package 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 O 0.0642 and 0,0435 O 0.0642 and 0.0038 O 0,0435 and 0,0028 0.0038 and 0.0028 45 0.0028 and 0.0038 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 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. 42 What are p-values to determine whether all treatment means and all block means are equal, respectively?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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
O 0.0642 and 0.0435
2
0.0642 and 0.0038
O 0,0435 and 0.0028
0.0038 and 0.0028
45
0.0028 and 0.0038
27
32
40
3
43
31
30
41
4
44
38
40
42
5
56
45
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.
49
What are p-values to determine whether all treatment means and all block means are equal,
respectively?
42
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 O 0.0642 and 0.0435 2 0.0642 and 0.0038 O 0,0435 and 0.0028 0.0038 and 0.0028 45 0.0028 and 0.0038 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 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. 49 What are p-values to determine whether all treatment means and all block means are equal, respectively? 42
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