Question

Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago.

Weekly Sales Store

store 1	Store 2	Store 3	store 4
102	97	89	100
106	77	91	116
105	82	75	87
115	80	106	102
112	101	94

100

Find null and alternative hypotheses, critical value, test statistic and make a definitive conclusion statement.

Answer 1

using excel data analysis tool for one factor anova, following o/p Is obtained,

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
store1	5	540	108	28.5
store2	5	437	87.4	117.3
store3	5	455	91.00	123.50
store4	5	505	101.00	106.00
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1325.35	3	441.78	4.71	0.015	3.239
Within Groups	1501.20	16	93.82
Total	2826.55	19

Ho: µ1=µ2=µ3=µ4
H1: not all means are equal

critical value, Fo = 3.239 [α=0.05,df1 = 3,df2=16 ]

F-stat=4.71

f-stat > f-critical, reject Ho

so, there is enough evidence that means of at least two stores are different at α=0.05