Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.

B. The larger the sample size, the more closely the possible values of / bar{x} cluster around the mean of / bar{x}

C. If the sample size is larger, the possible values of / bar{x} are farther from the mean of / bar{x},

Question

Mathematics

Semaj Villegas

14 April, 15:16

Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.

B. The larger the sample size, the more closely the possible values of / bar{x} cluster around the mean of / bar{x}

C. If the sample size is larger, the possible values of / bar{x} are farther from the mean of / bar{x},

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Answers (1)

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Messiah Macdonald · Answer 1

B is the correct answer. The more values or samples you are able to add, the closer you come to approximating real life (although that is impossible) because you are more likely to have a cluster of values around the mean.