The coded values for a measure of brightness in paper (light reflectivity), prepared by two different processes, are as shown in the accompanying table for samples of size 9 drawn randomly from each of the two processes. Do the data present sufficient evidence to indicate a difference in locations of brightness measurements for the two processes? Give the attained significance level.
A B
6.1
|
9.1
|
9.2
|
8.2
|
8.7
|
8.6
|
8.9
|
6.9
|
7.6
|
7.5
|
7.1
|
7.9
|
9.5
|
8.3
|
8.3
|
7.8
|
9.0
|
8.9
|
a Use the Mann-Whitney U test.
b Use Student's t test.
c Give specific null and alternative hypotheses, along with any assumptions, for the tests used in parts (a) and (b).