A hypothesis test is performed at the 10% significance level to determine if the mean student loan debt (in thousands of dollars) of students at private universities and public universities are...




A hypothesis test is performed at the 10% significance level to determine if the mean student loan debt (in thousands of dollars) of students at private universities and public 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



PrivatePublicSample Size2818Sample Mean25.111.8Sample St. Dev.5.22.0

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








Select the correct answer below:










t=25.1−11.8(28)25.2+(18)22√≈0.75







t=5.2−2(28)225.1+(18)211.8√≈0.42







t=28−18(25.1)25.2+(11.8)22√≈0.72







t=25.1−11.8(5.2)228+(2)218√≈12.2







t=5.2−2(25.1)228+(11.8)218√≈0.58







t=28−18(5.2)225.1+(2)211.8√≈8.4













Jun 01, 2022
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