Consider the table, showing the official mean weight and estimated standard Deviation for 5 u.s. coins. Suppose a vending machine is designed to reject all coins with weights more than 2 standard Deviations above or below the mean.

For each coin, find the range of weights that are acceptable to the vending machine.

Round to 3 decimal places as needed

COIN. RANGE OF WEIGHT (grams)

Cent. _______ - _________

Nichel. _______ - _________

Dime. _______ - _________

Quarter. _______ - _________

Half dollar. _______ - _________

Coin Weight (grams) Estimated standard deviation (grams) Cent 2.500 0.09 Nickel 5.000 0.07 Dime 2.268 0.06 Quarter 5.670 0.08 Half dollar 11.340 0.14