Q Please answer each of the following three (3) questions. Worth 20 points total. 1. Worth up to 10 points: A researcher examining the topic of school suspensions is interested in investigating the average age of first school suspension. Based on a random sample of 157 students from a school district, she calculates a sample mean of 13.4 years and a sample standard deviation of 1.5 years. a. Based on ? = .01, calculate the resulting confidence interval for this data set. b. Based on ? = .05, calculate the resulting confidence interval for this data set. c. Interpret the two confidence intervals in your own words, to show understanding of the use of confidence intervals and applying them to the specific question that was asked. _________________________________________________________________________________________ 2. Worth up to 5 points: You are reading a newspaper article that claims a new crime prevention program is effective. The researchers state that as a result of the program, there was a mean reduction of 1.69 motor vehicle thefts per month across the cities included in the sample. To support their conclusion, they report a 95% confidence interval of –1.81 ? µ ? 5.19 (i.e., 1.69 ± 3.50) for the mean reduction in motor vehicle thefts. Do you agree with the researchers’ claim that this program was effective? Fully explain why or why not, using the confidence interval result provided and other relevant material covered in the module. _________________________________________________________________________________________ 3. Worth up to 5 points: A researcher is discussing results of a study of a new work release program. She compared a sample of paroled inmates who completed the program while they were incarcerated to a sample of parolees who did not. She found that 41% of the work release group was rearrested within one year of release, compared to 48% of the non-work release group. She asserts that this is strong proof that the program works. Do you agree with her conclusion, and why or why not? Prepare a response using the relevant concepts from the module, including the use of an appropriate statistical test contained in Table 9.2 (Chapter 9) of the textbook.

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