Suppose that a committee is studying whether or not there is waste of time in ou

Question

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 seven hours with a sample standard deviation of two hours Part (a) Part (b) Part (c) Part (d) Construct a 95% confidence interval for the population mean time wasted (i) State the confidence interval. (Round your answers to two decimal places.) hrs (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) CL= (iii) Calculate the error bound. (Round your answer to two decimal places.) hrs

Explanation / Answer

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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 seven hours with a sample standard deviation of two hours.
a.
i. x-bar = 7__________
ii. sx = 2__________
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

Construct a 95% confidence interval for the population mean time wasted

x-bar = 7
ME = 1.96*2/sqrt(81) = 0.43
95% CI: 7-0.43 < u < 7+0.43
95% CI: 6.57 < u < 7.43

i. State the confidence interval.

We are 95% confident that the population mean waiting time is
between 6.57 and 7.43 hours
ii. Sketch the graph.
iii. Calculate the error bound.

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