A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test. He records the following data: Hours without sleep, x 30 36 48 24 42 30 36 42 Number of Mistakes, y 15 7 10 7 10 12 Test Ho: p=0 against H,: p 0 at a = 0.05. The correlation coefficient r= 0.903 has been computed from the data. a) Give the critical value or values. b) Compute the value of the test statistic.

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A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test.
He records the following data:
Hours without sleep, x
30
36
48
24
42
30
36
42
Number of MIstakes, y
6
8
15
7
10
7
10
12
Test Ho: p = 0 against H,: p± 0 at a = 0.05. The correlation coefficient r = 0.903 has been computed from the data.
a) Give the critical value or values.
b) Compute the value of the test statistic.
Transcribed Image Text:A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test. He records the following data: Hours without sleep, x 30 36 48 24 42 30 36 42 Number of MIstakes, y 6 8 15 7 10 7 10 12 Test Ho: p = 0 against H,: p± 0 at a = 0.05. The correlation coefficient r = 0.903 has been computed from the data. a) Give the critical value or values. b) Compute the value of the test statistic.
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