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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 1040 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 exceeds

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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If we have a sample of size 100 from a population of rope with sample mean breaking strength of 1040 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 exceeds 1000 pounds, what is our ALTERNATE HYPOTHESIS?

Mean breaking strength equals 1000 pounds

NONE OF THE OTHERs

Mean breaking strength is less than 1000 pounds

Mean breaking strength does not equal 1000 pounds

Mean breaking strength exceeds 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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