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
|
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
|
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.
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.