- Question 1 An Advocacy Group For Faster Emergency Response Times Argues That Relocating A Police Station Further Away Fr 1 (148.44 KiB) Viewed 10 times
- Question 1 An Advocacy Group For Faster Emergency Response Times Argues That Relocating A Police Station Further Away Fr 2 (42.67 KiB) Viewed 10 times
Question 1 An advocacy group for faster emergency response times argues that relocating a police station further away from its current location would hurt members of the lower socioeconomic group the most, since they live the furthest away. Suppose that the group randomly surveyed 24 individuals and asked them their average commuting distance to the police station. Use the output below to conduct the appropriate analysis to make a recommendation to the group. Distance Low Middle Upper Total w 250 20.00 15.00 10.00 N Mean 35.8125 8 8 11.8875 8 12.0375 24 19.9125 Normal Q-Q Plot of Distance Grup Low Observed Value Std. Deviation Std. Error 19.98367 7.06529 6.65699 2.35360 7.51436 2.65673 16.85579 3.44067 180 Group Descriptives lape 95% Confidence Interval for Mean Lower Bound Upper Bound 19.1057 52.5193 6.3221 17.4529 5.7553 18.3197 12.7949 27.0301 Observed Value 30- 400- Normal G-Q Plot of Distance GoWie 2000- Minimum Maximum 65.40 22.00 28.60 65.40 9.40 2.10 4.60 2.10 HIK Group Normal Q-Q Plot of Distance GUpper Observed a HI per a) Evaluate the assumptions for this test. Based on your conclusions, can the results of the test be trusted. More specifically, (i) determine whether you can pool the standard deviations; (ii) evaluate on the appropriateness of the test based on the boxplots and qqplots; (iii) use the boxplots to determine if there may be a difference in the means. Ensure you highlight which means you expect to be different and why; (iv) comment on the means plot. b) Regardless of your conclusions in part (a), determine whether at least one of the population mean distance travelled is different from the others. Use the 1% level of significance for your analysis. Also calculate the pooled variance and the percentage of variation in distance that is accounted for by the model. c) Regardless of your conclusions in part (a), determine whether at least one of the population mean distance travelled is different from the others. Use the 5% level of significance for your analysis. Also calculate the pooled standard deviation and the percentage of variation in distance that is accounted for by the model. d) If applicable, determine which means are different using the 1% level of significance. Ensure you write out each test as shown in class. If not applicable, explain why. e) If applicable, determine which means are different using the 95% confidence intervals generated. Ensure you write out each test as shown in class. If not applicable, explain why.
Notes: 1. All hypothesis tests must be structured and presented using the format presented in the examples in the class notes. 2. Statement are required at the end of all calculations for hypothesis tests and confidence intervals. 3. Give all answers to 4 decimal places (unless otherwise stated). 4. Ensure that for hypothesis tests you always show the probability statement for the pvalue, present the graph showing the p-value and make your conclusion based on your p-value. 5. Probabilities may be calculated using 6. Critical values may be obtained from the table associated with the sampling distribution of the statistic being examined.