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 two hours.
Part A
(i) Enter an exact number as an integer, fraction, or decimal.
x = hrs
(ii) Enter an exact number as an integer, fraction, or decimal.
sx = hrs
(iii) Enter an exact number as an integer, fraction, or decimal.
n =
(iv) Enter an exact number as an integer, fraction, or decimal.
n − 1 =
Part C
Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
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.)
(ii) Sketch the graph. (Round your answers to two decimal places. Enter your ????/2 to three decimal places.)
CL = | ||||||
= |
= | |||||
(iii) Calculate the error bound. (Round your answer to two decimal places.)
hrs