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 9. are true? Check all that apply. It follows a uniform distribution for any sample size. It follows a normal distribution only for sufficiently large sample sizes. It follows a normal distribution for any sample size. Its expected value is equal to the value of the population mean. When the population is infinite, the standard deviation of its sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size. The expected value of the sampling distribution is equal to the value of the population mean divided by the sample size. Assume that the population from which you select your sample is not normal. Which of the statements about x are true? Check all that apply. It follows a normal distribution only for sufficiently large sample sizes. It follows a normal distribution for any sample size. The expected value of the sampling distribution is equal to the value of the population mean divided by the sample size. Its expected value is equal to the value of the population mean. When the population is infinite, the standard deviation of its sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size.

Explanation / Answer

1)It follows a normal distribution for any sample size

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

When the population size is infinite,SD of sampling distribution is equal to SD of population divided by square root of sample size.

2)

It follows a normal distribution for sufficiently large sample size

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

When the population size is infinite,SD of sampling distribution is equal to SD of population divided by square root of sample size.

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