Answered: For fast-food restaurants, the…

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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2. For fast-food restaurants, the drive-through window is an important revenue source. The fast-food chain that offers the fastest service is likely to attract additional customers. Each year QSR Magazine publishes its results of a survey of drive-through service times at fast-food chains. In a recent year, the mean time was 226.07 seconds for Wendy’s, 236.50 seconds for Taco Bell, 193.31 seconds for Burger King, 273.29 seconds for McDonald’s, and 218.85 seconds for Chick-fil-A. Suppose the study was based on 20 customers for each fast-food chain. The ANOVA table for this problem is presented below.

a. Interpret the result of the Analysis of Variance (ANOVA). What is the statistical decision and corresponding conclusion?

b. What is the implication of the results obtained from the analysis of the data?

Analysis of Variance Table
Response: time
Df
Sum Sq
Mean Sq
fast-food 4 68,028.2704 17,007.0676
Residuals 95 12,407.00
130.60
F value Pr(>F)
130.2226 0.0000

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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