Answered: (a)What are the hypotheses? (b)What is…

Name: Suppose a group is interested in determining whether teenagers obtain
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Description: Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their a

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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Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their age at which the teenagers obtained their drivers licenses and is summarized in the table below. Test the hypothesis that the five regions produce the same mean average for a teenage driver’s license.

Northeast	South	West	Central	East
16.3	16.9	16.4	16.2	17.1
16.1	16.5	16.5	16.6	17.2
16.4	16.4	16.6	16.5	16.6
16.5	16.2	16.1	16.4	16.8

(a)What are the hypotheses?

(b)What is the F – Statistic?

(d) What can you conclude about the null hypothesis?

(e) What can you conclude about the population means?

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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