Suppose a certain game of chance pays the player some dollar amount X each play, but the average amount per play is unknown.

To estimate this average, we play 50 rounds and record the results. Assume the probability distribution of the dollar amount X each round is the same and the rounds are independent.

For these 50 rounds, it turns out we average 7.17 dollars per play; the standard deviation per play is 5.86 dollars.

We estimate the average per play to be 7.17. What margin of error yields an approximate 80% confidence interval?

7.17 ______ dollars

Enter the margin of error rounded to the nearest cent (two decimal places).