Two faculty members ranked 12 candidates for scholarships.

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.

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