In: Statistics and Probability
8. The Kansas Department of Social Services is facing a complaint that minority social workers are given different (namely lower) starting salaries than white/Caucasian workers. As a local social worker support organization, you conduct a survey of 19 caseworkers asking their monthly caseload for May 2016 shown below with 10 minority and 9 white/Caucasian workers. Data in thousands of dollars.
minority 50, 40, 52, 40, 45, 40, 35, 55, 45, 40
white/Caucasian workers 25, 30, 30, 40, 50, 25, 40, 35, 41
a) Provide null and alternative hypotheses in formal terms and layperson's terms for the test (5)
b) Do and show the math and reject/accept at a=.05 (10)
d) Explain the results in layperson's terms (10)
e) Calculate and then explain a 95% confidence interval in layperson's terms if appropriate. If not, you must explain why not. (10)