Answered: It appears that people who are mildly…

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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It appears that people who are mildly
obese are less active than leaner people. One study looked
at the average number of minutes per day that people spend
standing or walking.
Among mildly obese people, the mean
number of minutes of daily activity (standing or walking) is
approximately Normally distributed with mean 373 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally
distributed with mean 526 minutes and standard deviation 107
minutes. A researcher records the minutes of activity for an
SRS of 5 mildly obese people and an SRS of 5 lean people.

(a) What is the probability that the mean number of minutes of
daily activity of the 5 mildly obese people exceeds 420 minutes?

(b) What is the probability that the mean number of minutes
of daily activity of the 5 lean people exceeds 420 minutes?

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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