Answered: According to the UN Statistics, the…

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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According to the UN Statistics, the average life expectancy of Filipinos in 2015 is 71.23 years. A gerontologist suspected that old individual residing in cities tend to live shorter lives. She found that the mean life expectancy of a random sample of 22 urban senior citizens in the Philippines is 69.5 years, with a standard deviation of 7 years. Use the Test of Significance Approach in testing the social gerontologist’s suspicion. a. Estimate μ at 95% confidence interval. b. Did the gerontologist found support for her claim? Why/not? c. Suppose if you live in the city, would you move out based on your findings? Why/not? d. If you drew the wrong conclusion, what type of error would you have committed

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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