claim.

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the mean weight of the freshmen in April is greater than the mean weight in September? Justify your conclusion.