Solved: What is wrong? Explain what is wrong in each of

Chapter , Problem 5.10

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QUESTION:

What is wrong? Explain what is wrong in each of the following statements. (a) The central limit theorem states that for large n, the population mean m is approximately Normal. (b) For large n, the distribution of observed values will be approximately Normal. (c) For sufficiently large n, the 689599.7 rule says that x should be within m 2s about 95% of the time.

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QUESTION:

What is wrong? Explain what is wrong in each of the following statements. (a) The central limit theorem states that for large n, the population mean m is approximately Normal. (b) For large n, the distribution of observed values will be approximately Normal. (c) For sufficiently large n, the 689599.7 rule says that x should be within m 2s about 95% of the time.

ANSWER:

Step 1 of 3

a)

The statement, "The central limit theorem states that for large , the population mean  is approximately Normal”, is wrong.

This is because in actuality the central limit theorem states that for large  the population mean  is approximately Normal.

Hence, it should be  and not .

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