The data for a random sample of 10 paired observations are shown in the table below.

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, part a, using a = .10.
c. Find a 90% confidence interval for µd. Interpret this result.
d. What assumptions are necessary to ensure the validity of this analysis?

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Sample from Population 1 Sample from Population 2 Pair 19 24 27 36 53 31 49 34 59 47 17 34 51 10