SOLUTION: Please help me solve this: The mean GPA of nursing majors in a certain university is 3.1 with a standard deviation of .70. What is the standard deviation of the distribution of sam

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Question 725019: Please help me solve this: The mean GPA of nursing majors in a certain university is 3.1 with a standard deviation of .70. What is the standard deviation of the distribution of sample means if each sample has 20 students in it?
Answer by stanbon(75887) (Show Source):
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Please help me solve this: The mean GPA of nursing majors in a certain university is 3.1 with a standard deviation of .70. What is the standard deviation of the distribution of sample means if each sample has 20 students in it?
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Check out the Central Limit Theorem:
mean of sample means = u
std of sample means = s/sqrt(n)
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Your Problem:
std = 0.7/sqrt(20) = 0.1565
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Cheers,
Stan H.