A magazine examined top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the magazine reported was “cycle time,” the number of minutes it took each machine to wash a load of clothes. The 98% confidence interval for the difference in mean cycle time (μtop − μfront) is (−40, −22).The endpoints of this confidence interval are negative numbers. What does that indicate?We can use the confidence interval from (a) to test the hypotheses below. H0: μtop − μfront = 0HA :μtop − μfront ≠ 0 What’s the corresponding alpha level for this test?What do you conclude?

Given: mean cycle time (μtop − μfront) is (−40, −22).

Answered: A magazine examined top-loading and…

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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A magazine examined top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the magazine reported was “cycle time,” the number of minutes it took each machine to wash a load of clothes. The 98% confidence interval for the difference in mean cycle time (μtop − μfront) is (−40, −22).

The endpoints of this confidence interval are negative numbers. What does that indicate?
We can use the confidence interval from (a) to test the hypotheses below.

H0: μtop − μfront = 0

HA :μtop − μfront ≠ 0

What’s the corresponding alpha level for this test?

What do you conclude?

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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