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t-Test of Two Samples

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Using the Data Collection attached, perform the following statistical operations and compile your results in a Microsoft Word document:
? State a research (non-directional) hypothesis and a null hypothesis about the populations
? Determine the cutoff sample score of t at ±=.05
? Calculate a mean and variance for each sample of raw scores
? Calculate the pooled variance, the variance for each comparison distribution, and then the standard error term
? Determine the obtained value of t
? Conduct the hypothesis test
? Interpret and report on your findings (in English and statistical notation)

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Solution Summary

The solution provides step-by-step method of performing a two-tailed hypothesis t-test of two samples. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details. The calculations have also been shown in EXCEL for better understanding.

Solution provided by:
Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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