Scenario: Gary GradStudent suspects that the average household size may have increased over time as people increasingly struggle to make ends meet. Use the below output from the GSS to test his hypothesis. Group Statistics GSS year for this Std. Error respondent N. Mean Std. Deviation Mean Number of persons in household 1988 1481 2.62 1.406 .037 2018 2348 2.35 1.334 .028 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Difference Std. Error Difference F Si. df Sig. (2-tailed) Lower Upper Number of persons in household Equal variances assumed 18.408 .000 5.994 3827 .000 .271 .045 .182 360 Equal variances not assumed 5.923 3022.712 .000 .271 .046 .181 .361 Question: Which of the following is the correct test statistic for this test? t = .271 t = 5.994 t = 18.408

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Scenario: Gary GradStudent suspects that the average household size may have increased over time
as people increasingly struggle to make ends meet. Use the below output from the GSS to test his
hypothesis.
Group Statistics
GSS year for this
respondent
Std. Error
N
Mean
Std. Deviation
Mean
Number of persons in
1988
1481
2.62
1.406
.037
household
2018
2348
2.35
1.334
.028
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Difference
Std. Error
Difference
Mean
F
Sig.
df
Sig. (2-tailed)
Difference
Lower
Upper
Number of persons in
Equal variances
assumed
18.408
.000
5.994
3827
.000
271
.045
182
.360
household
Equal variances not
assumed
5.923
3022.712
.000
.271
.046
.181
361
Question: Which of the following is the correct test statistic for this test?
t = .271
t = 5.994
t = 18.408
t = 3827
Transcribed Image Text:Scenario: Gary GradStudent suspects that the average household size may have increased over time as people increasingly struggle to make ends meet. Use the below output from the GSS to test his hypothesis. Group Statistics GSS year for this respondent Std. Error N Mean Std. Deviation Mean Number of persons in 1988 1481 2.62 1.406 .037 household 2018 2348 2.35 1.334 .028 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Std. Error Difference Mean F Sig. df Sig. (2-tailed) Difference Lower Upper Number of persons in Equal variances assumed 18.408 .000 5.994 3827 .000 271 .045 182 .360 household Equal variances not assumed 5.923 3022.712 .000 .271 .046 .181 361 Question: Which of the following is the correct test statistic for this test? t = .271 t = 5.994 t = 18.408 t = 3827
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