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
103	95	87	100
105	73	89	117
106	79	74	88
115	78	106	101
114	99	94	100

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 3 decimal places.)

Treatment	Mean	n	Std. Dev
Store 1
Store 2
Store 3
Store 4

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment
Error
Total

(a)	You will need to run the One-Way ANOVA to test the following hypotheses:
	H0: μ1 = μ2 = μ3 = μ4
	H1: Not all the means are equal
	α = 0.05

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

F-value

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

  p-value  

(d)	On the basis of the above-determined values, choose the correct decision from below.
	Fail to reject the null hypothesis. Reject the null hypothesis.

Answer 1

SSbetween = SStotal - SSwithin​ = 3346.55 - 1610.8

SSbetween = 1735.75

Based on above calculation following are answers for each questions

Analysis of Variance Summary Table

Source	Sum of Squares	Degrees of Freedom (df)	Mean Square	F test value	P-value
Between	SSB = 1735.750	k - 1 = 3	MSB = 578.583	F = 5.747	0.0073
Within (error)	SSW = 1610.8	N - k = 16	MSW = 100.675
Total	3346.550	19

F-value = 5.75

P-value = 0.0073 (Obtained using online calculator for F(3,16) = 5.747. Screenshot attached)

Since p-value = 0.0073 < α = 0.05, reject the null hypothesis.