Answered: According to a study the average…

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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According to a study the average waiting time at the drive thru window at Mc Donald as measured from the time a customer places an order until the time a customer receives his order was 3.7 minutes. The franchise personnel believes that the average waiting time is not equal to 3.7 minutes. He wanted to institute a new process intended to reduce waiting time. A random sample of 25 orders were collected, and yields a mean waiting time of 3.84 minutes with a sample standard deviation of 0.4 minute. Test this claim at α = 0.05 level of significance.

The computed value of the test statistic lies in the;

Rejection area

Acceptance area

None of the above

the interpretation of the data based from the results is;

Statistically significant

Not statistically significant

None of the above

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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