Chapter 14.5, Problem 1LCA

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

The following data represent job-related stress scores for a sample of n = 8 individuals. These people also are classified by salary level.a. Convert the data into a form suitable for the point-biserial correlation.b. Compute the point-biserial correlation for these data. Salary More than $40,000 Salary Less than$40,000 8 4 6 2 5 1 3 3

a.

To determine

To convert: The data into a form suitable for point biserial correlation.

Explanation

Given info:

The information is the representing the job-related stress scores for a sample of n=8 individuals.

Calculation:

The salary level is a dichotomous variable and it is coded as Y=1 for individuals with salary more than $40,000 and Y=0 for salary less than$40,000.

Two scores, X and Y, for each of the n=8 participants.

 Participant X Y A 8 1 B 6 1 C 5 1 D 3 1 E 4 0 F 2 0 G 1 0 H 3 0

mean(X)=4mean(Y)=0.5

Calculating the point biserial correlation for these data produces a value for r

b.

To determine

To find: The point biserial correlation.

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