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Two Means - Unknown, Equal Variances Hypothesis Test - Excel definitions

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  • Pooled t Test

    Statistical method for comparing two means when population variances are assumed equal but unknown.
  • Null Hypothesis

    Assumption that two population means are equal, serving as the starting point for statistical testing.
  • Alternative Hypothesis

    Statement suggesting a difference exists between two population means, challenging the null hypothesis.
  • Alpha Level

    Threshold probability, such as 0.05, used to determine statistical significance in hypothesis testing.
  • p Value

    Probability measure indicating the strength of evidence against the null hypothesis in a statistical test.
  • Excel T.TEST Function

    Spreadsheet tool that calculates the probability value for comparing means, with options for test type.
  • Type Input

    Parameter in Excel’s T.TEST function specifying the test variant, with '2' indicating the pooled t test.
  • Two-Tailed Test

    Statistical test evaluating whether two means differ in either direction, not just greater or less.
  • Variance Assumption

    Condition that both populations have equal variability, justifying use of the pooled t test.
  • Sample Data

    Observed values from each group, used as input for statistical analysis and hypothesis testing.
  • Statistical Significance

    Conclusion that observed results are unlikely due to chance, typically when p value is below alpha.
  • Conclusion Statement

    Final interpretation of test results, indicating whether evidence supports or rejects the null hypothesis.
  • Random Samples

    Data subsets selected without bias from each population, ensuring valid statistical inference.
  • Standard Deviation

    Measure of data spread within each group, assumed equal for the pooled t test but value unknown.
  • Test Statistic

    Numerical summary of sample data used to assess evidence against the null hypothesis, often bypassed in Excel.