A random sample of size 1000 is drawn from a highly LEFT skewed distribution wit

Question

A random sample of size 1000 is drawn from a highly LEFT skewed distribution with mean 3 and standard deviation 2. Which statement is correct? The average will be almost normalily distributed with mean 3 and standard error s.e1000 The average will be normally distributed with mean 3 and standard error s.e» 2- 1000 O The average will have a left skewed distributed with mean 3 and standard error s.e-2 The average will be close to normally distributed with unknown mean and standard errors,e 1000 O The average will have a left skewed distributed with mean 3 and standard error s.e-y1000

Explanation / Answer

According the central limit theorem, when sample size n is large, the sampling distribution of sample mean (average) Xbar is approximately normal.

The average will be almost normally distributed with mean 3 and standard error s. e=2/sqrt(1000)

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