Answered: A. The sampling distribution of a…

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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A. The sampling distribution of a statistic is:

A. the probability that we obtain the statistic in repeated random samples.
B. the distribution of values taken by a statistic in all possible samples of the same size from the same population.
C. the mechanism that determines whether or not randomization was effective.
D. the extent to which the sample results differ systematically from the truth.

B. A statistic is said to be unbiased if

A. it is used for only honest purposes.
B. the survey used to obtain the statistic was designed so as to avoid even the hint of racial or sexual prejudice.
C. the mean of its sampling distribution is equal to the true value of the parameter being estimated.
D. both the person who calculated the statistic and the subjects whose responses make up the statistic were truthful.

C. Sampling variation is caused by

A. systematic errors in our procedure.
B. changes in a population parameter from sample to sample.
C. changes in a population parameter that cannot be predicted.
D. random selection of a sample

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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