Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loy
alty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 15 minutes of the promised time), late (package delivered more than 15 minutes past the promised time), or lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time. Speedy collected the following data for last month's performance: On-time On-time Early Late On-time On-time On-time On-time Late On-time
Early On-time Early Early On-time On-time On-time On-time On-time On-time
Early On-time Early On-time On-time On-time Early On-time On-time On-time
Early On-time On-time On-time Early Early On-time On-time On-time Early
Early Late Late On-time On-time On-time On-time On-time On-time On-time
On-time Late Early On-time Early On-time Lost On-time On-time On-time
Early Early On-time On-time Late Early On-time On-time On-time On-time
On-time On-time Early On-time Early On-time Early On-time Late On-time
On-time Early On-time On-time On-time Late On-time On-time On-time On-time
On-time On-time On-time On-time On-time Early Early On-time On-time On-time
Required:
a. What scale is used to measure delivery performance? What kind of variable is delivery performance?
b. Construct a frequency table for delivery performance for last month.
c. Construct a relative frequency table for delivery performance last month. (Round your answers to 2 decimal places.)
d. Analyze the data summaries and write an evaluation of last month's delivery performance as it relates to Speedy Swift's performance objectives.
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.