Answer Happy

Boston Electric Generators has been getting many complaints from
its major customer, Home Station, about the quality of its
shipments of home generators. Mr Debron Du Plessis, the plant
manager, is alarmed that a customer is providing him with the only
information the company has on shipment quality. He decides to
collect information on defective shipments through a form he has
asked his drivers to complete on arrival at customer’s stores. The
forms for the first 279 shipments over the past 8 weeks have been
turned in and presented in Table 1. Even though Mr Du Plessis
increased his capacity by adding more workers to his normal
contingent of 30, he knew that for many weeks he exceeded his
regular output of 30 shipments per week. A review of his turnover
over the past 8 weeks is presented in Table 2.
Table 1
week
No. of
Shipments
Reason for Defective
Shipment
Proportion of
Defective Shipments
Incorrect Bill of
Lading
Incorrect
Truck-Load
Damaged
Product
Trucks
Late
1
20
2
2
1
0
?
2
32
1
4
1
2
?
3
28
2
4
1
0
?
4
44
4
4
1
2
?
5
20
1
3
1
0
?
6
56
5
6
3
0
?
7
36
2
5
1
1
?
8
60
4
7
2
2
?
Table 2
Week
No. of New
Hires
No. of
Terminations
Total No. of
Workers
1
1
0
30
2
2
1
31
3
3
2
32
4
2
0
34
5
2
2
34
6
2
4
32
7
4
1
35
8
3
2
36
4.5. Develop a scatter diagram using the variable “turnover”
(number of new hires plus number of terminations) and the number of
defective shipments.
4.6. Does the diagram depict a relationship between the two
variables?