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If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?

A researcher administers a treatment to a sample of participants selected from a population with ยต = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?
 
1. a sample mean near 80 with a = .05 
2. a sample mean near 80 with a = .01
3. a sample mean much different than 80 with a= 0.5 
4. a sample mean much different than 80 with a= .01 
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Answer 4  (under routing circumstances, see below).  I think the "a" (with different values, 0.05, etc.) is actually, "sigma", the population standard deviation.  When sigma is the smallest of the given ones,  a slight deviation in the sample mean from the given population mean 80 will be yield a large test statistic because sigma appears in the denominator.
 
Of course, the question becomes totally ill-posed and irrelevant if, in the question itself, the "hypothesis test used to evaluate the effect of the treatment does NOT depend of sigma"!  (There are such, possibly highly inefficient and unreasonable , tests).
 
D.V. G.

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