1. Based on thousands of fish sold, the owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2% in weight. Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?

a. 1.56 pounds b. 4.84 pounds c. 5.20 pounds d. 7.36 pounds

2.To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up four weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.

A) the t test should be _______-tailed

a. One b. two c. either one or two d. neither one nor two

B) There are _______ degrees of freedom for this test.

a. 15 b. 16 c. 30 d. 31

C) Look in the t-table with the correct df (remember this isn’t exactly the same as n!). What is the number that your calculated t value would need to be bigger than if you were to be able to reject the null hypothesis in a two-tailed test at a 0.05 level of significance? In other words what is the critical value of t that you need to beat?

a. 0.0638 b. 1.7531 c. 2.1315 d. 2.4899