A market research company was investigating shopping experie

A market research company was investigating shopping experience at local grocery stores. Each respondent rated their shopping experience on 0 to 100 point scale, where 0 means very bad experience to 100 means extremely pleasant experience. The number of respondents from Super Fresh, Acme, Giant, and Whole Foods were 8, 7, 6, and 8 respectively. Here is a partial table from Excel output.

a.Complete the ANOVA table   

b.What are your hypotheses for the above analysis of variance?   

c. At 1% level of significance, what conclusion do you reach regarding shopping experience?

A market research company was investigating shopping experience at local grocery stores. Each respondent rated their shopping experience on 0 to 100 point scale, where 0 means very bad experience to 100 means extremely pleasant experience. The number of respondents from Super Fresh, Acme, Giant, and Whole Foods were 8, 7, 6, and 8 respectively. Here is a partial table from Excel output. a.Complete the ANOVA table b.What are your hypotheses for the above analysis of variance? c. At 1% level of significance, what conclusion do you reach regarding shopping experience?

Solution

a.Complete the ANOVA table   

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b.What are your hypotheses for the above analysis of variance?

Null hypothesis: all means are equal

Alternative hypothesis: at least one mean is different.

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c. At 1% level of significance, what conclusion do you reach regarding shopping experience?

Since the p-value is less than 0.01, we reject the null hypothesis.

So we can conclude that at least one mean is different.

	SS	df	MS	F	P-value
Between Groups	1122.35	5-1=4	1122.35/4=280.5875	280.5875/8.812917=31.83821	0
Within Groups	1333.86-1122.35=211.51	28-4=24	211.51/24=8.812917
Total	1333.86	28