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Source of Variation Between Groups Within Groups Total SS 1.31652 1.87716 3.19368 O H₁ df 4 < Previous 35 39 MS 0.329129 0.053633 F 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? 6.13666 P-value 0.000751 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 H₁: Select an answer Which one is the claim: O Ho F crit 3.908241

Source of Variation Between Groups Within Groups Total SS 1.31652 1.87716 3.19368 O H₁ df 4 < Previous 35 39 MS 0.329129 0.053633 F 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? 6.13666 P-value 0.000751 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 H₁: Select an answer Which one is the claim: O Ho F crit 3.908241

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. 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 40 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of the cats was then presented with 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 10-minute interval that began when the filled dish was presented. The results of this experiment are given below. Beef 4.79 4.10 4.98 4.18 4.32 Salmon 4.86 4.90 4.76 4.86 4.86 4.69 4.46 4.88 SUMMARY Groups Beef Salmon Chicken Liver < Previous Count 8 8 Chicken Liver Shrimp 4.42 4.33 4.28 4.78 4.15 4.38 4.08 4.93 4.56 8 4.31 4.12 4.15 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor 4.18 4.27 4.23 Sum Kidney 4.72 4.70 35.62 38.27 34.15 4.90 4.20 4.85 4.77 Average 4.453 4.784 4.269 Variance 0.087507 0.022055 0.015813
Transcribed Image Text:The Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. 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 40 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of the cats was then presented with 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 10-minute interval that began when the filled dish was presented. The results of this experiment are given below. Beef 4.79 4.10 4.98 4.18 4.32 Salmon 4.86 4.90 4.76 4.86 4.86 4.69 4.46 4.88 SUMMARY Groups Beef Salmon Chicken Liver < Previous Count 8 8 Chicken Liver Shrimp 4.42 4.33 4.28 4.78 4.15 4.38 4.08 4.93 4.56 8 4.31 4.12 4.15 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor 4.18 4.27 4.23 Sum Kidney 4.72 4.70 35.62 38.27 34.15 4.90 4.20 4.85 4.77 Average 4.453 4.784 4.269 Variance 0.087507 0.022055 0.015813
The Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. 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 40 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of the cats was then presented with 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 10-minute interval that began when the filled dish was presented. The results of this experiment are given below. Beef 4.79 4.10 4.98 4.18 4.32 Salmon 4.86 4.90 4.76 4.86 4.86 4.69 4.46 4.88 SUMMARY Groups Beef Salmon Chicken Liver < Previous Count 8 8 Chicken Liver Shrimp 4.42 4.33 4.28 4.78 4.15 4.38 4.08 4.93 4.56 8 4.31 4.12 4.15 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor 4.18 4.27 4.23 Sum Kidney 4.72 4.70 35.62 38.27 34.15 4.90 4.20 4.85 4.77 Average 4.453 4.784 4.269 Variance 0.087507 0.022055 0.015813
Transcribed Image Text:The Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. 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 40 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of the cats was then presented with 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 10-minute interval that began when the filled dish was presented. The results of this experiment are given below. Beef 4.79 4.10 4.98 4.18 4.32 Salmon 4.86 4.90 4.76 4.86 4.86 4.69 4.46 4.88 SUMMARY Groups Beef Salmon Chicken Liver < Previous Count 8 8 Chicken Liver Shrimp 4.42 4.33 4.28 4.78 4.15 4.38 4.08 4.93 4.56 8 4.31 4.12 4.15 The researcher used Excel to generate a single factor ANOVA output for the data. The results are shown below. ANOVA: Single Factor 4.18 4.27 4.23 Sum Kidney 4.72 4.70 35.62 38.27 34.15 4.90 4.20 4.85 4.77 Average 4.453 4.784 4.269 Variance 0.087507 0.022055 0.015813
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