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Description: 5. Frustrated passengers, congested streets, time schedules, and air and noise pollution are just some of the physical and social pressures that lead many urban bus drivers to retire prematurely with disabilities such as coronary heart disease and st

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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5. Frustrated passengers, congested streets, time schedules, and air and noise pollution are just some of the physical and social pressures that lead many urban bus drivers to retire prematurely with disabilities such as coronary heart disease and stomach disorders. An intervention program was implemented to improve the work conditions of the city’s bus drivers. The following table reported the heart rates, in beats per minute, of the drivers who drove on the improved routes (intervention) and the drivers who drove on the normal routes (control).

a) Is it reasonable to apply the pooled two-sample ? test? Justify your answer

b) At the 5% significance level, do the data provide sufficient evidence that the intervention program reduces mean heart rate of urban bus drivers?

c) Obtain a confidence interval for the difference between the mean heart rates of urban bus drivers in the two environments corresponding to the hypothesis test in part (a)

d) Interpret the confidence interval obtained in part (c). Does this interval support the conclusion of the hypothesis test in part (a)? Justify your answer

5. Frustrated passengers, congested streets, time schedules, and air and noise
pollution are just some of the physical and social pressures that lead many
urban bus drivers to retire prematurely with disabilities such as coronary heart
disease and stomach disorders. An intervention program was implemented
to improve the work conditions of the city's bus drivers. The following table
reported the heart rates, in beats per minute, of the drivers who drove on the
improved routes (intervention) and the drivers who drove on the normal
routes (control).
Intervention (u,)
Control (u2)
68 66 72 62 69 63 68 71 64
74 52 67 63 77 57 80 77 58 72 54 73 54 55 82 63
76
60 68 64 66 75 72 55 71 84 63 79 59 74 58 82
x = 67.90, s1 = 4.36, n1 =
X2 = 67.35, s2 = 9.66, n2 = 31
%3D
10
a) Is it reasonable to apply the pooled two-sample t test? Justify your

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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