Average Debt of College Graduates Kiplinger’s listed the top 100 public colleges based on many factors. From that list, here is the average debt at graduation for various schools in four selected states. At α=0.05, can it be concluded that the average debt at graduation differs for these four states?New YorkVirginiaCaliforniaPennsylvania18,70012,85916,73326,80017,37521,67814,29125,17920,00017,39514,32319,64552,59116,00017,10720,93124,41518,54715,15520,148a.State the null hypotheses H0: u1=u2=u3=u4/ CLAIM OR NOT CLAIM H1: At least one mean is different than the others/ CLAIM OR NOT CLAIMb.Determine the p-valuec. Make the decisionsd. Summarize the results

There are 4 independent samples which are New York, Virginia, California and Pennsylvania. We have…

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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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Average Debt of College Graduates Kiplinger’s listed the top 100 public colleges based on many factors. From that list, here is the average debt at graduation for various schools in four selected states. At α=0.05, can it be concluded that the average debt at graduation differs for these four states?

New York	Virginia	California	Pennsylvania
18,700	12,859	16,733	26,800
17,375	21,678	14,291	25,179
20,000	17,395	14,323	19,645
52,591	16,000	17,107	20,931
24,415	18,547	15,155	20,148

a.State the null hypotheses
H0: u1=u2=u3=u4/ CLAIM OR NOT CLAIM
H1: At least one mean is different than the others/ CLAIM OR NOT CLAIM

b.Determine the p-value
c. Make the decisions
d. Summarize the results

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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