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DO IDE X * Cou X COU X Cou X Cou X * Cou X *Cou X Hor X Hor X * Hor X * Hor X X - C imathas.humber.ca/assess2/?cid=493&laid=18010#/skip/7 Q 2 IM HUMBER COLLEGE OO STAT1112 Suppose a researcher is interested determining whether, on average, driving times on 1hr36mins the major traffic routes are approximately the same or not. The following data are randomly collected from three major traffic routes. The entries in the table are driving times in minutes on the these routes. Route 1 | Route 2 |Route 3 62 56 58 67 59 62 62 56 57 64 56 57 64 50 57 62 61 62 61 61 58 63 57 57 63 61 57 55 57 58 57 57 57 59 56 59 59 57 56 56 58 57 58 56 57 A One-Way ANOVA test was conducted at a 0.01 level of significance. The results are shown below. Note that some values in the table might be in scientific notation. Say, 1.65E-07 means 1.65x10" or 0.000000165. W 2:48 PM Type here to search O 10"C Mostly sunny ~ 9: "1 7 (x 2022-04-20DO IDE X * Cou X Cou X Cou X Cou X * COU X *Cou X Hor X Hor X * Hor X * Hor X X imathas.humber.ca/assess2/?cid=493&laid=18010#/skip/7 Q 2 IM HUMBER COLLEGE DO STAT1112 ANOVA: Single Factor 1hr36mins SUMMARY Groups Count Sum Average Variance Route 1 10 633 63.300 3.122222 Route 2 20 1154 57.700 3.063158 Route 3 15 871 58.067 3.209524 ANOVA Source of SS of MS F P-value F crit Variation Between 231.56667 2 115.78333 37.0554 5.32 E-10 5.14914 Groups Within 131.23333 42 3.12460 Groups Total 362.80000 44 Based on the Excel output, what conclusion is the most appropriate? O At the 0.01 level of significance, there is not sufficient sample evidence to support the claim that there is a difference in the average driving times. On average, the driving times are approximately the same. O At the 0.01 level of significance, the sample data support the claim that there is a difference in the average driving times. On average, the driving times on the major traffic routes are not the same. O For 0.01 level of significance the ANOVA test shows the sample means and the amale v. or but failke to or the action whether different traffic can 2:48 PM Type here to search W 10"C Mostly sunny ~ 9: "1 7 (x 2022-04-20DO IDE X * Cou X Cou X Cou X Cou X * COU X *Cou X Hor X Hor X * Hor X * Hor X X C imathas.humber.ca/assess2/?cid=493&laid=18010#/skip/7 Q 2 IM HUMBER COLLEGE DO STAT1112 ANOVA 1hr36mins Source of 55 df MS F P-value F crit Variation Between 231.56667 2 115.78333 37.0554 5.32 E-10 5.14914 Groups Within Groups 131.23333 42 3.12460 Total 362.80000 44 Based on the Excel output, what conclusion is the most appropriate? O At the 0.01 level of significance, there is not sufficient sample evidence to support the claim that there is a difference in the average driving times. On average, the driving times are approximately the same. O At the 0.01 level of significance, the sample data support the claim that there is a difference in the average driving times. On average, the driving times on the major traffic routes are not the same. O For 0.01 level of significance the ANOVA test shows the sample means and the sample variances, but fails to answer the question whether different traffic routes affect the average driving times. Probably, the researcher should increase the sample sizes. O For 0.01 level of significance the ANOVA test is unable to give a positive or a negative answer to the question whether different traffic routes affect the average driving times. The question needs futher investigation. O None of the above Question Help: Message instructor Add Work 2:48 PM Type here to search O W 10"C Mostly sunny ~ 9: "1 7 (x 2022-04-20

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