Refer to Exercise 15.16 and data set EX1516. The data in this table are from a paired-difference experiment with n = 7 pairs of observations.

a. Use Wilcoxon's signed-rank test to determine whether there is a significant difference between the two populations.
b. Compare the results of part a with the result you got in Exercise 15.16. Are they the same? Explain.
Exercise 15.16 and data set EX 1516
A paired-difference experiment was conducted to compare two populations. The data are shown in the table. Use a sign test to determine whether the population distributions are different.

a. State the null and alternative hypotheses for the test.
b. Determine an appropriate rejection region with α ‰ˆ.01.

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Pairs Population 1 8.9 8.1 9.3 7.7 10.4 8.374 8.8 7.4 9.07.9.9 8.1 6.9 Pairs Population 1 2 3 4 5 6 7 8.9 8. 9.3 7.7 10.4 8.3 7.4 8.8 7.4 9.0 7.8 9.9 8.1 6.9