A two-sample test for means was conducted to determine if the completion time for continuing education programs for nurses differed when costs are paid by employers (Yes) versus when individuals paid out of his or her own funds (No). The Excel Data Analysis tool results are shown next.

a. Explain how to use this information to draw a conclusion if the null hypothesis is H₀: μ_Y - μ_N ≤ 0. Clearly state the correct critical value and p-value and your conclusion. 

b. Explain how to use this information to draw a conclusion if the null hypothesis is H₀: μ_Y - μ_N ≥ 0. Clearly state the correct critical value and p-value and your conclusion. 

c. Explain how to use this information to draw a conclusion if the null hypothesis is H₀: μ_Y - μ_N = 0. Clearly state the correct critical value and p-value and your conclusion.  

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t-Test: Two-Sample Assuming Unequal Variances Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Yes 33.846 446.474 13 0 16 0.648 0.263 1.746 0.526 2.12 No 28.125 349.554 8