Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 1CS
How Protein Affects Weight Gain in Overeaters
In a study published in the Journal of the American Medical Association, three groups of 18- to 35-year-old participants overate for an 8-week period. The groups consumed different levels of protein in their diet. The low protein group's diet was 5% protein, the normal protein group’s diet was 15% protein, and the high protein group’s diet was 25% protein. The study found that the low protein group gained considerably less weight than the normal protein group or the high protein group.
You are a scientist working at a health research firm. The firm wants you to replicate the experiment. You conduct a similar experiment over an 8-week period. The results of the experiment are shown below.
EXERCISES
In Exercises 1–3, perform a two-sample t-test to determine whether the mean weight gains of the two indicated studies are different. Assume the populations are
1. Test the weight gains of the low protein group against those in the normal protein group.
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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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