# Answer to Question #2263 in Abstract Algebra for bianco perry

Question #2263

Use the given degree of confidence and sample data to construct a confidence interval for the population mean u. Assume that the poplution has a normal distribution

n=10 x=8.7, s=3.3, 95%confidence

n=10 x=8.7, s=3.3, 95%confidence

Expert's answer

For normal distribution 95% interval Z = 1.96:

Upper limit:& x + 1.96*s/sqrt(n) = 8.7 + 1.96*3.3/sqrt(10) =10.75

Lower limit:& x - 1.96*s/sqrt(n) = 8.7 - 1.96*3.3/sqrt(10) =6.65

Upper limit:& x + 1.96*s/sqrt(n) = 8.7 + 1.96*3.3/sqrt(10) =10.75

Lower limit:& x - 1.96*s/sqrt(n) = 8.7 - 1.96*3.3/sqrt(10) =6.65

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