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m whe t her Given the confidence Label the v 50.3<<63.7 find the theme Fo l c h e check in the mic ASRS of Solid cache 463 wi
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We know that the 100(1-\alpha) % confidence interval for population mean is given by:

(\overline{x}- Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+ Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})

i.e. (\overline{x}-E,\overline{x}+ E)

Acording to the question, \overline{x}-E=52.3,\overline{x}+ E=63.7

Solving these equations, we get,

\overline{x}=58,E=5.7

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