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 (lb)

Student September April

1 147 150

2 127 125

3 140 150

4 156 160

5 154 156

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.

1. (a)Identify the null hypothesis and the alternative hypothesis.
2. (b)Determine the test statistic.
3. (c)Determine the P-value for this test.
4. (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.