Question

# Find the 99% confidence interval for estimating μd based on these paired data and assuming normality....

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 42 65 52 57 58 48 After 30 43 48 32 30 50
 Lower Limit Upper Limit

#### Homework Answers

Answer #1
 Before After Difference 42 30 12 65 43 22 52 48 4 57 32 25 58 30 28 48 50 -2

Sample mean if the difference, x̅d =   14.8333
Sample standard deviation of the difference, sd =   12.1395
Sample size,    n =   6

99% Confidence interval for the differnce:

At α = 0.01, and df = 5, two tailed critical value, t-crit = T.INV.2T(0.05 , 5 ) =   4.032

Lower Bound  = x̅d - t-crit*sd/√n  = -5.1

Upper Bound = x̅d + t-crit*sd/√n = 34.8

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