Answered: Suppose that a recent poll found that…

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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Question

100%

Suppose that a recent poll found that

47%

of adults believe that the overall state of moral values is poor. Complete parts (a) through (c).

(a) For

400

randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor.

The mean of X is

nothing.

(Round to the nearest whole number as needed.)

The standard deviation of X is

nothing.

(Round to the nearest tenth as needed.)

(b) Interpret the mean. Choose the correct answer below.

For every

400

adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

For every

188

adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor.

For every

400

adults, the mean is the range that would be expected to believe that the overall state of moral values is poor.

For every

400

adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor.

170

of the

400

adults surveyed believe that the overall state of moral values is poor?

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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