A pet food company conducted an experiment to compare five different cat foods.

Question

A pet food company conducted an experiment to compare five different cat foods. A sample of 30 cats from the population at a local animal shelter was selected. Six cats were randomly assigned to each of the five products. Each 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. The results for this experiment are summarized in the accompanying table. Complete (a) through (d) below. Click on the icon to view the results Click on the icon to view a partial table of critical values of F Click on the icon to view a partial table of critical values of the Studentized Range, Q 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? Determine the hypotheses. Choose the correct answer below Number of ounces of food consumed for the various products H1 : Not all are equal H1 : Not all are equal (where j-1,2, .5) (where j-1,2, .6) Kidney Shrimp Chicken 2.26 2.69 2.24 2.46 2.33 2.36 salmon Beef Find the test statistic. FSTAT(Round to two decimal places as needed.) Determine the critical value Fa(Round to two decimal places as needed.) Reach a decision 2.38 2.61 2.32 2.47 2.59 2.61 2.29 2.24 2.42 2.68 2.25 2.58 1.79 1.75 1.84 1.52 1.96 1.18 2.04 1.65 2.26 1.69 1.59 1.32 PrintDone Ho-There is evidence of a difference in the mean amount of food eaten among the various products.

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Hypotheses: Option A is correct.

Test statistic = 28.94

Critical value = 2.76

Reject; sufficient

Column n Mean Std. Dev. Std. Error Kidney 6 2.4966667 0.12643839 0.051618257 Shrimp 6 2.39 0.16661332 0.068019605 Chicken Liver 6 2.41 0.18482424 0.07545418 Salmon 6 1.9133333 0.22957933 0.093725367 Beef 6 1.5183333 0.22551423 0.092065798

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