Statistics for Social Sciences Problem Set



  • 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?
  • 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?
  • 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?
  • 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.)

Control Class

Open Notes Class

78

90

72

88

76

87

74

85

60

65

90

65

55

97

72

92

87

87

86

73

73

86

62

85

Research Problem (2 points):

Statistical Hypotheses (4 points):

Decision Rule (4 points):

Reject the null hypothesis at the .05 level of significance if t is greater than or equal to __________ or less than or equal to ________, given ________ 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):

Interpretation (5 points):

Family

Parent

Child

1

8

6

2

4

5

3

5

5

4

6

5

5

3

8

6

2

6

7

6

7

8

7

7

9

7

8

10

7

9

11

8

8

12

9

6

13

5

3

14

4

2

15

4

3

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