Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= Treatment Group Hunger Rating Sample Mean Sample Standard Deviation Healthy 4 8 7 4 6 3 4 7 6 5.4 1.74 Tasty 4 1 4 2 6 2 5 3 4 3.4 1.59 No Snack 3 4 5 6 5 5 2 4 4 4.2 1.20 Overall mean = 4.4

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Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)
F=
P-value=
Treatment
Group
Hunger Rating Sample
Mean
Sample
Standard
Deviation
Healthy 4 8 7 4 6 3 4 7 6 5.4 1.74
Tasty 4 1 4 2 6 2 5 3 4 3.4 1.59
No Snack 3 4 5 6 5 5 2 4 4 4.2 1.20

Overall mean = 4.4

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