SOLUTION: Please help me solve the following problem: If X is a normal random variable with mean 10 and standard deviation 2. What is the standard deviation of the sample mean for a sample o

Question 1087150: Please help me solve the following problem: If X is a normal random variable with mean 10 and standard deviation 2. What is the standard deviation of the sample mean for a sample of size 2?
A. 1
B. 2
C. 1.5
D. 1.4142

Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Question:
Please help me solve the following problem: If X is a normal random variable with mean 10 and standard deviation 2. What is the standard deviation of the sample mean for a sample of size 2?
A. 1
B. 2
C. 1.5
D. 1.4142

Solution:
Standard error (or standard deviation of sample mean)
= standard deviation of population / sqrt(n)
=2/sqrt(2)
=1.41420508...
=1.4142 (approximately)
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