Question

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

Answer 1

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.

Answer: 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 =
`(120)/(29)`

variance = 4.138

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

standard deviation =
`√(variance)`

standard deviation =
`√(4.138)`

standard deviation = 2.034