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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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

2.29

1.79

2.09

2.62

2.69

2.23

2.33

1.87

2.31

2.25

2.41

1.96

1.67

2.47

2.45

2.68

2.05

1.64

2.59

2.34

2.25

2.26

2.16

2.62

2.37

2.17

2.24

1.75

2.34

2.22

2.37

1.96

1.18

2.47

2.56

2.26

1.58

1.92

2.45

2.36

2.45

2.18

1.32

2.32

2.59

2.57

1.93

1.94

 

a. Determine if there is a significant difference in the amount of food eaten based upon the flavor.  (alpha = 0.10)

b. What post-hoc test was used and what advice would you give on production of the flavor of cat food?  Explain your response by providing evidence to support your conclusion. 

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