Answered: A consumer electronics firm has…

Name: A consumer electronics firm has developed a new type of remote control
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming intermittent. The best button on the market lasts an average of 1200 hours. A random sample of 36 new buttons is select

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 consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming intermittent. The best button on the market lasts an average of 1200 hours. A random sample of 36 new buttons is selected and each is tested in continuous operation until becoming intermittent. The resulting lifetime of each button was recorded and found to have a sample mean of 1275 hours.

What is the statistical conclusion, and why?

A) reject Ho, p-value > 0.05

B) accept (fail to reject) Ho, p-value < 0.05

C) accept (fail to reject) Ho, p-value > 0.05

D) reject Ho, p-value < 0.05

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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