Question 974569: the population of current statistics student has ages with mean u and standard deviation o. samples of statistic students are randomly selected so that there are exactly 41 students in each sample. for each sample the mean age is computed. What does central limit theorem tell us about the distribution of those mean ages?
A. Because n>30, the sampling dist of the mean ages can be approximated by a normal dist with a mean u and a SD o/sqrt 41
B. Because n>30, the sampling dist of mean ages can be approx. by a normal dist with mean u and SD o
C. Because n>30, the sampling dist of the mean ages is precisely a normal dist with mean u and sd o/sqrt41
D. Because n>30, the central limit theorem does not apply
I want to say the answer is A
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the population of current statistics student has ages with mean u and standard deviation o. samples of statistic students are randomly selected so that there are exactly 41 students in each sample. for each sample the mean age is computed. What does central limit theorem tell us about the distribution of those mean ages?
A. Because n>30, the sampling dist of the mean ages can be approximated by a normal dist with a mean u and a SD o/sqrt 41
B. Because n>30, the sampling dist of mean ages can be approx. by a normal dist with mean u and SD o
C. Because n>30, the sampling dist of the mean ages is precisely a normal dist with mean u and sd o/sqrt41
D. Because n>30, the central limit theorem does not apply
Ans: A
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Cheers,
Stan H.
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