Answered: In the 2010-2011 National Hockey League…

Name: In the 2010-2011 National Hockey League (NHL) regular season, the numb
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Description: In the 2010-2011 National Hockey League (NHL) regular season, the number of penalty minutes per game for each of the 30 teams reanged from a low of 8.8 for the Florida Panthers to a high of 18.0 for the New York Islanders. The mean for all 30 teams i

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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In the 2010-2011 National Hockey League (NHL) regular season, the number of penalty minutes per game for each of the 30 teams reanged from a low of 8.8 for the Florida Panthers to a high of 18.0 for the New York Islanders. The mean for all 30 teams is 12.20 penalty minutes per game with a standard deviation of 2.25. If we assume that this is a sample of all teams in all seasons, test to see if this provides evidence that the mean number of penalty minutes per game for hockey team is less than 13. Show all details of the test.

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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