suppose a researcher is interested determining whether on average driving times on the major tra

1. The level of significance is 0.02.

Question

Suppose a researcher is interested in determining whether, on average, driving times on the major traffic routes are approximately the same. The following data is randomly collected from three major traffic routes. The entries in the table are driving times in minutes on these routes. Route 1 Route 2 Route 3 45 39 41 42 40 40 46 39 41 43 40 42 43 39 43 43 41 40 43 38 40 48 41 45 39 39 43 40 40 46 41 42 40 40 40 46 41 46 41 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. For example, 1.65E-07 means 1.65x10^-7 or 0.000000165. ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Route 1 10 441 44.100 3.433333 Route 2 15 599 39.933 3.495238 Route 3 20 833 41.650 3.502632 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 104.19444 2 52.09722 14.9476 0.00001 4.30012 Within Groups 146.38333 42 3.48532 Total 250.57778 44 Based on the Excel output, what conclusion can the researcher arrive at?

          Suppose a researcher is interested in determining whether, on average, driving times on the major traffic routes are approximately the same. The following data is randomly collected from three major traffic routes. The entries in the table are driving times in minutes on these routes.

Route 1   Route 2   Route 3
45        39        41
42        40        40
46        39        41
43        40        42
43        39        43
43        41        40
43        38        40
48        41        45
39        39        43
40        40        46
41        42        40
40        40        46
41        46        41

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. For example, 1.65E-07 means 1.65x10^-7 or 0.000000165.

ANOVA: Single Factor

SUMMARY
Groups   Count   Sum   Average   Variance
Route 1  10      441   44.100    3.433333
Route 2  15      599   39.933    3.495238
Route 3  20      833   41.650    3.502632

ANOVA
Source of Variation   SS          df   MS         F        P-value   F crit
Between Groups       104.19444   2    52.09722   14.9476  0.00001   4.30012
Within Groups        146.38333   42   3.48532
Total                250.57778   44

Based on the Excel output, what conclusion can the researcher arrive at?

Added by John M.

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