4. An organizational psychologist measures levels of job satisfaction in a sample of 30 participants. To measure the variance of job satisfaction, it is calculated that the SS = 120 for this sample.

a. What are the degrees of freedom for the variance?

n= Degrees of Freedom (df): value - 1

The degrees of freedom of an estimate of variance is equal to N-1

The "N" refers to the number of observations

Formula:

1) Sample size of N = 30 / Value or SS/n = variance

2) SS = 120/30 = 4 (df)

3) 30-1= 29 degrees of freedom

The question is incomplete. Here is the complete question.

A organizational psychologist measures levels of job satisfaction in a sample of 30 participants. To measure the variance of job satisfaction, it is calculated that the SS = 120 for this sample.

What are the degrees of freedom for the variance?

Compute the variance and standard deviation.

Degrees of freedom = 29

Variance = 4.138

Standard Deviation = 2.034

Step-by-step explanation: Degrees of freedom is a number of values in calculation of statistics that are free to vary, i.e., in how many ways a system can move independently. To determine it:

df = n - 1

which n is the quantity of the sample or population

For this sample: df = 30 - 1 = 29

The degrees of freedom is 29.

SS is the sum of the squared deviation, i.e., ∑(x - mean)².

Variance is calculated as:

variance = ∑(x - mean)² / n - 1 = SS / n - 1

variance =

variance = 4.138

Standard deviation is the spread from the mean and is the square root of variance:

standard deviation =

standard deviation =

standard deviation = 2.034

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068