mail-order company advertises that is ships 90% of its orders within three business days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. a) If the company really ships 90% of its orders on time, what is the probability that the proportion in an SRS of 100 orders is 0.86 or less? Show your work. b) A critic says,”Aha! You claim 90%, but in your sample the on-time percentage is lower than that. So the 90% claim is wrong.” Explain in simple language why your probability calculation in (a) shows that the result of the sample does not refute the 90% claim.
mail-order company advertises that is ships 90% of its orders within three business days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. a) If the company really ships 90% of its orders on time, what is the probability that the proportion in an SRS of 100 orders is 0.86 or less? Show your work. b) A critic says,”Aha! You claim 90%, but in your sample the on-time percentage is lower than that. So the 90% claim is wrong.” Explain in simple language why your probability calculation in (a) shows that the result of the sample does not refute the 90% claim.
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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A mail-order company advertises that is ships 90% of its orders within three business days.
You select an SRS of 100 of the 5000 orders received in the past week for an audit. The
audit reveals that 86 of these orders were shipped on time.
a) If the company really ships 90% of its orders on time, what is the probability that
the proportion in an SRS of 100 orders is 0.86 or less? Show your work.
b) A critic says,”Aha! You claim 90%, but in your sample the on-time percentage is
lower than that. So the 90% claim is wrong.” Explain in simple language why your
probability calculation in (a) shows that the result of the sample does not refute the
90% claim.
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