2. Researchers wanted to compare the effectiveness of three diet plans. 78 subjects were randomly assigned to Diet A, Diet B, or Diet C. After 6 weeks on the diet, the amount of weight lost (in kilograms) was recorded. a. Define the parameters and state the hypotheses. b. Below is the summary statistics and boxplots for this study. Are the conditions for using ANOVA met? LIST each condition, then specifically state how it is met or not met (showing all calculations where necessary) Boxplot of Weight Loss Variable Weight Loss Diet Sample Size Mean StDev A 24 2.883 1.507 B 27 3.026 2.523 27 5.148 2.396 B Diet c. Below is the Analysis of Variance. Identify the test statistic and compute the degrees of freedom. Then, use the theoretical F distribution in StatKey to find the p-value. Include a screenshot of the distribution curve showing the p-value with your homework submission. Source DF Adj SS Adj MS F-Value Test Statistic = Diet 84.88 42.438 8.67 Numerator Degrees of Freedom =, Error 367.01 4.894 Total 77 451.89 Denominator Degrees of Freedom = p-value = Weight Loss

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Please see attached :)

2. Researchers wanted to compare the effectiveness of three diet plans. 78 subjects were randomly assigned to
Diet A, Diet B, or Diet C. After 6 weeks on the diet, the amount of weight lost (in kilograms) was recorded.
a. Define the parameters and state the hypotheses.
b. Below is the summary statistics and boxplots for
this study. Are the conditions for using ANOVA
met? LIST each condition, then specifically state
how it is met or not met (showing all calculations
where necessary)
Boxplot of Weight Loss
10
Variable
Weight Loss
Diet Sample Size Mean StDev
A
24
2.883
1.507
0-
в
27
3.026 2.523
27
5.148 2.396
2
A
Diet
c. Below is the Analysis of Variance. Identify the test statistic and compute the degrees of freedom. Then,
use the theoretical F distribution in StatKey to find the p-value. Include a screenshot of the
distribution curve showing the p-value with your homework submission.
Source DF Adj sS Adj MS F-Value
Test Statistic = .
Diet
84.88 42.438
8.67
Numerator Degrees of Freedom =
Error
367.01
4.894
Total
77 451.89
Denominator Degrees of Freedom =
p-value =
Weight Loss
Transcribed Image Text:2. Researchers wanted to compare the effectiveness of three diet plans. 78 subjects were randomly assigned to Diet A, Diet B, or Diet C. After 6 weeks on the diet, the amount of weight lost (in kilograms) was recorded. a. Define the parameters and state the hypotheses. b. Below is the summary statistics and boxplots for this study. Are the conditions for using ANOVA met? LIST each condition, then specifically state how it is met or not met (showing all calculations where necessary) Boxplot of Weight Loss 10 Variable Weight Loss Diet Sample Size Mean StDev A 24 2.883 1.507 0- в 27 3.026 2.523 27 5.148 2.396 2 A Diet c. Below is the Analysis of Variance. Identify the test statistic and compute the degrees of freedom. Then, use the theoretical F distribution in StatKey to find the p-value. Include a screenshot of the distribution curve showing the p-value with your homework submission. Source DF Adj sS Adj MS F-Value Test Statistic = . Diet 84.88 42.438 8.67 Numerator Degrees of Freedom = Error 367.01 4.894 Total 77 451.89 Denominator Degrees of Freedom = p-value = Weight Loss
d. State your conclusion for the overall test.
e. Construct a confidence interval for the mean for each group, using the MSE. State your follow-up
conclusion based on the confidence intervals. SHOW ALL WORK
Transcribed Image Text:d. State your conclusion for the overall test. e. Construct a confidence interval for the mean for each group, using the MSE. State your follow-up conclusion based on the confidence intervals. SHOW ALL WORK
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman