Fast-food restaurants spend quite a bit of time and money studying the amount of time cars spend in the drive-through. In 2007, QSR Magazine studied drive-through times at fast-food restaurants, and Wendy's had the best time, with a mean time of 138.5 seconds with a standard deviation of 29 seconds. Assuming that the data was normally distributed, use R to answer the following: Find the probability that a randomly selected car gets through Wendy's drive-through in less than 100 seconds. а) b) Find the probability that a randomly selected car gets through Wendy's drive-through in over 3 minutes.. Find the probability that a randomly selected car in at the drive-through from 2 to 3 minutes. c)

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Fast-food restaurants spend quite a bit of time and money studying the amount of time cars spend
in the drive-through. In 2007, QSR Magazine studied drive-through times at fast-food restaurants,
and Wendy's had the best time, with a mean time of 138.5 seconds with a standard deviation of 29
seconds. Assuming that the data was normally distributed, use R to answer the following:
Find the probability that a randomly selected car gets through Wendy's drive-through in
less than 100 seconds.
а)
Find the probability that a randomly selected car gets through Wendy's drive-through in
over 3 minutes...
b)
c)
Find the probability that a randomly selected car in at the drive-through from 2 to 3
minutes.
If Wendy's has 350 cars go through the drive-through in one day, how many of these cars
were in the drive-through between 2 and 3 minutes?
d)
e)
What drive-through time represents the cut-off for the lowest 25% of times (the bottom
quartile)?
f)
Suppose that Wendy's wants to institute a policy that it will not charge any patron that
must wait more than a certain amount of time or an order. Management does not want to
give away free meals to more than 1% of the patrons. What time would you recommend
Wendy's advertise as the maximum wait time before a free meal is awarded?
g)
Compute the drive-through times associated with the middle 50% of the data.
Transcribed Image Text:Fast-food restaurants spend quite a bit of time and money studying the amount of time cars spend in the drive-through. In 2007, QSR Magazine studied drive-through times at fast-food restaurants, and Wendy's had the best time, with a mean time of 138.5 seconds with a standard deviation of 29 seconds. Assuming that the data was normally distributed, use R to answer the following: Find the probability that a randomly selected car gets through Wendy's drive-through in less than 100 seconds. а) Find the probability that a randomly selected car gets through Wendy's drive-through in over 3 minutes... b) c) Find the probability that a randomly selected car in at the drive-through from 2 to 3 minutes. If Wendy's has 350 cars go through the drive-through in one day, how many of these cars were in the drive-through between 2 and 3 minutes? d) e) What drive-through time represents the cut-off for the lowest 25% of times (the bottom quartile)? f) Suppose that Wendy's wants to institute a policy that it will not charge any patron that must wait more than a certain amount of time or an order. Management does not want to give away free meals to more than 1% of the patrons. What time would you recommend Wendy's advertise as the maximum wait time before a free meal is awarded? g) Compute the drive-through times associated with the middle 50% of the data.
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