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00 8 Course Hero Content / Statistics for Business + ideas.humber.ca/assess2/?cid=1017&aid=31037#/skip/1 The Global Pet Foods company has a business objective of expanding its product
00 8 Course Hero Content / Statistics for Business + ideas.humber.ca/assess2/?cid=1017&aid=31037#/skip/1 The Global Pet Foods company has a business objective of expanding its product line beyond its current Salmon and Chicken Liver cat food. The company developed two new products, one based on Shrimp 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 Kidney-based product sold in a supermarket chain. For the experiment, a sample of 50 cats was selected at the Annex Cat Rescue. A random selection of ten cats were 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 8-minute interval that began when the filled dish was presented. The results of this experiment are given below. h 59mins x Salmon Chicken Liver Shrimp Beef Kidney 2.57 2.30 2.86 2.71 2.81 2.32 2.53 2.16 2.48 2.00 2.39 2.82 2.20 2.34 2.45 2.13 2.62 2.84 2.18 2.10 2.16 2.29 2.90 2.52 2.36 2.10 2.07 2.78 2.42 2.02 2.10 2.63 2.97 2.38 2.82 2.39 2.85 2.75 2.01 2.01 2.74 2.52 2.69 2.86 2.74 2.39 2.08 2.96 2.92 2.24 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor Q Search H ENG UK 12:15 AM 4/9/2023 1 8 00 Course Hero Content / Statistics for Business + ideas.humber.ca/assess2/?cid=1017&aid=31037#/skip/1 ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Salmon 10 23.29 2.329 0.045699 Chicken 10 24.71 2.471 0.077166 Liver Shrimp 10 27.11 2.711 0.086121 Beef 10 24.82 2.482 0.081840 Kidney 10 23.55 2.355 0.112894 ANOVA Source of SS df MS F P-value F crit Variation Between 0.91331 4 0.228328 2.82780 0.035547 2.578739 Groups Within Groups Total 3.63348 45 0.080744 4.54679 49 Based on the Excel output, does there appear to be a difference between the means of the five groups at a 5% significance level? Q Search H h 59mins x ^ ENG UK 12:15 AM 4/9/2023 1 00 8 Course Hero Content / Statistics for Business + C ideas.humber.ca/assess2/?cid=1017&aid=31037#/skip/1 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. Ho: Select an answer H: Select an answer Which one is the claim? Ho O H h 59mins x 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? Yes O No (d) Is the claim supported? Q Search H ^ ENG UK 12:15 AM 4/9/2023 1 8 00 Course Hero Content / Statistics for Business + ideas.humber.ca/assess2/?cid=1017&aid=31037#/skip/1 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? Yes O No (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. Question Help: Message instructor Add Work Check Answer T Q Search H h 59mins x ENG UK 12:15 AM 4/9/2023 1
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