SOLUTION: A certain brand of apple juice is supposed to have 64 ounces of juice. Because the filling machine is not precise, the exact amount of juice varies from bottle to bottle with a st

Question 1100258: A certain brand of apple juice is supposed to have 64 ounces of juice. Because the filling machine is not precise, the exact amount of juice varies from bottle to bottle with a standard deviation = 0.06. However, the average (mean) amount of juice should be 64 ounces. The quality control manager occasionally needs to randomly select bottles and measure their contents to see if the machine is under- or over-filling.
She picks a bottle of apple juice off the line, measures the contents, and tells you that the juice content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the mean is 64 ounces.
the standard deviation is .06 ounces.
if the sampled bottle is 1.5 standard deviations below the mean, then the bottle contains 64 minus .06 * 1.5 = 63.91 ounces.

1 standard deviation is .06.
1.5 standard deviations is .06 * 1.5 = .09
64 - .09 = 63.91

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