A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular f

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A consumer preference study compares the effects of three
different bottle designs (A, B,
and C) on sales of a popular fabric softener. A
completely randomized design is employed. Specifically, 15
supermarkets of equal sales potential are selected, and 5 of these
supermarkets are randomly assigned to each bottle design. The
number of bottles sold in 24 hours at each supermarket is recorded.
The data obtained are displayed in the following table.
Complete the table above:
Complete the table above.
1. Find the overall Mean =

; Total sample size N =
2. Set up the appropriate hypothesis to test for the above
problem
H0:
HA:
3. Calculate the following:
SST =
; MST =
df2 =
; MSE =
5. Find the value of the F-statistic:
6. Find the critical F-value at the 5% level using df1 and df2:
F0.05 =
7. Determine whether to Accept or Reject the H0.
8. What can you conclude from the above test (explain)? Are the
mean sales significantly different?.