Question
5. A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp cat foods. The company conducted
5. 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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