Two faculty members ranked 12 candidates for scholarships Ca

Two faculty members ranked 12 candidates for scholarships.

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

Question 15

Question text

What is the Spearman rank-correlation coefficient (r_s)?

Select one:

a. 1.00

b. 38

c. 0

d. 0.87

e. 0.13

Question 16

Question text

What is r_s?

Select one:

a. 0.09

b. 0.25

c. 0.87

d. 0.13

e. 0.30

Question 17

Question text

What is the value of the test statistic z?

Select one:

a. 0.87

b. 0.004

c. 2.88

d. 0.30

e. 0.09

Question 18

Question text

What is the p-value?

Select one:

a. 0.004

b. 2.88

c. 0.192

d. 0.002

e. 0.384

Question 19

Question text

Using = .02 what is your conclusion about how Professor A and Professor B rank the twelve students?

Select one:

a. Since the p-value is less than .02 we can conclude that the ranking of the twelve students by Professor A and Professor B are not correlated.

b. The ranking of the twelve students by Professor A and Professor B are independent and cannot be compared to each other.

c. Since the p-value is greater than .02 we can conclude that the ranking of the twelve students by Professor A and Professor B are not correlated.

d. Since the p-value is greater than .02 we can conclude that the ranking of the twelve students by Professor A and Professor B are correlated.

e. Since the p-value is less than .02 we can conclude that the ranking of the twelve students by Professor A and Professor B are correlated.

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

Solution

15) d. 0.87 since r =0.8613

16) b. 0.25

17) c. 2.88

18) d. 0.002

19) e. Since the p-value is less than .02 we can conclude that the ranking of the twelve students by Professor A and Professor B are correlated.