A researcher selects a sample of 25 participants from a population with a mean o
ID: 3257458 • 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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