Transgender Surgery Exercise 6.106 introduces a study investigating the age at which transgender people begin to transition gender and the age at which they have their first experience of gender dysphoria. The study also recorded the age at which they began gender-affirming surgery, and we examine here whether there is a difference in mean age of surgery between trans men and trans women. In the study, the mean age for the 155 trans women in the sample was 41.3 years with a standard deviation of 16.3. The mean age for the 55 trans men in the sample was 35.4 with a standard deviation of 10.8. . Does this sample provide evidence that the mean age of surgery is different between trans women and trans men? (Let Group 1 represent trans women and Group 2 represent trans men.) Find test statistic and p-value. Test statistic = (round to three decimal places) p-value = (round to three decimal places) What do you conclude? 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

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Transgender Surgery Exercise 6.106 introduces a study investigating the age at which transgender people begin to transition gender and the age at which they have their first experience of gender dysphoria. The study also recorded the age at which they began gender-affirming surgery, and we examine here whether there is a difference in mean age of surgery between trans men and trans women. In the study, the mean age for the 155 trans women in the sample was 41.3 years with a standard deviation of 16.3. The mean age for the 55 trans men in the sample was 35.4 with a standard deviation of 10.8. . Does this sample provide evidence that the mean age of surgery is different between trans women and trans men? (Let Group 1 represent trans women and Group 2 represent trans men.)

Find test statistic and p-value.

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

What do you conclude?

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.

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.

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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