Scenario: Gary GradStudent suspects that the average household size may have increased over timeas people increasingly struggle to make ends meet. Use the below output from the GSS to test hishypothesis.Group StatisticsGSS year for thisStd. ErrorrespondentMeanStd. DeviationMeanNumber of persons inhousehold198814812.621.406,037201823482.351.334.028Independent Samples TestLevene's Test for Equality ofVariancest-test for Equality of Means95% Confidence Interval of theDifferenceMeanStd. ErrorFSig.tdfSig. (2-tailed)DifferenceDifferenceLowerUpperNumber of persons inEqual variances18.408.0005.9943827.000271.045.182.360householdassumedEqual variances not5.9233022.712.000.271.046.181361assumedQuestion: What are the assumptions for this hypothesis test? (Select all that apply)The population distribution(s) have a non-normal shape.The population distribution(s) have a normal shape.The dependent variable is categoricalThe sample(s) are large (n>30).There is one random sample.The sample(s) were not collected at random.The dependent variable is quantitativeThere are two independent random samples.The shape of the population distribution(s) is unknown.The sample(s) are small (n<30).O O 0 00

Given: 2 independent sample output

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 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 Si. df Sig. (2-tailed) Difference Lower Upper Equal variances Number of persons in household 18.408 .000 5.994 3827 .000 271 .045 .182 360 assumed Equal variances not assumed 5.923 3022.712 .000 .271 .046 .181 .361 Question: What are the assumptions for this hypothesis test? (Select all that apply) The population distribution(s) have a non-normal shape. The population distribution(s) have a normal shape. The dependent variable is categorical The sample(s) are large (n>30). There is one random sample. The sample(s) were not collected at random. The dependent variable is quantitative There are two independent random samples. The shape of the population distribution(s) is unknown. The sample(s) are small (n<30).

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 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 Si. df Sig. (2-tailed) Difference Lower Upper Equal variances Number of persons in household 18.408 .000 5.994 3827 .000 271 .045 .182 360 assumed Equal variances not assumed 5.923 3022.712 .000 .271 .046 .181 .361 Question: What are the assumptions for this hypothesis test? (Select all that apply) The population distribution(s) have a non-normal shape. The population distribution(s) have a normal shape. The dependent variable is categorical The sample(s) are large (n>30). There is one random sample. The sample(s) were not collected at random. The dependent variable is quantitative There are two independent random samples. The shape of the population distribution(s) is unknown. The sample(s) are small (n<30).

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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