Two independent random samples produced the measurements listed in the table on page 421. Do the data provide sufficient evidence to conclude that there is a difference between the locations of the probability distributions for the sampled populations? Test using a = .05.
Sample from Population 1 Sample from Population 2 ................................................. ................................................. 1.2 1 .O 1.5 1.9 1.9 1.8 1.3 2.7

.7 1.1 2.9 3.5 2.5

'7.95 A random sample of nine pairs of observations are recorded on two variables, x and y. The data are shown in the following table.

Pair x y Pair x y ................................... ...................................

1 19 12 6 29 10 2 27 19 7 16 16 3 15 7 8 22 10 4 35 25 9 16 18 5 13 11 Do the data provide sufficient evidence to indicate that the probability distribution for x is shifted to the right of that for y? Test using a = .05.