Answered: Transgender Children: Age of First…

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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Transgender Children: Age of First Experience Exercise 6.106 introduces a study investigating the age at which transgender people have their first experience of gender dysphoria. We examine here whether there is difference in mean age of first experience between trans men and trans women. In the study, the mean age for the 155 trans women in the sample was 6.7 years old with a standard deviation of 3.6. The mean age for the 55 trans men in the sample was 6.2 with a standard deviation of 3.1. Does this sample provide evidence that the mean age of first perception of gender dysphoria differs between trans women and trans men?

Test statistic = (round to three decimal places)
p-value = (round to three decimal places)

What do you conclude?

Reject H₀. We do not have evidence that mean age is different between trans men and trans women.

Do not reject H₀. We do not have evidence that mean age is different between trans men and trans women.

Reject H₀. We have evidence that mean age is different between trans men and trans women.

Do not reject H₀. We have evidence that mean age is different between trans men and trans women.

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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