Answered: State the null hypothesis H0 and the…

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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(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the p-value. (Round to three or more decimal places.)

(e)	Can we conclude that the mean appreciation rate of houses in Sun Beach, μ1 , is higher than μ2 , the mean appreciation rate of houses in North Arden?
Yes No

Transcribed Image Text:According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found thirteen recently sold homes in Sun Beach and thirteen recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the twenty-six houses. Appreciation rates in percent Sun Beach 11.8,7.0, 13.1, 12.1,9.3, 10.0, 13.1,9.4, 10.5, 11.8, 11.4, 9.5, 11.6 North Arden 9.0, 7.2, 9.2, 9.9, 8.4, 9.6, 9.2, 11.4, 10.6, 8.6, 10.5, 9.8, 10.0 Send data to calculator Send data to Excel Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that the mean appreciation rate of houses in Sun Beach, u,, is higher than l,, the mean appreciation rate of houses in North Arden? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

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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