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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A 95% confidence level interval estimate is required for the difference between the means of two independent populations. The size of the first sample is 100, the mean is 150, the variance is 20, and the second sample is 100, the mean is 80, and the variance is 10. What are the confidence limits for this interval estimate?

a)	(19.10 ; 20.90)

B)	(69.10 ; 70.90)

NS)	(28.82 ; 40.09)

D)	(79.81 ; 90.90)

TO)	(68.92 ; 71.07)

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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Confidence interval:

It is defined as the range that contains the value of a true population parameter. The confidence interval is constructed for various population parameters such as population mean, population standard deviation, and so on.
The confidence interval can be interpreted as follows: With a stated level of confidence, it can be said that the true population parameter for which the confidence interval is constructed lies within the obtained confidence interval.

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