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Name: The average age of licensed drivers in a county is (population mean =
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Description: The average age of licensed drivers in a county is (population mean = 42.6), (population standard deviation =12), and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers recieving spe

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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The average age of licensed drivers in a county is (population mean = 42.6), (population standard deviation =12), and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers recieving speeding tickets differed from the average age of the driving population. she obtained a sample of N=16 drivers recieving speeding tickets. The average age for this sample was M=34.4. Perform the six steps of hypothesis testing (outlined below) necessary to determine whether this group differs from the population of drivers in the county (using an alpha level of p< .05). athen, calculate the 95% confidence interval and effect size.

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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