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 8, the sample mean x is 22, and the sample standard deviation s is 6.3, what is the margin of error? Show your answer to 2 decimal places.

Question

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The Answer is

\mathrm { df } = 7 ; E = 2.365 \frac { 6.3 } { \sqrt { 8 } } = 5.869

A Simple Random Sample from a Normal Distribution Is Taken