# Question The data for a random sample of 10 paired observations are shown in the following table 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 μd. Interpret this interval. (d) What assumptions are necessary to ensure the validity of the preceding analysis? VX3AXZ The Asker · Probability and Statistics

The data for a random sample of 10 paired observations are shown in the following
table
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 μd. Interpret this interval.
(d) What assumptions are necessary to ensure the validity of the preceding analysis?

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