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Ages of self-employed immigrants. Is self-employment for

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich ISBN: 9780321826237 51

Solution for problem 25E Chapter 8

Statistics for Business and Economics | 12th Edition

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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

Statistics for Business and Economics | 12th Edition

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Problem 25E

Problem 25E

Ages of self-employed immigrants. Is self-employment for immigrant workers a faster route to economic advancement in the country? This was one of the questions studied in research published in the International Journal of Manpower (Vol. 32, 2011). One aspect of the study involved comparing the ages of self-employed and wage-earning immigrants. The researcher found that in Sweden, native wage earners tend to be younger than selfemployed natives. However, immigrant wage earners tend to be older than self-employed immigrants. This inference was based on summary statistics for male Swedish immigrants shown in the table.

a. Based on the information given, why is it impossible to provide a measure of reliability for the inference “Selfemployed immigrants are younger, on average, than wage-earning immigrants in Sweden”?

b. What information do you need to obtain a measure of reliability for the inference, part a?

c. Give a value of the test statistic that would lead you to conclude that the true mean age of self-employed immigrants is less than the true mean age of wage-earning immigrants if you are willing to risk a Type I error rate of .01.

d. Assume that s, the standard deviation of the ages, is the same for both self-employed and wage-earning immigrants. Give an estimate of s that would lead you to conclude that the true mean age of self-employed immigrants is less than the true mean age of wage-earning immigrants using α = .01.

e. Is the true value of s likely to be larger or smaller than the one you calculated in part d?

Step-by-Step Solution:

Solution :

Step 1 of 5:

The given problem explain about ages of self-employed immigrants.

Given this inference was based on summary statistics for male Swedish immigrants the table is given below.

Self-Employed Immigrants

Wage-Earning Immigrants

Sample Size

870

84875

Mean Age (years)

44.88

46.79

a). Now we have to find why is it impossible to provide a measure of reliability for the inference “Self Employed immigrants are younger, on average, than Wage-earning immigrants in Sweden”.

From the given information no measure of the variability or variance of the data.

Hence we cannot provide a measure of reliability.


Step 2 of 5

Chapter 8, Problem 25E is Solved
Step 3 of 5

Textbook: Statistics for Business and Economics
Edition: 12
Author: James T. McClave, P. George Benson, Terry T Sincich
ISBN: 9780321826237

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Ages of self-employed immigrants. Is self-employment for