Answered: a) state the null and alternative…

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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Question

a) state the null and alternative hypotheses of a one-sided significance test to test that the population mean of work hours per week for Americans who where not-married is less than for Americans who where married. b) calculate test statistic. c) Show how to make conclusion for the test, using significance level α(alfa)=0.05. Interpret conclusion in the context of this problem.

A random sub-sample of size
70 individuals is selected from the 2017
!!
data of the American Community Survey, 1-year estimates. The numbers of
hours of work per week for not married and married individuals are
summarized below.
Sample standard
Group
Sample size
Sample mean
deviation
Not married
39
22.9
19.9
Married
31
27.5
20.1

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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