A simple random sample from a normal distribution is taken in order to obtain a 95% confidence interval for the population mean. If the sample size is 11, the sample mean x is 32, and the sample standard deviation s is 12.6, what is the margin of error? Show your answer to 2 decimal places.

Question

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The Answer is

\mathrm { df } = 8 ; E = 2.228 \frac { 12.6 } { \sqrt { 11 } } = 8.46

A Simple Random Sample from a Normal Distribution Is Taken