You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 10% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 7.2 3.9 5.1 6.4 6 2.6 2.6 2.1 4.1 2.5 5.1 3.2 3.6 4.4 4.5 1.5 2.2 1 3.5 1.7 What is the factor variable? Diet Type What is the response variable? Pounds Lost Test Statistic: P-Value: Decision Rule: Reject the Null OB Ou Did Something Significant Happen? Significance Happened There is oto conclude At least one true average weight loss is different between the diet types.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low
calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control
group. The control group will be told that are participating in a weight-loss study, but will not be following
any particular diet. This is to study the placebo effect, weight-loss from just participating in the study.
At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed
again, and the weight difference is recorded. A positive value represents a weight loss while a negative
value represents a weight gain. Test at 10% significance.
Round answers to 3 decimal places.
Diet Type
Low Calorie
Low Calorie
Low Calorie
Low Calorie
Low Calorie
Low Fat
Low Fat
Low Fat
Low Fat
Low Fat
Low Carb
Low Carb
Low Carb
Low Carb
Low Carb
Control
Control
Control
Control
Control
Pounds Lost
7.2
3.9
5.1
6.4
6
2.6
2.6
2.1
4.1
2.5
5.1
3.2
3.6
4.4
4.5
1.5
2.2
1
3.5
1.7
What is the factor variable? Diet Type
What is the response variable? Pounds Lost
Test Statistic:
P-Value:
Decision Rule: Reject the Null
0°
oº
Did Something Significant Happen? Significance Happened
There is
oto conclude
At least one true average weight loss is different between the diet types.
Transcribed Image Text:You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 10% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 7.2 3.9 5.1 6.4 6 2.6 2.6 2.1 4.1 2.5 5.1 3.2 3.6 4.4 4.5 1.5 2.2 1 3.5 1.7 What is the factor variable? Diet Type What is the response variable? Pounds Lost Test Statistic: P-Value: Decision Rule: Reject the Null 0° oº Did Something Significant Happen? Significance Happened There is oto conclude At least one true average weight loss is different between the diet types.
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