Answered: ge only 7.8 minutes of leisurely…

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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Question

The most recent American Time Use Survey, conducted by the Bureau of Labor Statistics,
found that many Americans barely spend any time reading for fun. People ages 15 to 19
average only 7.8 minutes of leisurely reading per day with a standard deviation of 5.4 minutes.
However, people ages 75 and over read for an average of 43.8 minutes per day with a standard
deviation of 35.5 minutes. These results were based on random samples of 975 people ages 15
to 19 and 1050 people ages 75 and over.

Construct and interpret a 95% confidence interval for the difference in mean amount of time
(minutes) that people age 15 to 19 and people ages 75 and over read per day.

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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