SOLUTION: What’s wrong? For each of the following statements, explain what is wrong and why. A)The central limit theorem states that for large n, the population mean μ is approximately

Algebra ->  Probability-and-statistics -> SOLUTION: What’s wrong? For each of the following statements, explain what is wrong and why. A)The central limit theorem states that for large n, the population mean μ is approximately      Log On


   

Question 1191448: What’s wrong? For each of the following statements, explain what is wrong and why.
A)The central limit theorem states that for large n, the population mean μ is approximately Normal.
B)For large n, the distribution of observed values will be approximately Normal.
C)For sufficiently large n, the 68 - 95 - 99.7 rule says that x¯ should be within 2σ of μ about 95% of the time.
Answer by Boreal(15235) About Me  (Show Source):
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The sample distribution may be considered normal. The mean is the mean. It is a single figure.
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The distribution of observed values is not what is normal but the normalized values. The means of samples of the same size taken from the distribution will have a normal distribution with large enough n.
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The sample sd of sample=n is sigma/sqrt(n).
The sample means of all the samples of a given n have a mean which is mu and a sd which is sigma/sqrt(n)