Question
In: Statistics and Probability
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
a)
| 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
b)
as null hypothesis is not rejected ; we are not required to do further tests
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