Answered: 200 trains are sampled and it is…

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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200 trains are sampled and it is determined how many minutes late their arrival was. The following result was obtained:

One sample T confidence interval:

μ : Mean of variable

99% confidence interval results:

Variable	Sample Mean	Std. Err.	DF	L. Limit	U. Limit
Delay Arrival	3.355	2.0353398	199	- 1.9384307	8.6484307

What is the correct interpretation of this result?

		We can be 99% confident that the population mean lies between -1.94 minutes and 8.65 minutes.
		We can be 99% confident that the population mean is 3.355 minutes.
		We know that 99% of samples will have a sample mean between -1.94 and 8.65 minutes.
		We know that the population mean is the same as the sample mean of 3.355 minutes.

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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