Question: 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








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 59 53 55 59 59 54 62 53 55 57 52 56 56 51 59 57 53 54 57 52 54 60 52 53 57 52 56 57 52 53 54 53 53 56 52 53 52 54 54 53 54 53 56 57 52 56 56 51 59 57 53 54 57 52 54 60 52 53 57 52 56 57 52 53 54 53 53 56 52 53 52 54 54 53 54 53 56 59 53 A OneWay ANOVA test was conducted at a 0.1 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 1.65x10'7 or 0.000000165. ANOVA: Single Factor means 1.65x10" or 0.000000165. ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Route 1 10 581 58.100 3.433333 Route 2 15 794 52.933 3.495238 Route 3 20 1093 54.650 3.502632 ANOVA Source of SS df MS F P-value F crit Variation Between 161.52778 2 80.76389 23.1726 1.65 E-07 2.43356 Groups Within 146.38333 42 3.48532 Groups Total 307.91111 44 Based on the Excel output, what conclusion is the most appropriate?Based on the Excel output, what conclusion is the most appropriate? 0 For 0.1 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. 0 At the 0.1 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. 0 For 0.1 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 0.1 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. 0 None of the above
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