Answered: Pandemic-fueled challenges forced…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Pandemic-fueled challenges forced consumers to wait significantly longer in drive-thru lanes. QSR magazine studied drive-thru times for 10 fast-food restaurants the lengths of time customers would spend in the drive-thru lane – and found that KFC in 2020, had the shortest mean time with a mean time spent in the drive-through lane of 283.3 seconds. Assuming drive-through times are Normally distributed with a standard deviation of 33 seconds, answer the following.

a. What percentage of drive-through times at KFC will last more than 300 seconds?

b. The longest 10% of drive-through times are longer than how many seconds? round top the nearest second.

c. If we select a customer in the drive-through lane at KFC at random, what is the probability that their drive-through time is between 275 and 290 seconds?

d. Dring Lunchtime, it is estimated that 230 customers go through the drive-thru, how many customers have to wait for less than 305 seconds.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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