T he data for a random sample of 10 paired observations are shown in the following table and saved in the LM9_34 file.
Pair | Population 1 | Population 2
|
1 | 19 | 24 |
2 | 25 | 27 |
3 | 31 | 36 |
4 | 52 | 53 |
5 | 49 | 55 |
6 | 34 | 34 |
7 | 59 | 66 |
8 | 47 | 51 |
9 | 17 | 20 |
10 | 51 | 55 |
a. If you wish to test whether these data are sufficient to indicate that the mean for population 2 is larger than that for population 1, what are the appropriate null and alternative hypotheses? Define any symbols you use.
b. Conduct the test from part a , using α = .10. What is your decision
c. Find a 90% confidence interval for μ d. Interpret this interval.
d. What assumptions are necessary to ensure the validity of the preceding analysis?
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