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Description: It is a longstanding view that men tend to inflate the number of sexual partners they’ve had, while women tend to deflate their number. Part of the rationale for this view is that men need to appear “macho.” I hypothesize that, by age 50, however, ma

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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It is a longstanding view that men tend to inflate the number of sexual partners they’ve had, while women tend to deflate their number. Part of the rationale for this view is that men need to appear “macho.” I hypothesize that, by age 50, however, married men and women shouldn’t differ in the number of sexual partners claimed. According to the GSS, the mean number of sexual partners claimed (in the last year) by 1886 married men over age 50 was 1.14 (sd = 2.58), while the mean number of sexual partners claimed by 1,750 married women over age 50 was .95 (sd = .44). Is my hypothesis reasonable?

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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It is a longstanding view that men tend to inflate the number of sexual partners they’ve had, while women tend to deflate their number. Part of the rationale for this view is that men need to appear “macho.” I hypothesize that, by age 50, however, married men and women shouldn’t differ in the number of sexual partners claimed. According to the GSS, the mean number of sexual partners claimed (in the last year) by 1886 married men over age 50 was 1.14 (sd = 2.58), while the mean number of sexual partners claimed by 1,750 married women over age 50 was .95 (sd = .44).

The provided sample means are shown below:

Also, the provided sample standard deviations are:

and the sample sizes are $n_1 = 1886$ and $n_2 = 1750$ .

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