SOLUTION: Please help me with this problem: Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time

Question 1049354: Please help me with this problem:
Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours.
a.
i. x � = __________
ii. sx = __________
iii. n = __________
iv. n � 1 = __________
b. Define the random variables X and X � in words.
c. Which distribution should you use for this problem? Explain your choice.
d. Construct a 95% confidence interval for the population mean time wasted.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
e. Explain in a complete sentence what the confidence interval means.
I'm not sure where to begin with this :(

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours.
a.
i. x-bar = 8__________
ii. sx = 4__________
iii. n = 81__________
iv. n � 1 = 80__________
b. Define the random variables X and X � in words.
X is wait time per individual
X-bar is the mean of the sample means of size 81
c. Which distribution should you use for this problem? Explain your choice.
normal distribution
d. Construct a 95% confidence interval for the population mean time wasted.
x-bar = 8
ME = 1.96*4/sqrt(81) = 0.71
95% CI: 8-0.71 < u < 8+0.71
95% CI: 7.29 < u < 8.71
i. State the confidence interval.
We are 95% confident that the population mean waiting time is
between 7.29 and 8.71 hours
ii. Sketch the graph.
iii. Calculate the error bound.
e. Explain in a complete sentence what the confidence interval means.
-----
Cheers,
Stan H.
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