Answer to Question #333767 in Statistics and Probability for Plangggg

Question #333767

The mean water consumption of 10 students in a week is 28 liters with a standard deviation of 1.6 liters. Consider 95% confidence level, the upper limit is


1
Expert's answer
2022-04-27T00:29:49-0400

The critical value for α=0.05\alpha = 0.05 and df=n1=9df = n-1 = 9 degrees of freedom is tc=z1α/2;n1=2.262156.t_c = z_{1-\alpha/2; n-1} = 2.262156.

The corresponding confidence interval is computed as shown below:


CI=(xˉtc×sn,xˉ+tc×sn)CI=(\bar{x}-t_c\times\dfrac{s}{\sqrt{n}}, \bar{x}+t_c\times\dfrac{s}{\sqrt{n}})

=(282.262156×1.610,28+2.262156×1.610)=(28-2.262156\times\dfrac{1.6}{\sqrt{10}}, 28+2.262156\times\dfrac{1.6}{\sqrt{10}})

=(26.85543,29.14457)=(26.85543, 29.14457)

The upper limit is 29.14457 liters.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment