Reference no: EM132324214
Question 1: Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:
|
Sample
|
Sample Mean (cm)
|
Range (cm)
|
|
1
|
10.002
|
0.011
|
|
2
|
10.002
|
0.014
|
|
3
|
9.991
|
0.007
|
|
4
|
10.006
|
0.022
|
|
5
|
9.997
|
0.013
|
|
6
|
9.999
|
0.012
|
|
7
|
10.001
|
0.008
|
|
8
|
10.005
|
0.013
|
|
9
|
9.995
|
0.004
|
|
10
|
10.001
|
0.011
|
|
11
|
10.001
|
0.014
|
|
12
|
10.006
|
0.009
|
a) Determine the upper and lower control limits and the overall means for x‾- charts and R-charts.
b) Draw the charts and plot the values of the sample means and ranges.
c) Do the data indicate a process that is in control?
d) Why or why not? PX
Question 2: Develop a flowchart for one of the following:
a) Filling up with gasoline at a self-serve station.
b) Determining your account balance and making a withdrawal at an ATM.
c) Getting a cone of yogurt or ice cream from an ice cream store.
Question 3: Kenora Electric Generators has been getting many complaints from its major customer, Home Station, about the qual¬ity of its shipments of home generators. Daniel Magill, 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 customers' stores. The forms for the first 279 shipments have been turned in. They show the following over the past eight weeks:
|
No. of
Ship-
No. of ments
Ship- With
Week ments Defects
|
Reason for Defective Shipment
Incorrect Incorrect
Bill of Truck- Damaged Trucks
Lading load Product Late
|
|
1
|
23
|
5
|
2
|
2
|
1
|
|
|
2
|
31
|
8
|
1
|
4
|
1
|
2
|
|
3
|
28
|
6
|
2
|
3
|
1
|
|
|
4
|
37
|
11
|
4
|
4
|
1
|
2
|
|
5
|
35
|
10
|
3
|
4
|
2
|
1
|
|
6
|
40
|
14
|
5
|
6
|
3
|
|
|
7
|
41
|
12
|
3
|
5
|
3
|
1
|
|
8
|
44
|
15
|
4
|
7
|
2
|
2
|
Even though Daniel 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 eight weeks shows the following:
a) Develop a scatter diagram using total number of shipments and number of defective shipments. Does there appear to be any relationship?