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A professor has a teaching assistant record the amount of time (in minutes) that

ID: 2947420 • Letter: A

Question

A professor has a teaching assistant record the amount of time (in minutes) that a sample of 16 students engaged in an active discussion. The assistant observed 8 students in a class who used a slide show presentation and 8 students in a class who did not use a slide show presentation Without Microsoft With Microsoft M 12 18 13 19 15 21 10 23 14 Use the normal approximation for the Mann-Whitney U test to analyze the data above. (Round your answer to two decimal places.) State whether to retain or reject the null hypothesis. (ASSume alpha equal to 0.05.) Retain the null hypothesis. O Reject the null hypothesis.

Explanation / Answer

Result:

a).

z =1.16

retain the null hypothesis.

Wilcoxon - Mann/Whitney Test

n

sum of ranks

8

79

With

8

57

without

16

136

total

68.000

expected value

9.522

standard deviation

1.155

z

.2480

p-value (two-tailed)

No.

Label

Data

Rank

1

With

12

9

2

With

18

13

3

With

13

10

4

With

19

14

5

With

7

4

6

With

23

16

7

With

5

2

8

With

14

11

9

without

4

1

10

without

15

12

11

without

21

15

12

without

10

7

13

without

11

8

14

without

9

6

15

without

6

3

16

without

8

5

b).

chi square = 8.40

Reject the null hypothesis.

Friedman Test

Sum of Ranks

Avg. Rank

6.00

1.20

prior

9.00

1.80

At

15.00

3.00

After

30.00

2.00

Total

5

n

8.400

chi-square (corrected for ties)

2

d.f.

.0150

p-value

multiple comparison values for avg. ranks

1.51

(.05)

1.86

(.01)

prior

At

After

1

2

3

1

2

3

2

1

3

1

2

3

1

2

3

Wilcoxon - Mann/Whitney Test

n

sum of ranks

8

79

With

8

57

without

16

136

total

68.000

expected value

9.522

standard deviation

1.155

z

.2480

p-value (two-tailed)

No.

Label

Data

Rank

1

With

12

9

2

With

18

13

3

With

13

10

4

With

19

14

5

With

7

4

6

With

23

16

7

With

5

2

8

With

14

11

9

without

4

1

10

without

15

12

11

without

21

15

12

without

10

7

13

without

11

8

14

without

9

6

15

without

6

3

16

without

8

5

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