Question 464211: The weight of potato chips in a medium size bag is stated to be 8 ounces. The amount that the packaging machine puts in these bags is believed to be normally distributed with a mean of 8.2 ounces and standard deviation of 0.12 ounces.
i) type of distribution: __sample distributions of sample_____________
ii) find the mean of the population: _8.2 ounces______ and standard deviation of the population: ___.12 ounces______
iii) find the probability of a bag sold that is underweight. 4.78%__________
iv) Some of the chips are sold in “bargain packs” of 3 bags. Find the mean of the distribution of mean of all bargain packs: 8.2 ounces_______ and standard deviation: _.0693 ounces________
v) What’s the probability that the mean of the 3 is underweight? ___normalcdf(-1E99, 8, 8.2, .0693)= .001951?________
vi) What’s the probability that the mean weight of 24-bag case of potato chips is below 8 ounces? __________
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The weight of potato chips in a medium size bag is stated to be 8 ounces. The amount that the packaging machine puts in these bags is believed to be normally distributed with a mean of 8.2 ounces and standard deviation of 0.12 ounces.
i) type of distribution: __sample distributions of sample_____________
ii) find the mean of the population: _8.2 ounces______ and standard deviation of the population: ___.12 ounces______
iii) find the probability of a bag sold that is underweight. 4.78%__________
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z(8) = (8-8.2)/0.12 = -1.667
P(underweight) = P(wt < 8 oz) = P(z<-1.667) = 4.78
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iv) Some of the chips are sold in “bargain packs” of 3 bags. Find the mean of the distribution of mean of all bargain packs: 8.2 ounces_______ and standard deviation: _.0693 ounces________
v) What’s the probability that the mean of the 3 is underweight? ___normalcdf(-1E99, 8, 8.2, .0693)= .001951?________
vi) What’s the probability that the mean weight of 24-bag case of potato chips is below 8 ounces? __________
normalcdf((-100,8,8.2,0.12/sqrt(24)) = 0 to 8 decimal places
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Cheers,
Stan H.
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