T he data for a random sample of six paired observations are shown in the following table and saved in the LM7_33 file
Pair
| Sample from Population 1
| Sample from Population 2
|
1 | 7 | 4 |
2 | 3 | 1 |
3 | 9 | 7 |
4 | 6 | 2 |
5 | 4 | 4 |
6 | 8 | 7 |
a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate
b. If μ1 and μ 2 are the means of populations 1 and 2, respectively, express md in terms of μ 1 and μ 2.
c. Form a 95% confidence interval for μ d.
d. Test the null hypothesis H0: μ d = 0 against the alternative hypothesis Ha: μd ≠ 0 Use a = .05
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