# 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.

###### Education

- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University

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