Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 100 social workers in a western state found that their mean salary was $33,400 with a standard deviation of $3200. Test the claim that the salaries of social workers in the western state is more than $10,000 greater than that of social workers in the southern state. Use = 0.05.

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The Answer of Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 100 social workers in a western state found that their mean salary was $33,400 with a standard deviation of $3200. Test the claim that the salaries of social workers in the western state is more than $10,000 greater than that of social workers in the southern state. Use = 0.05.