C-2. Compute the test statistic for union membership

26

Barrington town police believe that 65% of the drivers traveling on the road that leads to the middle school are exceeding the speed limit. They set up a radar trap and check the speeds of 81 cars. a)  Using the 68-95-99.7 Rule, draw and label the distribution of the proportion of these cars the Barrington police will observe speeding. 
 b)  Do you think that the appropriate conditions necessary for your analysis are met? Explain?

43.  You have been hired by the Department of Health and Human Services to analyze the qualifications of social workers in your state.     Your boss thinks that social workers in one part of the state are underqualified to serve the needs of the community where they work.  You know from state data that the average social worker statewide has 10.2 years of experience.  You then conducted a study by gathering a random sample of social workers from the region of concern.    Your sample consisted of 203 randomly selected social workers, who had an average of 8.7 years of experience, with a standard deviation of 0.52 years.  Based on your data, can you conclude that social workers from the region of concern have significantly less experience than workers statewide?