Answered: mean lung capacity for nonsmoking males…

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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the mean lung capacity for nonsmoking males in the population aged 50 is 2.2 liters. an investigator wants to examine if the mean lung capacity are significantly diffrent among former smokers of similar background(i.e, males aged 50 who smoked in the past and are not currently smoker). a random sample of 28 former smokers is selected. their lung capacity have a mean of 2.0 liters with a standard devision of 0.41 liters.

calculate the appropirate test at the 1% level of significance. decide on a 1- tail or 2- tail test based on the goals of the research.

the value of the calculated test statistic=

the critical value=

regarding the null hypothesis

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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