Answered: Friday the 13th, I In 1993 the British…

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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Friday the 13th, I In 1993 the British Medical Journal
published an article titled, “Is Friday the 13th Bad for
Your Health?” Researchers in Britain examined how
Friday the 13th affects human behavior. One question

was whether people tend to stay at home more on Fri-
day the 13th. The data below are the number of cars

passing Junctions 9 and 10 on the M25 motorway for
consecutive Fridays (the 6th and 13th) for five different
periods.Here are summaries of two possible analyses:
Paired t-Test of mu11 - 22 = 0 vs. mu11 - 22 7 0
Mean of Paired Differences: 2022.4
t-Statistic = 2.9377 w>4 df P = 0.0212
2-Sample t-Test of mu1 = mu2 vs. mu1 7 mu2
Difference Between Means: 2022.4
t-Statistic = 0.4273 w>7.998 df P = 0.3402
a) Which of the tests is appropriate for these data? Explain.
b) Using the test you selected, state your conclusion.
c) Are the assumptions and conditions for inference met?

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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