1. Consider the following conditions for various kinds of two-sample t-tests, an

Question

1. Consider the following conditions for various kinds of two-sample t-tests, and in each case, given the provided information, compute the p-value associated with the stated hypotheses. In each case, tcalc or zcalcrepresents values of the test statistic computed using standard formulas with sample values for means (or proportions) and the appropriately computed standard errors, and “n” refers to the sample size. In all cases, if degrees of freedom (d.f.) is required, use the following formula:d.f. = min(n1 - 1, n2 - 1)

b. H0: 1 - 2 0 H1: 1 - 2 < 0 tcalc = -1.8, n1 = 35, n2 = 35

Explanation / Answer

Here first the degrees of freedom are computed as:

d.f. = min(n1 - 1, n2 - 1) = min ( 34, 34 ) = 34

For 34 degrees of freedom and lower tailed test, the p-value is computed from the t distribution tables as:

P ( t34 < -1.8 ) = 0.0404

Therefore 0.0404 is the required p-value here.

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