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Name: Let’s say Apple wanted to hypothesis a variance for defective products
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Description: Let’s say Apple wanted to hypothesis a variance for defective products. They know that defects can happen by human error and failed components. To be cost-effective they budget 10 out of every 100 phones manufactured will have some sort of defect. Th

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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Let’s say Apple wanted to hypothesis a variance for defective products. They know that defects can happen by human error and failed components. To be cost-effective they budget 10 out of every 100 phones manufactured will have some sort of defect. They have been seeing an increased number of defects and want to check if they are still averaging the 10 defects per 100.

The hypothesis would look like the following:

H_a: μ > 10

H₀: μ ≤ 10

If the null hypothesis is rejected then that means that the company’s assumption is right, and more than 10 devices are defective which is cutting into their bottom line.

Is this right? If yes or no, please explain why?

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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