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Name: If we have a sample of size 100 from a population of rope with sample
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Description: If we have a sample of size 100 from a population of rope with sample mean breaking strength of 960 pounds with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength is less

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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If we have a sample of size 100 from a population of rope with sample mean breaking strength of 960 pounds with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength is less than 1000 pounds, then what is the TYPE I ERROR?

NONE OF THE OTHERS

The population mean was actually less than 960 pounds, but our data leads us to conclude it is at least 960 pounds,

The population mean breaking strength is at least 1000 pounds but our data leads us to conclude it is less than 1000 pounds.

The population mean breaking strength is not equal to 1000 pounds, but our data leads us to us to conclude it is equal to 1000 pounds.

The population mean breaking strength is actually less than 1000 pounds, but our data leads us to us to conclude it is at least 1000 pounds.

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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