Using the following data of public transportation passenger miles, Akron, OhioAlbuquerque, New MexicoAllentown, PennsylvaniaAnchorage, Alaska198223201216198323221217198423231217198524201517198623161517198720191618198819171616198921171616199020171616199120211614199222211717199322221615199420221615199521221615199621231516199724231517199825231617199924211818200023221819200123211920200223221918200327212020 (1) test the hypothesis that the mean values for public transportation passenger miles between 1982 and 2003 are the same for Akron, Ohio; Albuquerque, New Mexico; Allentown, Pennsylvania; and Anchorage, Alaska.(2) if the means are not equal, form a grouping for these cities’ public transportation means that is logically sound.

The data of public transportation passenger miles is as follows: Akron, Ohio Albuquerque, New…

Answered: Using the following data of public…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Using the following data of public transportation passenger miles,

	Akron, Ohio	Albuquerque, New Mexico	Allentown, Pennsylvania	Anchorage, Alaska
1982	23	20	12	16
1983	23	22	12	17
1984	23	23	12	17
1985	24	20	15	17
1986	23	16	15	17
1987	20	19	16	18
1988	19	17	16	16
1989	21	17	16	16
1990	20	17	16	16
1991	20	21	16	14
1992	22	21	17	17
1993	22	22	16	15
1994	20	22	16	15
1995	21	22	16	15
1996	21	23	15	16
1997	24	23	15	17
1998	25	23	16	17
1999	24	21	18	18
2000	23	22	18	19
2001	23	21	19	20
2002	23	22	19	18
2003	27	21	20	20

(1) test the hypothesis that the mean values for public transportation passenger miles between 1982 and 2003 are the same for Akron, Ohio; Albuquerque, New Mexico; Allentown, Pennsylvania; and Anchorage, Alaska.

(2) if the means are not equal, form a grouping for these cities’ public transportation means that is logically sound.

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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Step 1

The data of public transportation passenger miles is as follows:

	Akron, Ohio	Albuquerque, New Mexico	Allentown, Pennsylvania	Anchorage, Alaska
1982	23	20	12	16
1983	23	22	12	17
1984	23	23	12	17
1985	24	20	15	17
1986	23	16	15	17
1987	20	19	16	18
1988	19	17	16	16
1989	21	17	16	16
1990	20	17	16	16
1991	20	21	16	14
1992	22	21	17	17
1993	22	22	16	15
1994	20	22	16	15
1995	21	22	16	15
1996	21	23	15	16
1997	24	23	15	17
1998	25	23	16	17
1999	24	21	18	18
2000	23	22	18	19
2001	23	21	19	20
2002	23	22	19	18
2003	27	21	20	20