A hypothesis test is performed at the 10% significance level to determine if the mean time of faculty contact (in hours per week) with students at research universities and non-research universities are different. The hypotheses were determined and data was collected in the table below for both samples.H0:μ1≥μ2, Ha:μ1<μ2α=0.1 ResearchNon-ResearchSample Size2016Sample Mean9.716.8Sample St. Dev.1.73.2What is the test statistic (t-value) for this two-mean hypothesis test? Select the correct answer below: t=20−16(9.7)21.7+(16.8)23.2√≈0.33 t=1.7−3.2(9.7)220+(16.8)216√≈−0.32 t=9.7−16.8(20)21.7+(16)23.2√≈−0.4 t=1.7−3.2(20)29.7+(16)216.8√≈−0.2 t=9.7−16.8(1.7)220+(3.2)216√≈−8.02 t=20−16(1.7)29.7+(3.2)216.8√≈4.2

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Description: A hypothesis test is performed at the 10% significance level to determine if the mean time of faculty contact (in hours per week) with students at research universities and non-research universities are different. The hypotheses were determined and d

Given; Sample size Sample mean Sample st dev Research 20 9.7 1.7 Non research 16 16.8 3.2 Null and alternate hypothesis is- H0:μ1≥μ2Ha:μ1<μ2α=0.1Correct answer is (5). t statistic is given as; t=9.7-16.81.7220+3.2216=-7.10.1445+0.64=-7.10.8857=-8.0162≈-8.02

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A hypothesis test is performed at the 10% significance level to determine if the mean time of faculty contact (in hours per week) with students at research universities and non-research universities are different. The hypotheses were determined and data was collected in the table below for both samples.

H0:μ1≥μ2, Ha:μ1<μ2
α=0.1

ResearchNon-ResearchSample Size2016Sample Mean9.716.8Sample St. Dev.1.73.2

What is the test statistic (t-value) for this two-mean hypothesis test?

Select the correct answer below:

t=20−16(9.7)21.7+(16.8)23.2√≈0.33

t=1.7−3.2(9.7)220+(16.8)216√≈−0.32

t=9.7−16.8(20)21.7+(16)23.2√≈−0.4

t=1.7−3.2(20)29.7+(16)216.8√≈−0.2

t=9.7−16.8(1.7)220+(3.2)216√≈−8.02

t=20−16(1.7)29.7+(3.2)216.8√≈4.2

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