A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average $\mu$ 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 ounces. Is this strong evidence that the filling machine is set too high and thus is no longer calibrated properly?
What is the P-value for this significance test?
A) 0.0287
B) 0.3085
C) 0.5000
D) 0.6915
E) 0.9713

Question

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The Answer of A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average $\mu$ 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 ounces. Is this strong evidence that the filling machine is set too high and thus is no longer calibrated properly?
What is the P-value for this significance test?
A) 0.0287
B) 0.3085
C) 0.5000
D) 0.6915
E) 0.9713

A Paint Manufacturer Fills Cans of Paint Using a Machine μ\muμ

A Paint Manufacturer Fills Cans of Paint Using a Machine $\mu$