Question

Four different traffic routes are tested for mean driving time. The entries in the table are the driving times in minutes on the four different routes. At the 0.05 level of significance, are the mean driving times similar regardless of routes? Route 1: 30, 32, 27, 35 Route 2: 28, 36, 35, 71 Route 3: 22, 21, 19, 23 Route 4: 25, 29, 28,35 What is the null hypothesis? What is the alternative hypothesis? What is test statistic? Please answer with two decimal places. What is the p-value? Please answer with two decimal places. What is your conclusion based on the p-value and the level of significance? What is the proper conclusion?

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Route 1	4	124	31	11.33333
Route 2	4	170	42.5	373.6667
Route 3	4	85	21.25	2.916667
Route 4	4	117	29.25	17.58333
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	921.5	3	307.1667	3.030004	0.07107	3.490295
Within Groups	1216.5	12	101.375
Total	2138	15