Answered: Second load of wash In Exercise 4, we…

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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Second load of wash In Exercise 4, we saw a 98% confi-
dence interval of (-40, -22) minutes for mTop - mFront

the difference in time it takes top-loading and front-
loading washers to do a load of clothes. Explain why you

think each of the following statements is true or false:
a) 98% of top loaders are 22 to 40 minutes faster than
front loaders.
b) If I choose the laundromat’s top loader, there’s a 98%
chance that my clothes will be done faster than if I had
chosen the front loader.
c) If I tried more samples of both kinds of washing
machines, in about 98% of these samples I’d expect
the top loaders to be an average of 22 to 40 minutes
faster.
d) If I tried more samples, I’d expect about 98% of the

resulting confidence intervals to include the true dif-
ference in mean cycle time for the two types of wash-
ing machines.

e) I’m 98% confident that top loaders wash clothes an
average of 22 to 40 minutes faster than front-loaders.

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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