1. Psychologists studied a sample of 10 adolescents in a Midwestern town. The researchers assessed a personality variable called “agreeableness,” using a standard personality questionnaire. The questionnaire is a measure of how nice a person is to be around. The questions ask about how cheerful, stubborn, polite, bossy, and cooperative the person is. Each adolescent's average of those items is reported. The researchers also created a measure of behavior problems. The adolescents self-reported on various behaviors in the last 6 months, including cheating, swearing, stealing, and fighting. Each adolescent's sum of behavior problems is reported. The table shows a representative sample of 10 participants. For this sample of 10 participants:
(a) Using excel, compute the Pearson correlation coefficient, and
(b) Assess the significance of the correlation coefficient, assuming a two-tailed hypothesis test with a p level of 0.05.
Table: Agreeableness
Agreeableness Rating | Behavior Problems |
4.3 | 5 |
3.0 | 22 |
3.4 | 10 |
3.3 | 12 |
2.9 | 23 |
4.0 | 21 |
4.7 | 2 |
2.4 | 35 |
2.9 | 12 |
4.7 | 4 |
a)
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