1. You have the following random samples containing information on annual income (measured in thousands) and marital status for individuals living in urban and rural areas. Urban annual incomeUrban MarriedRural annual incomeRural Married33Yes22Yes56Yes81Yes88No19No43No26Yes28Yes38Yes42Yes101No105No31Yes90Yes29No21Yes35Yes47No39Yes57No66Yes19No99No118Yes18Yes77Yes92Yes50Yes65Yes31No48No The samples have the following standard deviations:S Urban = 30.41 S Rural= 29.26 Test the hypothesis that there is a difference in mean income between people living urban areas and rural areas. Use a 5% level of significance.Test the hypothesis that there is a difference in the proportion of people married between those living in urban areas and those living in rural areas. Use a 5% level of significance.

Note:As per guidelines we will solve the first question only, please repost other questions for more…

Answered: 1. You have the following random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

1. You have the following random samples containing information on annual income (measured in thousands) and marital status for individuals living in urban and rural areas.

Urban annual income	Urban Married	Rural annual income	Rural Married
33	Yes	22	Yes
56	Yes	81	Yes
88	No	19	No
43	No	26	Yes
28	Yes	38	Yes
42	Yes	101	No
105	No	31	Yes
90	Yes	29	No
21	Yes	35	Yes
47	No	39	Yes
57	No	66	Yes
19	No	99	No
118	Yes	18	Yes
77	Yes	92	Yes
50	Yes	65	Yes
31	No	48	No

The samples have the following standard deviations:

S Urban = 30.41 S Rural= 29.26

Test the hypothesis that there is a difference in mean income between people living urban areas and rural areas. Use a 5% level of significance.
Test the hypothesis that there is a difference in the proportion of people married between those living in urban areas and those living in rural areas. Use a 5% level of significance.

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 + ...

Expert Solution