The manufacturer of LED lights would like to include as part of their advertising the number of hours an LED is expected to work. A sample of 20 lights revealed the following number of hours worked. 2698 2628 2474 2895 2672 2675 2486 2852 2733 26552765 2794 2486 2627 2624 2785 2692 2654 2518 2650 Draw a normal probability plot for the above data and make comment.Assuming given data to be approximately normally distributed, Construct 90%, 95%, and 99% confidence intervals for the mean number of hours that the LED lights of this brand have worked.Construct 90%, 95%, and 99% confidence intervals for the standard deviation of the number of hours that the LED lights of this brand worked.

Name: The manufacturer of LED lights would like to include as part of their
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The manufacturer of LED lights would like to include as part of their advertising the number of hours an LED is expected to work. A sample of 20 lights revealed the following number of hours worked. 2698 2628 2474 2895 2672 2675 248

The data given is: 2698, 2628, 2474, 2895, 2672 , 2675, 2486, 2852, 2733,…

Answered: The manufacturer of LED lights would…

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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The manufacturer of LED lights would like to include as part of their advertising the number of hours an LED is expected to work. A sample of 20 lights revealed the following number of hours worked.

2698 2628 2474 2895 2672 2675 2486 2852 2733 2655

2765 2794 2486 2627 2624 2785 2692 2654 2518 2650

Draw a normal probability plot for the above data and make comment.
Assuming given data to be approximately normally distributed, Construct 90%, 95%, and 99% confidence intervals for the mean number of hours that the LED lights of this brand have worked.
Construct 90%, 95%, and 99% confidence intervals for the standard deviation of the number of hours that the LED lights of this brand worked.

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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