The same sample of social workers reports an average annual salary of $25,782, with a standard deviation of $622. Is this figure significantly higher than the national average of $24,509?

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The same sample of social workers reports an average annual salary of $25,782, with a standard
deviation of $622.
Is this figure significantly higher than the national average of $24,509?
Solution:
Data
Sample National
Mean $25,782 $24,509
SD $622
As we are to compare the sample mean with the population mean, we have to use ‘One
Sample t-test’.
Assumptions of the study:
 The sample size is not provided in the problem. We assume the sample has to be
large that is greater than 30.
 The α =...