Statistics

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You are interested in estimating the mean of a population. you plan to take a random sample from the population and use the samples mean as an estimate of population mean.

Assuming that the population from which you select your sample is normal, which of the statements about the mean are true?



a. its expected value (mean) is equal to the value of the population mean.

b. It follows a normal distribution only for sufficeiently large samples sizes.

c. It follows a normal distribution for any sample size.

d. The variance of its sampling distribution is equal to the population variance.

e. Its expected value is equal to the value of the population mean divided by the sample size.

f. The variance of its sampling distribution is equal to the variance of the population divided by the sample size.

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