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26-05-2022
Mathematics

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In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval

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raphealnwobi raphealnwobi

31-05-2022

95% of molds filled by this machine will hold weights in are within 1106 pounds to 1194 pounds

What is an empirical rule?

The empirical rule states that for a normal distribution, about 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within one standard deviation from the mean

Given a mean of 1150 pounds and a standard deviation of 22 pounds. Hence:

95% are within two standard deviations of the mean = 1150 ± 2(22) = (1106, 1194)

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