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Question Number 75325 by TawaTawa last updated on 09/Dec/19

Answered by MJS last updated on 10/Dec/19

$$z_A=\frac{500-524.66}{15.01}\approx -1.643$$$$z_B=\frac{500-528.21}{15.01}\approx -1.879$$$$1-\frac{1}{\sqrt{2\pi }}\underset{z_A}{\stackrel{\mathrm{\infty }}{\int }}{\mathrm{e}}^{-\frac{x^2}{2}}dx\approx .05\Rightarrow 5\mathrm{\%}\mathrm{rejected}\mathrm{from}\mathrm{A}$$$$1-\frac{1}{\sqrt{2\pi }}\underset{z_B}{\stackrel{\mathrm{\infty }}{\int }}{\mathrm{e}}^{-\frac{x^2}{2}}dx\approx .03\Rightarrow 3\mathrm{\%}\mathrm{rejected}\mathrm{from}\mathrm{B}$$

Commented by TawaTawa last updated on 10/Dec/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir},\mathrm{i}\mathrm{really}\mathrm{appreciate}$$

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