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The Toronto Pet Food and Supplies Delivery company has a business objective of expanding its product line beyond its current Chicken Liver and Kidney
The Toronto Pet Food and Supplies Delivery company has a business objective of expanding its product line beyond its current Chicken Liver and Kidney cat food. The company developed two new products, one based on Shrimp 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 60 cats was selected at the Toronto Feral Cat Coalition. A random selection of twelve cats were assigned to each of the five products being tested. Each of the cats was then presented with 3.5 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 9-minute interval that began when the filled dish was presented. The results of this experiment are given below. Chicken Liver Kidney Shrimp Salmon Beef 2.68 3.21 2.94 3.33 2.87 3.25 2.95 2.99 3.31 2.56 3.45 3.32 2.66 3.20 1 2.62 3.38 3.25 2.70 3.50 3.12 3.33 3.07 2.98 2.76 2.51 3.15 2.62 3.27 2.72 2.97 3.47 2.54 2.98 3.11 2.67 3.12 3.28 3.05 3.30 3.05 2.78 3.07 2.58 3.16 2.87 2.99 3.27 2.92 3.04 2.93 3.24 3.50 2.76 2.92 2.51 2.84 2.75 3.25 2.66 3.10 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Chicken 12 37.68 3.140 0.070455 Liver Kidney 12 36.83 3.069 0.089427 Shrimp 12 35.08 2.923 0.047079 Salmon 12 37.01 3.084 0.072481 Beef 12 33.78 2.815 0.052991 ANOVA Source of SS df MS F P-value F crit Variation Between 0.85644 4 0.214111 3.22037 0.019077 3.680897 Groups Within 3.65675 55 0.066486 Groups Total 4.51319 59 Based on the Excel output, does there appear to be a difference between the means of the five groups at a 1% significance level? (a) State the null and alternative hypotheses, and identify which one is the claim. Ho: Select an answer H1: Select an answer Which one is the claim? Ho OH For part (b), round your answer to 6 decimal places. (b) What is the test P-value that should be used in your hypothesis test? (c) is the null hypothesis rejected? O Yes ONO (d) is the claim supported? Yes, at the 1% level of significance there is enough evidence to conclude that there is a difference in the mean amount of food eaten among the various products. No, at the 1% level of significance there is not enough evidence to conclude that there is a difference in the mean amount of food eaten among the various products.
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