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A parcel service wants to establish a weight value c, beyond which there will be

ID: 3056720 • Letter: A

Question

A parcel service wants to establish a weight value c, beyond which there will be an additional charge. The weight of parcels handled by this service is normally distributed with a mean of 5.4 kg and a standard deviation of 2.5 kg. a) what value for c (in kg) will insure that only 2.5 % of handled packages are assessed the additional charge? (Give decimal answer to two places past decimal.) t Answer Incorrect. Tries 1/5 Previous Tries b) what value for c (in kg) will insure that only 1.0 % of handled packages are assessed the additional charge? (Give decimal answer to two places past decimal.) Submit Answer Tries ofs

Explanation / Answer

a) here for top 2.5% ; z =1.96

hene corresponding value =mean +z*std deviation =5.4+1.96*2.5=10.30

b) for top 1% ' z =2.3263

hence corresponding value =mean +z*std deviation =5.4+2.3263*2.5=11.22

( please try 11.23 if above does not work due to rounding error)

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