A random sample of eight pairs of twins was randomly assigned to treatment A or

Question

A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. a. Is there significant evidence that the two treatments differ using an alpha = .05 paired t test. b. Is there significant evidence that the two treatments differ using an alpha = .05 sign test. c. Do your conclusions in parts (a) and (b) agree? d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ? Refer to Exercise 6.23 a. What is the level of significance of the paired t test? b. What is the level of significance of the sign test? c. Place a 95% confidence interval on the mean difference between the responses from the two treatments. d. Which of the two procedures, the paired t test or the sign test, appears to be more valid in this study?

Explanation / Answer

a. The level of significance is 5% which is also known as fixed significant level.

b. The level of significance is 5% which is also known as fixed significant level.

c.

Excel formula:

D. Since data is continuous, so with Normality assumption t-test is appropriate.

mean for A Mean for B 46.55714286 47.15714 PE= 0.6 SE= 0.814453 t-stat FOR 95% CI 2.178813 CI= Lower= -1.17454 Upeer= 2.37454

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