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A researcher wants to carry out a hypothesis test involving the mean for a sampl

ID: 3171630 • Letter: A

Question

A researcher wants to carry out a hypothesis test involving the mean for a sample of n = 20. While the true value of the population standard deviation is unknown, the researcher is reasonably sure that the population is normally distributed. Given this information, which of the following statements would be correct? A. The researcher should use the z-test because the population is assumed to be normally distributed. B. The researcher should use the z-test because the sample size is less than 30. C. The t-test should be used because the sample size is small. D. The t-test should be used because and are unknown.

Explanation / Answer

C. T test should be used since sample size is small

D. T test should be used since alpha and mu are unknown

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