In: Statistics and Probability
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

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