Answered: Listed below are heights (cm) randomly…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 45E

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Question

Listed below are heights (cm) randomly selected from the sample of women and heights (cm) randomly selected from the sample of men. Use a 95% confidence level to estimate the magnitude of the difference between the mean heights of women and the mean height of men? Instead of solving with 95% confidence interval, please solve with the attached formula.

Woman	160.3	167.7	166.9	153.3	160.0	177.3	169.1	134.5	163.3	171.1
Man	190.3	169.8	179.8	179.8	177.0	178.5	173.5	178.7	179.0	181.3

My professor switched up the solving for this problem and I want to be sure I did it right. Thank you!!

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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