Topic: Inference for More Than Two Independent Samples Good Day Statistics experts I would like the correct steps and de
Posted: Wed Jul 06, 2022 12:23 pm
Topic: Inference for More Than Two Independent Samples
Good Day Statistics experts I would like the correct steps anddetailed explanation for PART D of the followingexercirse
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 N 181 Mean 35.8125 8 11.8875 8 12.0375 19.9125 24 Std. Deviation 19.98367 6.65699 7.51436 16.85579 Descriptives Std. Error 7.06529 2.35360 2.65673 3.44067 95% Confidence interval for Mean Lower Bound Upper Bound Minimum Maximum 19.1057 52.5193 6.3221 17.4529 5.7553 18.3197 12.7949 27.0301 2.10 4.60 2.10 22.00 28.60 65.40
Low Group Midda Ucra 8 8 4 HH Mean of Distance b 9 Distance 9 5
Normal Q-Plot of Distance 30 à Observed Valus a 10 do T Expected Normal Value Normal Q-Q Plot of Distance Group: Middle Observed Value Expected Normal Value Normal - Plot of Distance Group: Upper t 0 20 Observed Value is 0
Distance Between Groups Within Groups Total Group Dependent Variable: Distance Bonferroni Low Middle (J) Group Middle Upper Upper Low Sum of Squares Upper Low Middle 3033.810 3500.896 6534.706 Mean Difference ( J) ANOVA 23.92500 23.77500* -23.92500 - 15000 -23.77500 df 2 21 23 Multiple Comparisons Std. Error 6.45580 6.45580 6.45580 6.45580 6.45580 15000 6.45580 The mean difference is significant at the 0.05 level. Mean Square 1516.905 166.709 Sig. 004 004 004 1.000 _004 1.000 F 9.099 Sig. Lower Bound 7.1312 6.9812 -40.7188 -16.9438 -40.5688 -16.6438 001 95% Confidence interval Upper Bound 40.7188 40.5688 -7.1312 16.6438 -6.9812 16.9438
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.
Good Day Statistics experts I would like the correct steps anddetailed explanation for PART D of the followingexercirse
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Low Group Midda Ucra 8 8 4 HH Mean of Distance b 9 Distance 9 5
Normal Q-Plot of Distance 30 à Observed Valus a 10 do T Expected Normal Value Normal Q-Q Plot of Distance Group: Middle Observed Value Expected Normal Value Normal - Plot of Distance Group: Upper t 0 20 Observed Value is 0
Distance Between Groups Within Groups Total Group Dependent Variable: Distance Bonferroni Low Middle (J) Group Middle Upper Upper Low Sum of Squares Upper Low Middle 3033.810 3500.896 6534.706 Mean Difference ( J) ANOVA 23.92500 23.77500* -23.92500 - 15000 -23.77500 df 2 21 23 Multiple Comparisons Std. Error 6.45580 6.45580 6.45580 6.45580 6.45580 15000 6.45580 The mean difference is significant at the 0.05 level. Mean Square 1516.905 166.709 Sig. 004 004 004 1.000 _004 1.000 F 9.099 Sig. Lower Bound 7.1312 6.9812 -40.7188 -16.9438 -40.5688 -16.6438 001 95% Confidence interval Upper Bound 40.7188 40.5688 -7.1312 16.6438 -6.9812 16.9438
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.