Answered: A public bus company official claims…

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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STATISTICS AND PROBABILITY

MULTIPLE CHOICE

A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation σ of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes.

What conclusion may be drawn?

a. W. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time.

b. X. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time.

c. Y. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14) differs significantly from the hypothesized mean waiting time.

d. Z. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 differs significantly from the hypothesized mean waiting time.

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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