UPS currently believes that it achieves a 96 % on-time performance for its customers. A random sample of 200 customer shipment studies has shown that 188 of them have met the on-time delivery promise. Would you be surprised if the random sample of 200 customer shipments had 197 on-times deliveries? Support your answer with a probability calculation. Suppose the random sample of 200 customer shipments revealed that 178 were on time. Would such a finding cause you to question UPS’s claim that its on-time performance is 96%? Support your answer with a probability calculation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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UPS currently believes that it achieves a 96 % on-time performance for its customers. A random sample of 200 customer shipment studies has shown that 188 of them have met the on-time delivery promise.

  1. Would you be surprised if the random sample of 200 customer shipments had 197 on-times deliveries? Support your answer with a probability calculation.
  2. Suppose the random sample of 200 customer shipments revealed that 178 were on time. Would such a finding cause you to question UPS’s claim that its on-time performance is 96%? Support your answer with a probability calculation.
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