1.. A certain type of silk is manufactured with a mean tensile strength of 80.1 kilograms and a standard deviation of 6.2 kilograms. Assuming that the population is infinite, how is the standard error of the mean changed when the sample size is.increased from 70 to 102?decreased from 900 to 43?2. If the standard error of the mean for the sampling distribution of random samples of size 25 from a large or infinite population of 2, how large must the size of the sample become if the standard error is to be reduced to 1.4?

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Description: 1.. A certain type of silk is manufactured with a mean tensile strength of 80.1 kilograms and a standard deviation of 6.2 kilograms. Assuming that the population is infinite, how is the standard error of the mean changed when the sample size is.incre

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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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1.. A certain type of silk is manufactured with a mean tensile strength of 80.1 kilograms and a standard deviation of 6.2 kilograms. Assuming that the population is infinite, how is the standard error of the mean changed when the sample size is.

increased from 70 to 102?
decreased from 900 to 43?

2. If the standard error of the mean for the sampling distribution of random samples of size 25 from a large or infinite population of 2, how large must the size of the sample become if the standard error is to be reduced to 1.4?

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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