4/19/22, 8:01 AM IDEAS Suppose a researcher is interested determining whether, on average, driving times on 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 43 42 42 43 41 42 43 41 43 48 41 45 42 42 44 45 40 45 46 42 45 45 42 42 43 41 43 43 43 44 48 45 41 43 41 42 43 42 41 48 42 43 42 48 43 A One-Way ANOVA test was conducted at a 0.02 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. ANOVA: Single Factor https://imathas humber.ca/assess2/?cid=558&aid=18013#/print 17/234f19f22, 8:01 AM IDEAS SUMMARY Groups Count Sum Average Variance Route 1 10 441 44.100 3.433333 Route 2 15 629 41.933 3.495238 Route 3 20 873 43.650 3.502632 ANOVA Source of SS df MS F Pvaiue Variation B t e wee" 36.19444 2 18.09722 5.1924 0.009659 Groups Within 146.38333 42 3.48532 Groups Total 18257778 44 Based on the Excel output, what conclusion is the most appropriate? F crit 4.30012 For 0.02 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. At the 0.02 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. For 0.02 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. At the 0.02 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. hnpsimathashumbercai'a ssesskidziisiaid: 130 13#1'prin1 18f23