Answer to Question #304765 in Statistics and Probability for Pinder

Question #304765

A sample of 25 elements from a normally distributed population is selected.the sample mean is 10.assuming a population standard deviationog 4, determine the 95%confidence interval for mean ?


1
Expert's answer
2022-03-03T13:58:20-0500

95%CI=(xˉz0.025sn,xˉ+z0.025sn)=95\%CI=(\bar x-z_{0.025}\frac{s}{\sqrt{n}},\bar x+z_{0.025}\frac{s}{\sqrt{n}})=

=(101.96425,10+1.96425)=(8.432,11.568).=(10-1.96\frac{4}{\sqrt{25}},10+1.96\frac{4}{\sqrt{25}})=(8.432,11.568).


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