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7.5: Sura ya Mapitio ya Mfumo

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    179855

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    7.1 Theorem ya Kati ya Kikomo kwa Njia za Mfano

    Theorem ya Kati ya Kikomo kwa Njia za Mfano:

    \(\overline{X} \sim N\left(\mu_{\overline{x}}, \frac{\sigma}{\sqrt{n}}\right)\)

    \(Z=\frac{\overline{X}-\mu_{\overline{X}}}{\sigma_{X}}=\frac{\overline{X}-\mu}{\sigma / \sqrt{n}}\)

    Maana\(\overline{X} : \mu_{\overline x}\)

    Theorem ya Kikomo ya Kati kwa Njia za Mfano z-alama\(z=\frac{\overline{x}-\mu_{\overline{x}}}{\left(\frac{\sigma}{\sqrt{n}}\right)}\)

    Hitilafu ya kawaida ya Maana (Kupotoka kwa kiwango\((\overline{X}) ) : \frac{\sigma}{\sqrt{n}}\)

    Kipengele cha Marekebisho ya Idadi ya Watu wa mwisho kwa ajili ya usambazaji wa sampuli ya njia:\(Z=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}} \cdot \sqrt{\frac{N-n}{N-1}}}\)

    Finite Idadi ya Watu Marekebisho Factor kwa ajili ya usambazaji sampuli ya idadi:\(\sigma_{\mathrm{p}^{\prime}}=\sqrt{\frac{p(1-p)}{n}} \times \sqrt{\frac{N-n}{N-1}}\)