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An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average Variance 62 5.1667 1.9697 46 3.5385 1.9359 56 4.0000 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer. AV

An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average Variance 62 5.1667 1.9697 46 3.5385 1.9359 56 4.0000 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer. AV

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average Variance 62 5.1667 1.9697 46 3.5385 1.9359 56 4.0000 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer. AV
Transcribed Image Text:An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average Variance 62 5.1667 1.9697 46 3.5385 1.9359 56 4.0000 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer. AV
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