Answer:
2,157.89 KWH is the upper bound of the interval estimate for the population mean.
Step-by-step explanation:
We are given the following in the question:
Sample mean, [tex]\bar{x}[/tex] = 2,000 KWH
Sample size, n = 33
Alpha, α = 0.01
Population standard deviation, σ = 106 KWH
99% Confidence interval:
[tex]\mu \pm z_{critical}\dfrac{\sigma}{\sqrt{n}}[/tex]
Putting the values, we get,
[tex]z_{critical}\text{ at}~\alpha_{0.01} = 2.58[/tex]
[tex]2000 \pm 2.58(\dfrac{106}{\sqrt{3}} )\\\\ = 2000 \pm 157.89 \\\\= (1842.11,2157.89)[/tex]
2,157.89 KWH is the upper bound of the interval estimate for the population mean
