Answered: Below is data from a sample of elected…

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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Below is data from a sample of elected presidents and their main opponent in the same year. Is there sufficient evidence (at significance level=0.05) to show that president elects are taller than the losing candidate?

Ht of President (cm): 189 173 183 180 179 184 184

Ht of opponent (cm): 170 180 175 180 177 180 179

1. H^0: ?

2. H^1: ?

3. Critical value(s):?

4. Graph rejection regions with labelled critical value(s)

5. Test statistic: State what test stat is being used (z, t, etc.) the formula being used, and what values are substituted into the formula.

6. P-value ?

7. State the conclusion of the test in the context of the problem (for example, not just "reject null", but what does it mean for this specific problem):

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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