(a)Do these data provide evidence that the mean hunger rating differs for at least two of the treatments ("healthy" snack, "tasty" snack, no snack)? Test the relevant hypotheses using a significance level of 0.05. Find the test statistic. (Round your test statistic to two decimal places.) F =  find the P-value. (Round your answer to four decimal places.) P-value =

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(a)Do these data provide evidence that the mean hunger rating differs for at least two of the treatments ("healthy" snack, "tasty" snack, no snack)? Test the relevant hypotheses using a significance level of 0.05.
Find the test statistic. (Round your test statistic to two decimal places.)
F = 
find the P-value. (Round your answer to four decimal places.)
P-value = 
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 described 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).
Sample
Mean
Sample
Standard
Deviation
Treatment
Hunger Rating
Group
Healthy
8
7
4
7
4
7
6
5.6667
1.7321
Tasty
1
4
2
3
4
3.4444
1.5899
No Snack
3
4
5
6.
2
4
4
4.3333
1.3229
Overall mean = 4.4815
3.
Transcribed Image Text: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 described 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). Sample Mean Sample Standard Deviation Treatment Hunger Rating Group Healthy 8 7 4 7 4 7 6 5.6667 1.7321 Tasty 1 4 2 3 4 3.4444 1.5899 No Snack 3 4 5 6. 2 4 4 4.3333 1.3229 Overall mean = 4.4815 3.
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