Question

A researcher surveys job satisfaction among laborers and​ white-collar workers.​ (Job satisfaction is rated on a scale from 1​ = low satisfaction to 10​ = high​ satisfaction.) Results show that laborers have a mean job satisfaction score of 3 and a SD​ 1; white-collar workers have a mean job satisfaction rating of 7 and a SD of 3.16. Which statement is the best interpretation of the mean and​ SD?

A. Laborers are less satisfied than white collar workers and most laborers are about equally dissatisfied, while there is more variation in the satisfaction of white collar workers
B. Laborers generally are less satisfied than white-cofar workers, but laborers wojtas kely to be highly satisfied as white collar workers are to be highly satisfied
C. White-colar workers and laborers we bout equally waited but there is more variation among white collar workers
D. White collar workers are more satisfied than laborers, but have similar amount of variation

Answer 1

Option A is the answer

Explanation:

From the question we are told that

The mean of laborers is 3

The standard deviation is 1

The mean of white collar workers is 7

The standard deviation for white collar workers is 3.16

From this value given we can see that the white collar worker is more dissatisfied than the laborers

Also the from the value of standard deviation of the laborers we see that the deviation from the mean is 1 which means that they are equally dissatisfied

But in the case of white collar workers we see deviation from the mean is very high which implies that the dissatisfaction varies more with white collar workers