question 7 and 11

\fSuppose a researcher is interested determining whether on average, driving times on the major traffic routes are approximately the same. The following data are randomly collected from three major traffic routes. The entries in the table are drivings times in minutes on the these routes. Route 1 Route 2 Route 3 46 42 43 45 42 46 46 43 46 48 49 45 49 42 44 46 42 43 46 42 44 46 44 49 51 42 43 48 43 43 43 46 41 44 44 46 43 43 42 44 44 45 43 43 49 A One-Way 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, 1.658-07 means 1.65x107 or 0.000000165. ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Route 10 471 47.100 3.433333 Route 2 15 644 42.933 3.495238 3.502632 Route 3 20 893 44.650 ANOVA MacBook Air DI F3 F4 F5 - F6 44 F7 F8 F9 F1 F2 @ # $ % & 5 8 N 3Route 2 15 644 42.933 3.495238 Route 3 20 893 44.650 3.502632 ANOVA Source of SS of MS F P-value F crit Variation Between 104.19444 2 Groups 52.09722 14.9476 0.000013 2.43356 Within Groups 146.38333 42 3.48532 Total 250.57778 44 Based on the Excel output, what conclusion can the researcher arrive? 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. 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. For 0.1 level of significance the ANOVA test is unable to give 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. None of the above