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For Four Populations, the Population Variances Are Assumed to Be

Question 55

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For four populations, the population variances are assumed to be equal. Random samples from each population provide the following data.  Population  Sample Size  Sample Mean  Sample Variance 1114023.42113521.63113925.24113724.6\begin{array} { c c c c } \text { Population } & \text { Sample Size } & \text { Sample Mean } & \text { Sample Variance } \\1 & 11 & 40 & 23.4 \\2 & 11 & 35 & 21.6 \\3 & 11 & 39 & 25.2 \\4 & 11 & 37 & 24.6\end{array} Using a .05 level of significance, test to see if the means for all four populations are the same.

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