Espan e General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are hat is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical ek?" 're interested in examining whether or not there are differences in the typical work week length based on the level of education of the worker. We perform a e-way, independent-samples ANOVA test, with the "groups" in the ANOVA being categories of highest educational degree of the worker ("less than high hool," "bachelor's degree," etc.) and the variable being the number of hours written down by the worker in answering the survey question. Suppose that the results of our ANOVA are given in the ANOVA table below. Complete the missing cell of the ANOVA table (rounding your answer to two decimal places). Source of Degrees of Sum of Mean square Fstatistic variation freedom squares Treatments 1888.24 377.65 (between groups) Error (within 1012 106,506.8 105.24 groups) 1017 108,395.04 Total How many respondents total were examined in the ANOVA? ? For the ANOVA test, it is assumed that the population variance of hours worked per week is the same for each population of workers represented. What is an unbiased estimate of this common population variance based on the sample variances?
Espan e General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are hat is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical ek?" 're interested in examining whether or not there are differences in the typical work week length based on the level of education of the worker. We perform a e-way, independent-samples ANOVA test, with the "groups" in the ANOVA being categories of highest educational degree of the worker ("less than high hool," "bachelor's degree," etc.) and the variable being the number of hours written down by the worker in answering the survey question. Suppose that the results of our ANOVA are given in the ANOVA table below. Complete the missing cell of the ANOVA table (rounding your answer to two decimal places). Source of Degrees of Sum of Mean square Fstatistic variation freedom squares Treatments 1888.24 377.65 (between groups) Error (within 1012 106,506.8 105.24 groups) 1017 108,395.04 Total How many respondents total were examined in the ANOVA? ? For the ANOVA test, it is assumed that the population variance of hours worked per week is the same for each population of workers represented. What is an unbiased estimate of this common population variance based on the sample variances?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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O ANOVA, CHI-SQUARE AND NONPARAMETRIC TESTS
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ANOVA: Hypothesis tests and the ANOVA table
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The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are
"What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical
week?"
We're interested in examining whether or not there are differences in the typical work week length based on the level of education of the worker. We perform a
one-way, independent-samples ANOVA test, with the "groups" in the ANOVA being categories of highest educational degree of the worker ("less than high
school," "bachelor's degree," etc.) and the variable being the number of hours written down by the worker in answering the survey question.
(a) Suppose that the results of our ANOVA are given in the ANOVA table below. Complete the missing cell of the ANOVA table (rounding your answer to two
decimal places).
Source of Degrees of
Sum of
Mean square F statistic
?
varlation
variation
freedom
squares
Treatments
(between
5
1888.24
377.65
groups)
Error
(within
1012
106,506.8
105.24
groups)
Total
1017
108,395.04
(b) How many respondents total were examined in the ANOVA?
?
(c) For the ANOVA test, it is assumed that the population variance of hours worked per week is the same for each population of workers represented. What is an
unbiased estimate of this common population variance based on the sample variances?
?
(d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places.
?
(e) From the survey data, can we conclude that at least one of the populations differs significantly from the others in mean hours worked in a typical week? Use
the 0.10 level of significance.
O Yes
O No
?
Explanation
Check
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