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 micro 1 and micro 2 are the means of populations 1 and 2, respectively, express micro d in terms of micro 1 and micro 2 c Form a 95 confidence interval for micro d d Test the null hypothesis H0 micro d 0 against the alternative hypothesis Ha micro d 0 Use Icirc plusmn 05 Sample from Population 1 (Observation 1) Sample from Population 2 (Observation 2) Pair 4 4 4 4

Question: 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

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 Î± = .05.

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

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