The waiting time a customer spends in the airport luggage check-in is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n= 40 customers were observed. Find the probability that the average waiting time in queue for customers is less than 8 minutes. Would the probability change if airport management further shortens the queuing time of customer less 7.5 minutes? Explain and include your solutions. a. Probability is about 20%. Probability would decrease if queuing time were shortened b. Probability is about 20%. Probability will not change even if queuing time is reduced c. Probability will change if the queuing time is improved to less 7.5 minutes d. NONE

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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The waiting time a customer spends in the airport luggage check-in is a random variable with mean
8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 40 customers
were observed. Find the probability that the average waiting time in queue for customers is less than
8 minutes. Would the probability change if airport management further shortens the queuing time of
customer less 7.5 minutes? Explain and include your solutions.
a. Probability is about 20%. Probability would decrease if queuing time were shortened
b. Probability is about 20%. Probability will not change even if queuing time is reduced
c. Probability will change if the queuing time is improved to less 7.5 minutes
d. NONE
Transcribed Image Text:The waiting time a customer spends in the airport luggage check-in is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 40 customers were observed. Find the probability that the average waiting time in queue for customers is less than 8 minutes. Would the probability change if airport management further shortens the queuing time of customer less 7.5 minutes? Explain and include your solutions. a. Probability is about 20%. Probability would decrease if queuing time were shortened b. Probability is about 20%. Probability will not change even if queuing time is reduced c. Probability will change if the queuing time is improved to less 7.5 minutes d. NONE
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