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
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
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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

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
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