EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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A pet food company has a business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic beef-based product sold in a supermarket chain. For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the five products being tested. Each of the cats was then presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute time interval that began when the filled dish was presented. The results of this experiment are summarized in the following table:
Kidney
Shrimp
Chicken
Liver
Salmon
Beef
2.37
2.26…
The Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat
food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. The
company conducted an experiment to compare the two new products with its two existing ones, as well as a generic
Kidney-based product sold in a supermarket chain. For the experiment, a sample of 40 cats was selected at the Toronto Cat
Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of
the cats was then presented with 5 ounces of the selected food in a dish at feeding time. The researchers defined the
variable to be measured as the number of ounces of food that the cat consumed within a 10-minute interval that began
when the filled dish was presented. The results of this experiment are given below.
Beef
4.79
4.10
4.98
4.18
4.32
Salmon
4.86
4.90
4.76
4.86
4.86
4.69
4.46
4.88
SUMMARY
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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 without blocking to test whether there is evidence of a significant
difference in mean sales of different package designs. Use alpha = 0.01.
What are the mean squares for error? Please provide your answer to the nearest two decimal places.
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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 without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not…arrow_forwardA 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 sums of squares for Blocks? Provide your answer to the nearest 2 decimal places.arrow_forwardA 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 without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. the p-value associated with the observed test statistic? Please provide your answer to the nearest fou decimal places.arrow_forward
- 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?arrow_forwardA 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 without blocking to test whether there is evidence of a significant difference in me sales different packa designs. Use alpha = 0.01. What are the sums of squares for treatments? Please provide your answer to the nearest two decimal places.arrow_forwardA 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 mean squares for Treatments? Provide your answer to the nearest 2 decimal places.arrow_forward
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