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Hypothesis Testing

To be sure that the various batches of data arriving at the research center were from the same population, the director developed an analysis of variance. The variance among the means was 4.54 and contained three degrees of freedom. The variance within the data was 1.20 and contained 10 degrees of freedom. There were four batches in the analysis, and the director used the 95% reliability level.
State the hypothesis the director was attempting to prove.

Has he proven the hypothesis? Show all calculations....

Solution Preview

So the null hypothesis is that the data all comes from the same sample
The alternative hypothesis is that that the data does not come from the same sample.

Next we have to calculate the f statistic.

Lets recap the data:

variance amongst means - 4.54
3 degrees of freedom

variance within the data is ...

Solution Summary

The solution does a good job of explaining the Hypothesis Testing concepts listed. The solution is well explained and can be easily followed along by anyone with a basic understanding of the topic. Overall, an excellent response to the question being asked.