Question
4.4,4.5 Suppose that the manufacturer of a scale claims that its scale weighs items up to 110 pounds and provides accuracy to within0.25 ounce.Suppose that
4.4,4.5
Suppose that the manufacturer of a scale claims that its scale weighs items up to 110 pounds and provides accuracy to within0.25 ounce.Suppose that a50-ounceweight was repeatedly weighed on this scale and the weight readings recorded. The mean value was49.5 ounces,and the standard deviation was0.125. What can be said about the percentage of the time that the scale actually showed a weight that was within0.25 ounceof the true value of50 ounces?(Hint: Use Chebyshev's Rule.)
We are trying to determine what percentage of the weight readings were between49.75 ouncesand______ounces.49.75 ouncesis______standard deviationsabove the mean value of49.5 ounces.Chebyshev's rule tells us thatat least______%of the observations were within that manystandard deviationsof the mean value. So at most_____%of the weight readings were within 0.25 ounces of the true weight.
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