Question 2

The Best Pet Food company has a business objective of expanding its product line beyond its current Kidney and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Beef. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic Shrimp-based product sold in a supermarket chain. For the experiment, a sample of 55 cats was selected at the Toronto Humane Society. A random selection of eleven cats were assigned to each of the five products being tested. Each of the cats was then presented with 4.5 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 5-minute interval that began when the filled dish was presented. The results of this experiment are given below. Kidney Salmon Chicken Liver -m 3.62 3.65 4.01 4.28 3.63 3.66 4.41 4.01 4.06 4.35 3.60 4.19 3.91 4.08 4.12 4.40 3.92 3.95 4.31 3.70 3.59 3.91 4.11 4.08 3.99 3.58 4.13 3.74 4.16 3.95 3.86 3.56 4.07 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 Kidney 11 44.78 4.071 0.081769 Salmon 11 42.00 3.818 0.056636 Chicken 11 43.81 3.983 Liver 0.036782 Beef 11 45.66 4. 151 0.075589 Shrimp 11 43.67 3.970 0. 131320 ANOVA Source of SS of MS F P-value F crit Variation Between 0.68252 4 Groups 0. 170630 2.23281 0.078675 2.557179 Within 3.82096 50 Groups 0.076419 Total 4.50348 54 Based on the Excel output, does there appear to be a difference between the means of the five groups at a 5% significance level?(a) State the null and alternative hypotheses, and identify which one is the claim. H0: Select an answer a H1: Select an answer Which one is the claim? \"HI NHO 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? " No Yes (d) Is the claim supported? " Yes, at the 5% 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 5% 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