The data in the table show the number of pounds of bananas sold per week at...

The data in the table show the number of pounds of bananas sold per week at a grocery store when the banana display was positioned in the produce, milk, and cereal sections of the store.

a) Perform a one-way ANOVA using

alphaαequals=0.05

to determine if there is a difference in the average number of pounds of bananas sold per week in these three locations.

b) If warranted, perform a multiple comparison test to determine which pairs are different using

alphaαequals=0.050

Pounds of Bananas Sold

Produce (1)	Milk (2)	Cereal (3)
30	45	44
49	54	45
47	50	43
40	39	32
	41

Complete the ANOVA summary table below.

Source	Sum of Squares	Degrees of Freedom	Mean Sum of Squares	F
Between
Within
Total

Please help, I am very confused

Solutions

Expert Solution

Source of variation	SS	df	MS	F
between	64.200	2.0000	32.10	0.66
within	485.800	10.0000	48.58
total	550.000	12.0000

as test statistic 0.66 is less then crtiical value =4.10 at 0.05 level and (2,10) degree of freedom ; therefore we fail to reject the null hypothesis

we do not have evidence to conclude that there is a difference in the average number of pounds of bananas sold per week in these three locations

as null hypothesis is not rejected ; we are not required to do further tests

orchestra answered 10 months ago

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