Question

Suppose a random sample of 900 measurements is taken from an unknown population. The average of...

Suppose a random sample of 900 measurements is taken from an unknown population. The average of these measurements is an approximate normal random variable with a mean that is

equal to the mean of the population.

equal to the standard deviation divided by 30.

equal to the population mean divided by 900.

always less than the population mean.

equal to the population mean divided by 30.

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Answer #1

According to the central limit theorem, if we draw large sample (n>30) from population with mean and variance , then the sampling distribution of sample mean is approximately normally distributed with mean and variance .


Therefore, the average of these measurements is an approximate normal random variable with a mean that is "equal to the mean of the population ."

Answer is (a)

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