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If the sample deviation for the one sample that you happen to take exceeds the tolerable population deviation rate, should we rely on the controls?

If the sample deviation for the one sample that you happen to take exceeds the tolerable population deviation rate, should we rely on the controls? Note that this question asks: what if you took just one sample of 100 observations.

If the sample deviation rate for the one sample that you happen to take is lower than the tolerable population deviation rate, should we rely on the controls?

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