Question

The next two questions refer to the following situation. In order to compare two kinds of feed, thirteen pigs are split into two groups, and each group received one feed. The following are the gains in weight (kilograms) after a fixed period of time:

Feed A: 8.0 7.4 5.8 6.2 8.8 9.5

Feed B: 12.0 18.2 8.0 9.6 8.2 9.9 10.3

We wish to test the hypothesis that Feed B gives rise to larger weight gains.

20. The appropriate test statistic and p-value are:

(a) T_= -2.4048; p-value = .0431

(b) T_= -2.4048; p-value = .0216

(c) T_= -2.2596; p-value = .0451

(d) T_= -2.2596; p-value = .0256

(e) F’ = 6.85; p-value = .0520

21. The results were written up in a report, but a reviewer of the report thought that some of the assumptions necessary for a two-sample t-test might be violated. Consequently, a non-parametric procedure was also done. The rank-sum test statistic computed for Feed A and the corresponding p-value are:

(a) W = 25.5 p-value = .009

(b) W = 25.5 p-value = .018

(c) W = 23.5 p-value = .003

(d) W = 23.5 p-value = .006

(e) W = 7.45 p-value = .043

Answer 1

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

(d) T_= -2.2596; p-value = .0256

21]

P value= 0.018/2=0.09

(a) W = 25.5 p-value = .009