Answered: In a study of 110 women and 116 men, it…

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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In a study of 110 women and 116 men, it was found that mean body temperature for women was 97.69⁰ F and mean body temperature for men was 97.45⁰ F. Assume that the populations are independent, and the standard deviations were found to to be 0.89^oF for women, and 0.66⁰ F for men. Use an α = 0.05 significance level to test the claim that woman and men have different mean body temperatures.

For full credit your hypothesis test must include: the claim, the null and alternate hypothesis, your test statistic and corresponding p-value, your decision, and the interpretation of your decision as it relates to the claim. It is acceptable to use technology to calculate the test statistic and the p-value here.

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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