Answered: Waterfall Heights Is there 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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Waterfall Heights Is there a significant difference at α=0.10 in the mean heights in feet of waterfalls in Europe and the ones in Asia? The data are shown. Use the critical value method with tables.

Europe____________|____________Asia

487 1312 614 320

900 1385 350 830

1246 722

Use μ1 for the mean height of waterfalls in Europe. Assume the variables are normally distributed and the variances are unequal.

State the hypotheses and identify the claim with the correct hypothesis.

H0: μ1=μ2

▼not claim

H1: μ1≠μ2

▼claim

This hypothesis test is a ▼two-tailed test.

Find the critical value(s). Round the answer(s) to three decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

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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