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A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 120 ounces an
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Answer #1

Given that

u= 120,0 = 0.30

The standard error of mean is

se = O Tn 0.30 40 = 0.0474

The usual range of values is within 2 standard deviations of mean. Here usual range of values will be

u 2se = 120 = 2:0.0474 = (119.9052, 120.0948) = (119.91, 120.09)

Yes.It is unusual that you would have randomly sampled 40 cans with a mean equal to 119.9 ounces because it is not within range of a usual event namely with 2 standard deviations of the mean of the sample means.

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