Consider a 6-sided dice. The number on the face of a fairdice has a discrete distribution with a mean 3.5 and a standard deviationof 1.708.

The average of 81 rolls of the dice is taken. If this was done many many times as in a sample of large n, the distribution is approx. Normal.

What is thestandard deviation of the sampling distribution of sample averages?

State the answer to THREE decimal places only.