Question

A government aviation organization would like to determine if the average number of minutes that a plane departs late differs among airports in three major cities. The accompanying data were collected from randomly selected flights and indicate the number of minutes that each plane was behind schedule at its departure. Complete parts a and b. Perform a​ one-way ANOVA using α=0.05 to determine if there is a difference in the average lateness of the flights from these three airports.

City1- 13,0,28,34,13

City2- 7,18,0,9,13

City3- 34,10,42,50,30

a) Determine the appropriate test statistic. ​(Round to two decimal places as​ needed.)

b) Determine the​ p-value. (Round to three decimal places as​ needed.)

Answer 1

using excel>data>data analysis>ANOVA single factor

we have

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
city1	5	88	17.6	182.3
city2	5	47	9.4	45.3
city 3	5	166	33.2	227.2
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1461.733	2	730.8667	4.82102	0.02906	3.885294
Within Groups	1819.2	12	151.6
Total	3280.933	14

a) the appropriate test statistic is 4.82

b) the​ p-value 0.029