number 11 Od Chain sampling QUESTION 11 10 points The Central Limit Theorem stat

Question

number 11

Od Chain sampling QUESTION 11 10 points The Central Limit Theorem states that the sample sze "n' is noently large, the sampling distribution of the sample means wil be approximately normal, even when the ongina are Oa, False b Not applicable O c. Thue Od. Not appicable QUESTION 12 samples were taken of a stream fow over the course at a year A sample mean of 16 oubic feet per minute otmi was caloulated. The population standard deviation of stream fows is 2 ctm. Calculate the 80% confidence limits (LCL ucLJ. a (559, 1641)

Explanation / Answer

In probability theory, the central limit theorem or defined as CLT also states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value and well-defined variance, will be approximately normally distributed, regardless of the underlying distribution.

Thus the given statement is true that is when n is sufficiently large the central limit theorem states that the sample mean of sampling distribution is approximately normal even when the original distribution is skewed or uniform.

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