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
Algebra ->
Probability-and-statistics
-> 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
Log On
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
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)
