A paint manufacturer uses a machine to fill gallon cans with paint (see figure).
Error tolerance = 0.25 oz
(a) The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.25 ounce. Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.85 ounce.
(b) Repeat part (a) using an error tolerance of 0.15 ounce.
(c) Which error tolerance requires a larger sample size? Explain. |

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