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Comparing two population variances

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If a random sample of 5 observations from one population results in a standard deviation of 12 and the other random sample of 7 observations results in a standard deviation of 7, with a significance level of .01 is there a variance in the first population.
Looking to see how to layout work in this situation. And how to compare to the hypotheses.

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Data summary:

Sample # 1:
n = 5
Variance = 12^2 = 144

Sample # 2:
n = 7
Variance = 7^2 = 49

Decide the distribution to use: To compare two variances, an F-Distribution is used.

Step 1: State the ...

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