# New England College Week6 Statistics for Social Sciences Problem Set

Problem Set 61. In an experiment designed to determine the effect of mood on perception of pain, subjects

were induced to experience a good mood, a bad mood, or had no mood induction. Participants

were then asked to rate the amount of pain they were currently experiencing. Below is a list of

the pain ratings. Test the null hypothesis that mood has no effect on perception of pain. (35

points)

Negative Mood

Positive Mood

Control Group

10

6

11

12

8

2

2

7

5

1

5

6

4

5

7

Research Problem:

Statistical Hypotheses:

Decision Rule:

Use Jamovi to calculate the F value and post hoc tests if warranted. Copy and paste your

outputs here or upload a separate file with your outputs to the assignment in Blackboard.

Decision:

Interpretation:

1

2. In a study of group productivity, participants worked alone or shared the responsibility

for building widgets with one other, with three others, or with fifteen others. Below, are

the data showing the number of widgets each group produced. Test the null hypothesis

that group size had no effect on productivity. (35 points)

Alone

Two-person

group

Four-person

group

8

6

5

6

4

6

3

6

9

10

12

9

Sixteen-person

group

5

8

3

6

Research Problem:

Statistical Hypotheses:

Decision Rule:

Use Jamovi to calculate the F value and post hoc tests if warranted. Copy and paste your

outputs here or upload a separate file with your outputs to the assignment in Blackboard.

Decision:

Interpretation:

2

3. Consider the following scores in an experiment involving three conditions;

A

B

C

2

2

2

2

5

5

5

5

8

8

8

8

Without actually computing the sum of squares within, what must its value be?

Why? (12 points)

4. Insert the missing entries in the summary table for a one-way analysis of variance having three

levels of the independent variable and n = 25. (Each answer is 3 points)

Source

SS

df

MS

F

Between

___

___

___

___

Within

121

___

___

Total

141

3

Problem Set 5

1. A professor is wondering whether allowing students to use their notes during tests

improves performance. She uses one of her classes as a control group and does not

allow them to use their notes, and she allows her second class to use their notes while

taking their exams. Below are the grades for each 12 person class. Is there a difference

in grades due to being allowed to use notes?

Control Class

78

72

76

74

60

90

55

72

87

86

73

62

Open Notes Class

90

88

87

85

65

65

97

92

87

73

86

85

Research Problem (2 points):

Do students that have an access to their notes during tests improve their exam

scores?

Statistical Hypotheses (4 points):

Null Hypothesis: Having an access to notes during exam will not affect the exam

scores

µ1 = µ 2

Alternative Hypothesis: Having an access to notes during exam will significantly

affect the exam scores

µ1 ≠ µ2

Decision Rule (4 points):

Reject the null hypothesis at the .05 level of significance if t is greater than or equal to

2.074 or less than or equal to -2.074, given 22 degrees of freedom.

Calculations (copy and paste your Jamovi output here or upload a separate file with

your outputs to Blackboard.) (5 points)

Decision (5 points):

t = -2.23

Since t < -2.074, Reject the null hypothesis
Interpretation (5 points):
There is enough evidence to support the claim that having an access to notes
during an exam will significantly affect the exam scores.
2. A developmental psychologist is interested in whether there is a difference in anxiety
between parents and their children. A study is done involving one parent and the oldest
child for each of 15 families, measuring the anxiety in each member of the pair. The data
are below with higher scores indicating more anxiety. Do parents and their children
differ?
Family
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Parent
8
4
5
6
3
2
6
7
7
7
8
9
5
4
4
Child
6
5
5
5
8
6
7
7
8
9
8
6
3
2
3
Research Problem (2 points):
Is there a difference in anxiety between parents and their children?
Statistical Hypotheses (4 points):
Null Hypothesis: There is no difference in the anxiety between parents and their
children
µ1 = µ 2
Alternative Hypothesis: There is a significant difference in the anxiety between
parents and their children
µ1 ≠ µ2
Decision Rule (4 points):
Reject the null hypothesis at the .05 level of significance if t is greater than or equal to
2.145 or less than or equal to -2.145, given 14 degrees of freedom.
Calculations (copy and paste your Jamovi output here or upload a separate file with
your outputs to Blackboard.) (5 points)
Decision (5 points):
t = -0.345
Since t > -2.145, Fail to reject the null hypothesis

Interpretation (5 points):

There is not enough evidence to support the claim that there is a significant

difference in the anxiety between parents and their children.

3. A researcher hypothesizes that there has been an increase in felony prison sentences

over the past 5 years. In 2013 the average prison sentence was 9 years. The researcher

selects a random sample of prisoners currently serving prison terms for felonies and

finds that they have the following prison sentences. Has the average amount of time

that people are sentenced for felony convictions changed in the last 5 years?

Prison Sentences in Years

11, 13, 14, 15, 8, 9, 10, 11, 11, 10, 11, 12, 13, 14, 15, 7, 8

Research Problem (2 points):

Has the average amount of time that people are sentenced for felony

convictions changed in the last 5 years?

Statistical Hypotheses (4 points):

Null Hypothesis: The average amount of time that people are sentenced for

felony convictions has not changed in the last five years.

µ=9

Alternative Hypothesis: The average amount of time that people are sentenced

for felony convictions has changed in the last five years.

µ1 ≠ 9

Decision Rule (4 points):

Reject the null hypothesis at the .05 level of significance if t is greater than or equal

to 2.120 or less than or equal to -2.120, given 16 degree of freedom.

Calculations (copy and paste your Jamovi output here or upload a separate file with

your outputs to Blackboard.) (5 points)

Decision (5 points):

t = 3.83

Since t > 2.120, Reject Null Hypothesis

Interpretation (5 points):

There is enough evidence to support the claim that the average amount of

time that people are sentenced for felony convictions has changed in the last

five years

4. Researchers have a hypothesis that older siblings tend to be more extroverted than

their younger siblings. They collected data between 14 pairs of same sex siblings, and

found the following extraversion scores. Is there a difference between how extraverted

older and younger siblings are? (Extraversion is measured on a 50 point scale with

higher scores indicating more extraversion.)

Sibling

Pair

1

2

3

4

5

6

7

8

9

10

11

12

13

14

Older

Sibling

48

42

36

29

45

22

25

35

45

50

36

24

33

39

Younger

Sibling

40

32

25

19

36

14

15

24

37

44

29

15

34

31

Question 4

Research Problem (2 points):

Is there a difference between how extraverted older and younger siblings are?

Statistical Hypotheses (4 points):

Null Hypothesis: There is no difference in the extraversion between older and

younger siblings

µ1 = µ 2

Alternative Hypothesis: There is a significant difference in the extraversion

between older and younger siblings

µ1 ≠ µ2

Decision Rule (4 points):

Reject the null hypothesis at the .05 level of significance if t is greater than or equal to

2.160 or less than or equal to -2.160, given 13 degree of freedom.

Calculations (copy and paste your Jamovi output here or upload a separate file with

your outputs to Blackboard.) (5 points)

Decision (5 points):

t = 10.1

Since t > 2.160, Reject Null Hypothesis

Interpretation (5 points):

There is enough evidence to support the claim that there is a significant

difference in the extraversion between older and younger siblings

## We've got everything to become your favourite writing service

### Money back guarantee

Your money is safe. Even if we fail to satisfy your expectations, you can always request a refund and get your money back.

### Confidentiality

We don’t share your private information with anyone. What happens on our website stays on our website.

### Our service is legit

We provide you with a sample paper on the topic you need, and this kind of academic assistance is perfectly legitimate.

### Get a plagiarism-free paper

We check every paper with our plagiarism-detection software, so you get a unique paper written for your particular purposes.

### We can help with urgent tasks

Need a paper tomorrow? We can write it even while you’re sleeping. Place an order now and get your paper in 8 hours.

### Pay a fair price

Our prices depend on urgency. If you want a cheap essay, place your order in advance. Our prices start from $11 per page.