Answered: A philosophy professor wants to find…

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

A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the hypothesis H0 against the alternative Ha:
H₀: μ_M = μ_W
H_A: μ_M > μ_W

at the 5% level.

After collecting data from his students, he finds the P-value for the test was 0.003.

Which is the right conclusion for this test?

A. There is not sufficient statistical evidence that the mean age for the men is equal to the mean age for the women.

B. There is sufficient statistical evidence that the mean age for the men is equal to the mean age for the women.

C. There is not sufficient statistical evidence that the mean age for the men is greater than the mean age for the women.

D. There is sufficient statistical evidence that the mean age for the men is greater than the mean age for the 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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