Question

A rolling operation produces parts that are normally distributed with a mean thickness of 0.220 in...

A rolling operation produces parts that are normally distributed with a mean thickness of 0.220 in and a sd of 0.002 in. If specs call for 0.225 plus 000 minus 0.008, what percentage of the parts will be in spec?

85.1%

87.7%

92.7%

98.3%

0 0
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Answer #1

Sol:

sample follows normal distribution

mean=0.220

sd=0.002

P(0.225-0.008<X<0.225+0.008)

P(0.217<X<0.233)

using R code:

library(tigerstats)
pnormGC(bound=c(0.217,0.233),region="between", mean=0.220,sd=0.002,graph=TRUE)

ANSWER:

92.7%

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