- #1

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## Homework Statement

In this problem we will be generating and analyzing lists of normally distributed random numbers. The distribution we are sampling has true mean 0 and standard deviation 1.

- If we sample this distribution N=5 times, what do we expect the mean to be? How about the standard deviation? Whats the error on the mean?

## Homework Equations

[itex] \bar{x}= \Sigma \frac{x_i}{N} [/itex]

[itex] s^2= \Sigma \frac{(x_i- \mu)^2}{N}[/itex]

## The Attempt at a Solution

Im not sure where to go here. What does it mean to have a true mean of zero? What is meant by "true" mean - I havent seen this this phrase used before. I read that if a data distribution is approximately normal then about 68 percent of the data values are within one standard deviation of the mean, but how does this help me when I want to sample this distribution? Any help would be appreciated! I have never taken a statistics class.