A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration, the manufacturer takes a random sample of 25 cans and finds that they average 128.2 ounces with a standard deviation of 2.3 ounces. Which of these is the a correct 97.5% confidence interval? O (127.10, 129.30) O (123.94, 132.46) O (124.48, 131.92) O (127.25, 129.15)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A paint manufacturer fills cans of paint using a
machine that has been calibrated to fill the cans
to contain an average of 1 gallon (128 ounces)
each. To test whether their machine has come
out of calibration, the manufacturer takes a
random sample of 25 cans and finds that they
average 128.2 ounces with a standard deviation
of 2.3 ounces. Which of these is the a correct
97.5% confidence interval?
O (127.10, 129.30)
O (123.94, 132.46)
O (124.48, 131.92)
O(127.25, 129.15)
Transcribed Image Text:A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration, the manufacturer takes a random sample of 25 cans and finds that they average 128.2 ounces with a standard deviation of 2.3 ounces. Which of these is the a correct 97.5% confidence interval? O (127.10, 129.30) O (123.94, 132.46) O (124.48, 131.92) O(127.25, 129.15)
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