A paint manufacturer uses a machine to fill gallon cans with paint (1

gal=128

ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within

0.5

ounce. Assume the population of volumes is normally distributed.

(a) Determine the minimum sample size required to construct a

90%

confidence interval for the population mean. Assume the population standard deviation is

0.83

ounce.

(b) The sample mean is

128.5

ounces. With a sample size of

9,

a

90%

level of confidence, and a population standard deviation of

0.83

ounce, does it seem possible that the population mean could be exactly

128

ounces? Explain.

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Part 1

(a) The minimum sample size required to construct a

90%

confidence interval is

enter your response here

cans.

(Round up to the nearest whole number.)

Part 2

(b) The

90%

confidence interval for a sample size of

9

is

(enter your response here,

enter your response here).

It

seem possible that the population mean could be exactly

128

ounces because

128

ounces falls

the confidence interval.