Question

A chain restaurant operates locations in Evans, Martinez, and Augusta (2 locations), and the chain wants to know if there are differences in the mean number of lunch customers at any of their stores. Data for five days at each location is below.

Evans	Martinez	AugustaA	AugustaB
84	69	73	94
47	71	85	71
59	57	96	95
74	65	75	85
77	88	82	101

Carry out an ANOVA to test if there are any significant differences in lunch traffic between the four locations. Use ? = .05 to make your conclusion. Then, if there are potentially some differences among the four locations, carry out t- tests using a suitable corrected alpha to see which

locations (if any!) appear significantly different.

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Evans	5	341	68.2	223.7
Martinez	5	350	70	130
AugustaA	5	411	82.2	83.7
AugustaB	5	446	89.2	136.2
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1508.4	3	502.8	3.506276	0.039842	3.238872
Within Groups	2294.4	16	143.4
Total	3802.8	19

p-value = 0.0398 < alpha = 0.05

hence we reject the null hypothesis

there is sufficient evidence that there a re potentially some differences among the four locations