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Use the F distribution table to find the critical value F0=

Use the F distribution table to find the critical value F0=

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Use the F distribution table to find the critical value F0=

Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance level of 0.01 Ho: All population means are equal Ha: At least one population mean is different from the others (claim) Round all values to 2 decimal places SS df MS Between 28.44 4 7.11 1.96 Within 54.33 15 3.62 TOTAL 82.77 19 One Way Analysis of Variance (ANOVA) ANOVA Table Sum of Squares SS Degrees of Mean of F-Test Freedom df Squares MS Statistic MSB MSw SS df = dfy =k – 1 Between SS = MS dfe (Numerator) d fw = dfp -N-k SSw d fw Within S. (x – x. ) MSw (Denominator) df = dfs + dfw Total SS = SS, + SS Definitions SS df Mean of each group Sum of Squares between groups Degrees of Freedom between groups Grand Mean: Mean of all data points SS Sum of Squares within each group Degrees of Freedom within each group
Transcribed Image Text:Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance level of 0.01 Ho: All population means are equal Ha: At least one population mean is different from the others (claim) Round all values to 2 decimal places SS df MS Between 28.44 4 7.11 1.96 Within 54.33 15 3.62 TOTAL 82.77 19 One Way Analysis of Variance (ANOVA) ANOVA Table Sum of Squares SS Degrees of Mean of F-Test Freedom df Squares MS Statistic MSB MSw SS df = dfy =k – 1 Between SS = MS dfe (Numerator) d fw = dfp -N-k SSw d fw Within S. (x – x. ) MSw (Denominator) df = dfs + dfw Total SS = SS, + SS Definitions SS df Mean of each group Sum of Squares between groups Degrees of Freedom between groups Grand Mean: Mean of all data points SS Sum of Squares within each group Degrees of Freedom within each group
Expert Solution
Step 1

We have given that 

Level of significance =alpha =0.01

df1=4 ,df2=15

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