You are interested in estimating the mean of a population. You plan to take a ra

Question

You are interested in estimating the mean of a population. You plan to take a random sample from the population and use the sample's mean as an estimate of the population mean. Assuming that the population from which you select your sample is normal, which of the statements about M are true? Check all that apply. You can assume that the sampling distribution of M is normally distributed for any sample size. The expected value of M is equal to the value of the population mean. The standard deviation of the sampling distribution of M is equal to the population standard deviation. You can only assume that the sampling distribution of M is normally distributed for sufficiently large sample sizes.

Explanation / Answer

following is true

expected value of M is equal to the value of the population mean

you can only assume that the sampling distribution of M is normally distributed for sufficiently large sample sizes

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