A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the degrees of freedom for error?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in
different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the
stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period.
Stores
Design A
Design B
Design C
Design D
1
40
33
37
38
2
45
27
32
40
3
43
31
30
41
4
44
38
40
42
5
56
45
49
42
Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test
further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01.
What are the degrees of freedom for error?
Transcribed Image Text:A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the degrees of freedom for error?
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