Consider the table, showing the official mean weight and estimated standard deviation for five U.S. coins. Suppose
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Question:
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 | 0.09 |
Dime | 2.268 | 0.01 |
Quarter | 5.670 | 0.07 |
Half dollar | 11.340 | 0.12 |
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.) |
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