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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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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