A random sample of eight pairs of twins was randomly assigned to treatment A and treatment B. Twins 1 2 3 4 5 6 7 8 Trt A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Trt B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4   a) Assuming twins are dependent (paired data) tests whether two treatments are different at 5% significant level. b) If a 95% confidence interval for  μd (true mean of the treatment differences) is constructed, will 0 be inside or outside the interval. Explain your answer without calculating the confidence interval

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A random sample of eight pairs of twins was randomly assigned to treatment A and treatment B.

Twins

1

2

3

4

5

6

7

8

Trt A

48.3

44.6

49.7

40.5

54.3

55.6

45.8

35.4

Trt B

43.5

43.8

53.7

43.9

54.4

54.7

45.2

34.4

 

a) Assuming twins are dependent (paired data) tests whether two treatments are different at 5% significant level.

b) If a 95% confidence interval for  μd (true mean of the treatment differences) is constructed, will 0 be inside or outside the interval. Explain your answer without calculating the confidence interval

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