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Q 3.Jonida Martinez, researcher for the Columbian Coffee Corporation, is interested in Determining the rate of coffee usage per household in the United States. She

Q 3.Jonida Martinez, researcher for the Columbian Coffee Corporation, is interested in

Determining the rate of coffee usage per household in the United States. She believes that yearly consumption per household is normally distributed with an unknown mean and a standard deviation of about 1.25 pounds.

(a) If Martinez takes a sample of 36 households and records their consumption of coffee for one year, what is probability that the sample mean with in one half pound of the population mean?

(b) How large a sample must she take in order to be 98 percent certain that the sample mean is within one-half pound of the population mean?

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