Find the 99% confidence interval for estimating μd based on these paired data and assuming normality. (Give your answers correct to one decimal place.)
Before: 58 55 57 42 64 41
After: 48 30 35 38 54 56
Lower Limit:
Upper Limit:
Subject | Before | After | d = before - after |
1 | 58 | 48 | 10 |
2 | 55 | 30 | 25 |
3 | 57 | 35 | 22 |
4 | 42 | 38 | 4 |
5 | 64 | 54 | 10 |
6 | 41 | 56 | -15 |
Using the data of difference (right - left) from the above
table, we calculate
xd(bar) = 9.3333
s(dbar) = 14.3341
sample size, n = 6, hence df = 5
For 99% CI, t-value = 4.0321 (df = 5 and area in one tail is 0.01/2 = 0.005)
Ans: CI = (-14.3 , 32.9)
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