Two faculty members ranked 12 candidates for scholarships. Calculate the Spearman rank-correlation coefficient and test it for significance. Use a .02 level of significance.
Candidate
Rank by Professor A
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Rank by Professor B
1
6
5
2
10
11
3
2
6
4
1
3
5
5
4
6
11
12
7
4
2
8
3
1
9
7
7
10
12
10
11
9
8
12
8
9
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Independent random samples of ten day students and ten evening students at a university showed the following age distributions.
Day
Evening
26
32
18
24
25
23
27
30
19
40
30
41
34
42
21
39
33
45
31
35
Use a = 0.05 and test for any significant differences in the age distribution of the two populations. Use Wilcoxon Signed-Rank Test.
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A production process that is in control has a mean (m) of 80 and a standard deviation (s) of 10.
a. Determine the upper and the lower control limits for sample sizes of 25.
b. Five samples had means of 81, 84, 75, 83, and 79. Construct an X bar chart and explain whether or not the process is in control.
