Question

For a certain experiment, we were able to obtain five samples with mean = 25. Assume that the sample is coming from a normal distribution with o = 9(o is the greek symbol, forget the name.

Compute 95% upper confidence bound for the population mean mew. I keep getting 32.889. Want to check to see if thats right.

Answer 1

The sample mean x bar = 25
The sample size n = 5
The population standard deviation sigma = 9
The 95% upper confidence bound for the population mean is found from:
\[xbar+1.96\frac{\sigma}{\sqrt{n}}=25+(1.96\frac{9}{\sqrt{5}})\]
This calculates out to the same result as you get.