Reference no: EM13903522

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.