A certain test has a population mean (mu) of 285 with a
population standard deviation (sigma) or 125. You take an SRS of
size 400 find that the sample mean (x-bar) is 288.
The sampling distribution of x-bar is approximately Normal with
mean:
The sampling distribution of x-bar is approximately Normal with
standard deviation:
Based on this sample, a 90% confidence interval for mu is:
Based on this sample, a 95% confidence interval for mu is:
Based on this sample, a 99% confidence interval for mu is:
To calculate the confidence intervel we will use z distribution.
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