Question

Suppose that in a random sample of size 43, Pearson’s r is +0.374. Please explain

1. What is the standard score for r? (correct answer is B +2.42)

A) +2.29

B) +2.42

C) +2.15

D) +1.67

E) +1.89

2. What is the probability of getting a sample with this correlation or higher, if no correlation existed in the population? Please explain, correct answer is 0.0078)

A) 0.0294

B) 0.0158

C) 0.0475

D) 0.0078

E) 0.0110

3. If Pearson’s r is -0.9, and you scored above the mean of X, what did you score on Y? (correct answer is D)

A) Depends on the slope

B) Probably above the mean on Y

C) Depends on the mean of X

D) Probably below the mean on Y

E) Depends on the mean of Y

Answer 1

Suppose that in a random sample of size 43, Pearson’s r is +0.374. Please explain

1. What is the standard score for r?

t = = = 2.42

B) +2.42 option B is true

2. since the test is one-tailed so from t table, the p-value corresponding to 2.42 and df = 41 is

D) 0.0078

3. If Pearson’s r is -0.9, and you scored above the mean of X, what did you score on Y

D) Probably below the mean on Y because the sign of correlation coefficient and slope is same