Question

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

Weekly Sales
Store 1	Store 2	Store 3	Store 4
102	98	89	105
105	73	92	112
104	83	74	86
112	79	107	103
111	104	93	100

  Click here for the Excel Data File

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)

Treatment	Mean	n	Std. Dev
Store 1	Not attempted	Not attempted	Not attempted
Store 2	Not attempted	Not attempted	Not attempted
Store 3	Not attempted	Not attempted	Not attempted
Store 4	Not attempted	Not attempted	Not attempted
Total	Not attempted	Not attempted	Not attempted

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment	Not attempted	Not attempted	Not attempted	Not attempted	Not attempted
Error	Not attempted	Not attempted	Not attempted
Total	Not attempted	Not attempted

(a) Based on the given hypotheses choose the correct option.

H₀: μ₁ = μ₂ = μ₃ = μ₄
H₁: Not all the means are equal

α = 0.05

• Reject the null hypothesis if F > 3.24

• Reject the null hypothesis if F < 3.24

(b) Determine the value of F. (Round your answer to 2 decimal places.)

F-value             Not attempted

(c) On the basis of the above-determined values, choose the correct decision from below.

• Fail to reject the null hypothesis.

• Reject the null hypothesis.

(d) Determine the p-value. (Round your answer to 4 decimal places.)

p-value             

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	Std. Dev
Store 1	5	534	106.8	19.7	4.44
Store 2	5	437	87.4	171.3	13.09
Store 3	5	455	91	138.5	11.77
Store 4	5	506	101.2	91.7	9.58
ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	1206	3	402	3.82	0.0308
Within Groups	1684.8	16	105.3
Total	2890.8	19

(a) Based on the given hypotheses choose the correct option.

H0: μ1 = μ2 = μ3 = μ4

H1: Not all the means are equal

α = 0.05

Reject the null hypothesis if F > 3.24

(b) F-value = 3.82

(c) Conclusion:

Reject the null hypothesis.

(d) p-value = 0.0308