Question

In: Statistics and Probability

A student is interested in whether gender interacts with the effects of mood on problem solving....

A student is interested in whether gender interacts with the effects of mood on problem solving. The student induces mood by having participants (both males and females) write about a time when they felt a certain emotion. The emotions used are fear and happiness.  The participants are randomly assigned to one of these emotion conditions. To check the manipulation, the student has participants rate their emotional state after the manipulation, on a 1-7 scale with 1 meaning highly negative and 7 meaning highly positive mood. The student then gives the participants a series of problems to solve, and records the number solved.

Men

(A1)

Women

(A2)

Fear

(B1)

5

6

7

7

5

4

5

4

2

1

2

2

3

2

1

1

Happy

(B2)

1

2

4

2

3

4

3

2

5

6

5

5

5

4

3

4

   

Men

(A1)

Women

(A2)

Fear

(B1)

=

=

=

Happy

(B2)

=

=

=

=

=

d. Is there a significant main effect for Sex?  Describe the findings.

e. Is there a significant main effect for Emotion?  Describe the findings.

f. Is there a significant interaction?  Describe the interaction using the names and levels of each variable.

Solutions

Expert Solution

The output is:

Factor 2
Means:
(A1) (A2)
(B1) 5.4 1.8 3.6
Factor 1 (B2) 2.6 4.6 3.6
4.0 3.2 3.6
8 replications per cell
ANOVA table
Source SS    df MS F    p-value
Factor 1 0.03 1 0.031 0.03 .8588
Factor 2 5.28 1 5.281 5.45 .0269
Interaction 63.28 1 63.281 65.32 8.44E-09
Error 27.13 28 0.969
Total 95.72 31

d. Is there a significant main effect for Sex?  Describe the findings.

The hypothesis being tested is:

H0: There is no significant main effect for Sex

Ha: There is a significant main effect for Sex

The p-value from the output is 0.0269.

Since the p-value (0.0269) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant main effect for Sex.

e. Is there a significant main effect for Emotion?  Describe the findings.

The hypothesis being tested is:

H0: There is no significant main effect for Emotion

Ha: There is a significant main effect for Emotion

The p-value from the output is 0.8588.

Since the p-value (0.8588) is greater than the significance level (0.05), we cannot reject the null hypothesis.

Therefore, we cannot conclude that there is a significant main effect for Emotion.

f. Is there a significant interaction?  Describe the interaction using the names and levels of each variable.

The hypothesis being tested is:

H0: There is no significant interaction

Ha: There is a significant interaction

The p-value from the output is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant interaction.

orchestra answered 2 years ago
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