Answered: A New York Times Poll on women’s issues…

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 New York Times Poll on women’s issues interviewed 1025 randomly selected women and 472 randomly selected men from the United States, excluding Alaska and Hawaii.
The poll found that 47% of the women said they do not get enough time for themselves and announced a margin of error of ±3 percentage points for 95% confidence in its conclusions. The confidence statement, in relation to the given scenario, is: “We are 95% confident that between 44% and 50% of all women would say that they do not get enough time for themselves.”

Which of the following statements correctly explains the meaning of the term ‘95% confidence’, in the confidence statement?

The interval 44% to 50% is based on a procedure that includes a sample representing 95% of population.

The interval 44% to 50% is based on a procedure that includes the true population value 95% of the time.

The interval 44% to 50% is based on a procedure that produces a margin of error (of ±3) 95% of the time.

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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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