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 62 5.1667 46 3.5385 56 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Based on these results, at a 5% level of significance what conclusion can the researchers draw from this experiment?

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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
62
46
56
Average
5.1667
3.5385
4.0000
Variance
1.9697
1.9359
1.3846
df
MS
F
P-value
2 8.730769 4.997146 0.012156
36 1.747151
38
Based on these results, at a 5% level of significance what conclusion can the
researchers draw from this experiment?
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 62 46 56 Average 5.1667 3.5385 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Based on these results, at a 5% level of significance what conclusion can the researchers draw from this experiment?
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