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) Variable Weight Loss Diet Sample Size Mean StDev A 2.883 1.507 B 3.026 2.523 C 5.148 2.396 24 27 27 Source DF Adj SS Adj MS F-Value Diet 84.88 42.438 8.67 Error 4.894 Total 367.01 77 451.89 d. State your conclusion for the overall test. A 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. Test Statistic= 8,67 Boxplot of Weight Loss B Diet we reject the nul hypothesis с Numerator Degrees of Freedom = 2 Denominator Degrees of Freedom =_ p-value = 0.0004 =75 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
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) Variable Weight Loss Diet Sample Size Mean StDev A 2.883 1.507 B 3.026 2.523 C 5.148 2.396 24 27 27 Source DF Adj SS Adj MS F-Value Diet 84.88 42.438 8.67 Error 4.894 Total 367.01 77 451.89 d. State your conclusion for the overall test. A 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. Test Statistic= 8,67 Boxplot of Weight Loss B Diet we reject the nul hypothesis с Numerator Degrees of Freedom = 2 Denominator Degrees of Freedom =_ p-value = 0.0004 =75 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I need help with A and B
Transcribed Image Text:2. Researchers wanted to compare the effectiveness of three diet plans. 78 subjects were randomly assigned to
a. Define the parameters and state the hypotheses.
Diet A, Diet B, or Diet C. After 6 weeks on the diet, the amount of weight lost (in kilograms) was recorded.
C.
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)
Variable
Weight Loss
24
27
Diet Sample Size Mean StDev
A
2.883
1.507
3.026 2.523
B
с
27
5.148 2.396
8.67
Source DF Adj SS Adj MS F-Value
42.438
Diet
4.894
84.88
367.01
77 451.89
Error
Total
10
d. State your conclusion for the overall test.
Weight Loss
0
-2
A
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.
Test Statistic = 3,67
Boxplot of Weight Loss
we reject the null hypothesis
B
Diet
C
Numerator Degrees of Freedom
Denominator Degrees of Freedom = 75
p-value = 0.0004
=
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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