A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp cat foods. The company conducted an experiment to compare its two existing products with three other products (chicken liver, salmon, and beef) 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 for 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. At the 0.05 level of significance, is there evidence of a difference in the mean amount of food eaten among the various products? b. If appropriate, which products appear to differ significantly in the mean amount of food eaten? c. What should the pet food company conclude? Fully describe the pet food company’s options with respect to the products.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp cat foods. The company conducted an experiment to compare its two existing products with three other products (chicken liver, salmon, and beef) 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 for 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. At the 0.05 level of significance, is there evidence of a difference in the mean amount of food
eaten among the various products?
b. If appropriate, which products appear to differ significantly in the mean amount of food
eaten?
c. What should the pet food company conclude? Fully describe the pet food company’s options
with respect to the products.

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