1. Can the U test be used to determine whether there is a difference between machines I and II of Table 17.1? Explain.
Day
1
2
3
4
5
6
7
8
9
10
11
12
Machine I
47
56
54
49
36
48
51
38
61
52
Machine II
71
63
45
64
50
55
42
46
53
57
75
60
2. Make up and solve a problem using the U test.
3. Find U for the data of Table 17.35, using (a) the formula method and (b) the counting method.
Sample
15
25
20
32
4. Work Problem 17.41 for the data of Table 17.36.
40
27
30
35
5. A population consists of the values 2, 5, 9, and 12. Two samples are drawn from this population, the first consisting of one of these values and the second consisting of the other three values.
(a) Obtain the sampling distribution of U and its graph.
(b) Obtain the mean and variance of this distribution, both directly and by formula.
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