Answered: Friday the 13th, II: The researchers in…

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, II: The researchers in Exercise 9 also
examined the number of people admitted to emergency
rooms for vehicular accidents on 12 Friday evenings
(6 each on the 6th and 13th).Based on these data, is there evidence that more people
are admitted, on average, on Friday the 13th? Here and
on the next page are two possible analyses:
Paired t-Test of mu12 - 12 = 0 vs. mu12 - 12 7 0
Mean of Paired Differences = 3.333
t-Statistic = 2.7116 w>5 df P = 0.02112-Sample t-Test of mu2 = mu1 vs. mu2 7 mu1
Difference Between Means = 3.333
t-Statistic = 1.6644 w>9.940 df P = 0.0636
a) Which of these 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?

Year Month 6th 13th
1989 October 9 13
1990 July 6 12
1991 September 11 14
1991 December 11 10
1992 March 3 4
1992 November 5 12

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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