Camio Electronics Corporation makes electric diodes It is known thatthe standard deviation of the lives of these diodes is 148 hours Thecompany’s research department takes a sample of 90 such diodes andfinds that the mean life of these diodes is 2255 hours What is theprobability that this sample means is:a. not within 25 hours of the mean life of all diodes produced by thiscompany?b. more than the population mean by 20 hours or more? Camio Electronics Corporation makes electric diodes. It is known thatthe standard deviation of the lives of these diodes is 148 hours. Thecompany's research department takes a sample of 90 such diodes andfinds that the mean life of these diodes is 2255 hours. What is theprobability that this sample means is:not within 25 hours of the mean life of all diodes produced by thiscompany?a.b.more than the population mean by 20 hours or more?

Central limit theorem: The central limit theorem states that the sampling distribution of the sample…

Answered: Camio Electronics Corporation makes…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Camio Electronics Corporation makes electric diodes It is known that
the standard deviation of the lives of these diodes is 148 hours The
company’s research department takes a sample of 90 such diodes and
finds that the mean life of these diodes is 2255 hours What is the
probability that this sample means is:
a. not within 25 hours of the mean life of all diodes produced by this
company?
b. more than the population mean by 20 hours or more?

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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