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Essentials of Statistics for the B...

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

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Section
BuyFindarrow_forward

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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