RanyaQ621702 RanyaQ621702
  • 25-10-2022
  • Mathematics
contestada

If n=21, ¯x (x-bar)=39, and s=8, find the margin of error at a 90% confidence levelGive your answer to two decimal places.

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AlaeyahR32595 AlaeyahR32595
  • 25-10-2022

Given

[tex]\begin{gathered} n=21 \\ \bar{x}=39 \\ s=8 \\ C.I=90\text{\%=1.645} \end{gathered}[/tex]

Explanation

The margin of error formula is given as;

[tex]M.E=z_{\frac{a}{2}}\times\frac{s}{\sqrt{n}}[/tex]

Therefore, we will have;

[tex]\begin{gathered} M.E=1.645\times\frac{8}{\sqrt{21}} \\ M.E=2.87 \\ \end{gathered}[/tex]

Answer: 2.87

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