The following statistics represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods. The mean crime rate, 64.2 and standard deviation, s 27.9 crimes per 1000 population a) Let us say that the data are representative of the population crime rates in Denver neighborhoods. (i) Compute the margin of error, E for an 80% confidence interval for u, the population mean crime rate for all Denver neighborhoods (i1) Compute an 80% confidence interval for u, the population mean crime rate for all Denver neighborhoods. b) Suppose you are advising the police department about police patrol assignments. One neighborhood has a crime rate of 57 crimes per 1000 population. Do you think that this rate is below the average population crime rate and that fewer patrols could safely be assigned to this neighborhood? Explain Use the confidence interval to justify your answer. c) Another neighborhood has a crime rate of 75 crimes per 1000 population average? Does this crime rate seem to be higher than the population average? Would you recommend assigning more patrols to this neighborhood? Explain. Use the confidence interval to justify your answer.

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