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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

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.

  • H0:12, Ha:1<2
  • =0.1

Sample Size Sample Mean Sample St. Dev.
Research 20 9.7 1.7
Non-Research 16 16.8 3.2

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

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