Question

Complete the following ANOVA table. Then determine if there are any differences using alpha = 0.01...

Complete the following ANOVA table. Then determine if there are any differences using alpha = 0.01

Df. Sum Sq. Mean Sq. F value

Tube 4. 0.6596

Error. 25. 2077.23

Total

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Here we want to test the

null hypothesis H0: All tubes are sam

alternate hypothesis Ha: atleast one tube is different from others

since the critical F(0.01,4,25)=4.1774 is more than calculate F=0.0020, so we fail to reject (or accept H0) and conclude that there are no  differences among tubes.

following information has been generated from the given information

Mean_Sq= Sum_Sq/Df

Mean_Sq_Tube=Mean_Sq_Tube/Df_Tube=0.6596/4=0.1649

F=Mean_Sq_Tube/Mean_Sq_Error=0.1649/0.83.0892=0.0020

source Df Sum Sq Mean Sq F value
Tube 4 0.6596 0.1649 0.0020
Error 25 2077.23 83.0892
Total 29 2077.89
0 0
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