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Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces. If the manufacturer wants to keep the mean at 12.8 ounces but adjust the standard deviation so that only 1% of the bags weigh less than 12 ounces, how small does he/she need to make that standard deviation

Respuesta :

Answer:

std dev = 0.625

Step-by-step explanation:

Given that  weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.

We must change std deviation such that

P(X<12) =0.01

Mean would remain the same as 12.8 oz

From normal distribution score we can find

10th percentile is -1.28\

i.e. we must have

[tex]12.8-1.28*s = 12\\1.28s = 0.8\\s = 0.625[/tex]

Std deviation should be 0.625

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