Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Question
Chapter 8.2, Problem 2CS
a.
To determine
To identify: The claim and state
b.
To determine
To find: The critical value and rejection region with
c.
To determine
To find: The standardized test statistic t.
d.
To determine
To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of
e.
To determine
To interpret: The decision in the context of the original claim.
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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 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).
Treatment
Group
Healthy
Tasty
5 8 7
Hunger Rating
No Snack 3 4
4
4 1 4 2
7 3
6
2
5 6 5 5
4 7
5
2
3
4
6
4
4
Sample
Mean
5.6667
3.4444
4.2222
Sample…
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).
TreatmentGroup
Hunger Rating
SampleMean
SampleStandardDeviation
Healthy
5
8
7
4
7
3
4
7
6
5.6667
1.7321
Tasty
4
1
5
2
6
2
5
3
4
3.5556…
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.)…
Chapter 8 Solutions
Elementary Statistics: Picturing the World (7th Edition)
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