In: Statistics and Probability
Consider the table, showing the official mean weight and estimated standard deviation for five U.S. coins. Suppose a vending machine is designed to reject all coins with weights more than 1 standard deviation above or below the mean. Coin Weight (grams) Estimated standard deviation (grams) Cent 2.500 0.06 Nickel 5.000 0.08 Dime 2.268 0.06 Quarter 5.670 0.06 Half dollar 11.340 0.14 For each coin, find the range of weights that are acceptable to the vending machine. Complete the table below. Coin Range of weight (grams)
Cent ___ ___ Nickel ___ ___ Dime ___ ___ Quarter ___ ___ Half dollar ___ ___(Round to three decimal places as needed.)