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In Order to Test to See If There Is Any  Method I  Method II  Method III 182170162170192166179190\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}

question 115

Essay

In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected. Please note that the sample sizes are not equal.)
 Method I  Method II  Method III 182170162170192166179190\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}
a. Compute .
b. At the α = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. Use both the critical and p-value approaches.


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