Question
In: Statistics and Probability
(60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet 2...
- (60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet 2 and Diet 3. The weights of the subjects are listed as the response variable. The output of the analysis is below.
|
|
Df |
Sum Sq |
Mean Sq |
F value |
Pr(>F) |
|
Response |
1 |
0.943 |
0.9430 |
1.354 |
0.266 |
|
Residuals |
13 |
9.057 |
0.6967 |
-
- What test was conducted?
-
- What was the research question (null and alternative hypothesis in words)?
-
- State the null hypothesis.
-
- State the alternative hypothesis.
- What is the common variance for the diet regimens? What is another name for this common variance?
-
- What is the Between-Group Variance?
-
- What is the Within-Group Variance?
-
- What is the F-Statistic? How was the F-Statistic Calculated?
-
- At the 0.10 alpha level, what is the critical F-Statistic?
-
- State your conclusion in the context of this problem.
-
- Do you see anything in the output that suggests that an error was made in the data entry? If so, what mistake was likely made?
- Do you believe that your results are accurate?
Solutions
Expert Solution
Theory of F statistics test
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we discuss given question 
orchestra answered 2 years agoRelated Solutions
1. (60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet...
1. (60) 15 subjects were assigned randomly to one of
three diet regimens: Diet 1, Diet 2 and Diet 3. The weights of the
subjects are listed as the response variable. The output of the
analysis is below. Df Sum Sq Mean Sq F value Pr(>F) Response 1
0.943 0.9430 1.354 0.266 Residuals 13 9.057 0.6967
a. What test was conducted? b. What was the research
question (null and alternative hypothesis in words)? c. State the
null hypothesis. d. State...
In a study, 272 moderately obese subjects were randomly assigned to one of three diets: low-fat,...
In a study, 272 moderately obese subjects were randomly
assigned to one of three diets: low-fat, restricted-calorie;
Mediterranean, restricted-calorie; or low-carbohydrate,
nonrestricted-calorie. The prediction was that subjects on a
low-carbohydrate diet would lose weight, on the average. After
two years, the mean weight loss was 5.5 kg for the 109 subjects in
the low-carbohydrate group with a standard deviation of 7.0 kg.
The technology output below shows results of a significance test
for testing
Upper H 0 : mu equals...
In a study, 272 moderately obese subjects were randomly assigned to one of three diets: low-fat,...
In a study, 272 moderately obese subjects were randomly
assigned to one of three diets: low-fat, restricted-calorie;
Mediterranean, restricted-calorie; or low-carbohydrate,
nonrestricted-calorie. The prediction was that subjects on a
low-carbohydrate diet would lose weight, on the average. After
two years, the mean weight loss was 5.5 kg for the 109 subjects in
the low-carbohydrate group with a standard deviation of 7.0 kg.
The technology output below shows results of a significance test
for testing
Upper H 0 : mu equals...
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An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were
randomly assigned to one of two groups, called "Sentences" or
"Intentional". Each subject was given a list of 50 words. Subjects
in the "Sentences" group were told to form multiple sentences, each
using at least two words from the list, and to keep forming
sentences until all the words were used at least once. Subjects in
the "Intentional" group were told to spend five minutes memorizing
as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were
randomly assigned to one of two groups, called "Sentences" or
"Intentional". Each subject was given a list of 50 words. Subjects
in the "Sentences" group were told to form multiple sentences, each
using at least two words from the list, and to keep forming
sentences until all the words were used at least once. Subjects in
the "Intentional" group were told to spend five minutes memorizing
as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were
randomly assigned to one of two groups, called "Sentences" or
"Intentional". Each subject was given a list of 50 words. Subjects
in the "Sentences" group were told to form multiple sentences, each
using at least two words from the list, and to keep forming
sentences until all the words were used at least once. Subjects in
the "Intentional" group were told to spend five minutes memorizing
as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were
randomly assigned to one of two groups, called "Sentences" or
"Intentional". Each subject was given a list of 50 words. Subjects
in the "Sentences" group were told to form multiple sentences, each
using at least two words from the list, and to keep forming
sentences until all the words were used at least once. Subjects in
the "Intentional" group were told to spend five minutes memorizing
as many of...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of...
An experiment on memory was performed, in which 16 subjects were
randomly assigned to one of two groups, called "Sentences" or
"Intentional". Each subject was given a list of 50 words. Subjects
in the "Sentences" group were told to form multiple sentences, each
using at least two words from the list, and to keep forming
sentences until all the words were used at least once. Subjects in
the "Intentional" group were told to spend five minutes memorizing
as many of...
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