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A researcher selects a sample of 25 participants from a population with a mean o

ID: 3242741 • Letter: A

Question

A researcher selects a sample of 25 participants from a population with a mean of 10 and a standard deviation of 5. What is the probability of selecting a sample mean that is at least two standard deviations larger than the population mean?

0.0228

0.4772

0.9772

equal to the probability of selecting a sample mean that is at least two standard deviations below the mean.

A.

0.0228

B.

0.4772

C.

0.9772

D.

equal to the probability of selecting a sample mean that is at least two standard deviations below the mean.

Explanation / Answer

Since the distribution of mean will be normal and normal distribution is symmetric distribution. It would be equal to the probability of selecting a sample mean that is at least two standard deviations below the mean.

Option D is correct.

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