Statistics questions

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Mathematics

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Explanation & Answer

First, calculate the critical Z-value for the 85% confidence interval:

Z_crit = Norm.inv ( 0.925, 0, 1 ) = 1.44

The standard error for our sample will be given by sigma/sqrt(n) = 9.3/sqrt(397) = 0.467

So, the confidence interval is given by Mean +/- Z_crit x Standard error

= 18.2 +/- 1.44 x 0.467

= 17.5 (lower) and 18.9 (upper)


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