Suppose that a random sample of five observations was taken from a normal population whose variance is 25. The results are 8, 15, 12, 6, 7. Find the 99% confidence interval estimate of the population mean.
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Expert's answer
2021-03-16T02:40:35-0400
n=5,σ2=25
Sample mean
Xˉ=58+15+12+6+7=9.6
Standard deviation
σ=σ2=25=5
The critical value for α=0.01 is zc=z1−α/2=2.576.
The corresponding confidence interval is computed as shown below:
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