SOLUTION: The amount of coffee that a filling machine puts into an 8 oz. jar is normally distributed with a mean of 8.2 oz. and a standard deviation of .18 oz. What is the probability that a

Question 1032787: The amount of coffee that a filling machine puts into an 8 oz. jar is normally distributed with a mean of 8.2 oz. and a standard deviation of .18 oz. What is the probability that a sampling error made in estimating the mean amount of coffee for all 8 oz. jars from samples of 100 jars will be at the most .02 oz.?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The amount of coffee that a filling machine puts into an 8 oz. jar is normally distributed with a mean of 8.2 oz. and a standard deviation of .18 oz. What is the probability that a sampling error made in estimating the mean amount of coffee for all 8 oz. jars from samples of 100 jars will be at the most .02 oz.?
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Error of 0.02 means measures are between 8.2-0.02 = 8.18 and 8.2+0.02 = 8.22
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z(8.18) = (8.18-8.2)/[0.18/sqrt(100)] = -0.02*10/0.18 = -1.11
z(8.22) = (8.22-8.2)/[0.18/sqrt(100)] = 0.02*10/0.18 = 1.11
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P(-1.11 < z < 1.11) = 0.7330
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Cheers,
Stan H.
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