The data for a random sample of six paired observations are shown in the next table.
a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate and s2d.
b. If µ1 and µ2 are the means of populations 1 and 2, respectively, express µd in terms of µ1 and µ2.

c. Form a 95% confidence interval for µd.
d. Test the null hypothesis H0: µd = 0 against the alternative hypothesis Ha: µd ‰  0. Use α = .05.

Transcribed Image Text:

Sample from Population 1 (Observation 1) Sample from Population 2 (Observation 2) Pair 4 4 4 4