# Two-Way Chi-Square test Using Excel - Statistics Homework Help

 Dec 4.1 4.45 5.75 5.05 5.2 4.95 4.6 4.55 4.6 4.4 4.25 4.15 4.15 4.05 4.1 4.2 4.2 4.2 3.9 3.65 3.55 3.25 3.15 3.4 3.45 3.6 3.7 3.55 3.4 3.25 3.35

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$\bar{X}=4.069,\,\,\,s=0.634$ $=\Pr \left( -6.5451\le Z\le -2.37453 \right)=0.008786$

${{\Phi }^{-1}}\left( 0.30 \right)=-0.5244$ ${{P}_{30}}=4.069-0.5244\times 0.634=3.74$ c) P84
${{P}_{84}}=4.069+0.634\times {{\Phi }^{-1}}\left( 0.84 \right)=4.7$ $0.95\times 31=29.45\approx 29$ $\Pr \left( -1.94\le Z\le 1.94 \right)=0.94762$ $0.94762\times 31=29.37623$ $\Pr \left( -1\le Z\le 1 \right)=0.683$ $0.683\times 31=21.16337\approx 21$ $\Pr \left( -1.94\le Z\le 1.94 \right)=0.94762$ $0.994\times 31=30.81525\approx 31$