Quaker Oats is contemplating changing the shape of its box from the quaint cylinder presently in use. Different random samples were selected from five stores of similar size in the same region, and one of the candidate boxes was substituted for the cylinder for several days. The following results were obtained for the total number of boxes sold.
Box Shape
Store Pyramid Rectangle Cube
1 110 57 92
2 85 65 81
3 69 73 66
4 97 49 71
5 78 77 70
a. Determine the degrees of freedom for the numerator and denominator
b. Determine the critical value of the test statistic and identify the acceptance and
c. rejection regions using an α = .05 significance level.
d. Determine the treatments and the error sum of square. Using these values find the total sum of squares.
e. Construct the ANOVA table and compute the F value
f. Should Ho that the mean sales are identical regardless of the box shape be accepted or rejected?