1 Suppose the following sample data represent the n15 execut

1. Suppose the following sample data represent the n=15 execution times for 15 randomly selected computing jobs in
microseconds.
120, 1376, 1381, 1400, 1406, 1418, 1438, 1457, 1460, 1466, 2470, 2885, 3486, 3490, 5920
a. Find and then graph the box plot for the data.

b. Find the lower and upper fences and then check whether data point 120 and 5920 should be considered as an outliers

2. The time that takes to complete a certain type of construction projects has a mean of 35.5 months and a standard deviation of
1.5 months.
[ 5] a. According to the Tchebysheff’s theorem, at least what percentage of these projects must have taken between 26.5 months
and 44.5 months to complete?
Work:
[ 5] b. If in addition we are told that the relative frequency curve for the completion times is a bell-shaped curve, then
approximately what percentage of these projects would take more than 34 months to completed?
Work:
[5] c. If the z-score for the completion time of a project is -2.6, find the completion time for that project.

Solution