Friday, August 31, 2012

A2, D3, D4 value chart, quality control..

The A2, D3, D4 chart is here..

ge..

Assignment 2

Assignment 2 (Last date 5 th Sept, 2012..)

1. The MRF tyre company produces tyres for automobiles, trucks. The company wants to establish a quality chart to monitor the production process and maintain its quality.
The company has taken 20 samples (one per day) of 100 tyres per sample, and inspected them for defects, the results of which are as follows.

Sample No.  Defectives    Sample no.        Defectives

1                    14                    11                    18
2                    12                    12                    10
3                      9                    13                    19
4                    10                    14                    20
5                    11                    15                    17
6                      7                    16                    18
7                      8                    17                    18
8                    14                    18                    22
9                    16                    19                    24
10                  17                    20                    23

Construct the appropriate quality chart using 3 sigma limits and describe the variation in the process.

2. A park management wanted to ensure it gives nest service to its customers. It checks the park regularly ans wants to keep the defects throughout the park to less than 10. However, when it did a random inspection of 20 days in previous 3 months, it was found that the defects were distributed as given below.

day / defects - 1/7, 2/14, 3/6, 4/9, 5/12, 6/3,  7/11, 8/7, 9/7, 10/8,11/14,12/12,13/11,14/12,15/9,16/13,17/7,18/15,19/11,20/16

Construct the appropriate conrol chart for this process and indicate if the process was out of control at any point of time.

3. Coca cola bottling company in Bangalore is looking at ways to improve the quality of the bottling process. It has collected samples over 25 days of 5 bottles each, taken at a gap of 1 hour each, to study the accuracy of its bottle filling operation. Mean values of the sample and the range are given in the foll table.
Day / vol in ml,/range in ml
1/201/7            11/204/12         21/210/5
2/199/6            12/210/3           22/218/12
3/204/7            13/203/5           23/206/6
4/201/10          14/207/4           24/211/6
5/200/4            15/206/6           25/223/5
6/195/12          16/208/5
7/202/7            17/209/14
8/202/4            18/215/7
9/200/12          19/210/8
10/201/7          20/207/9

Prepare a X bar R chart and find whether the points are in control. Remove the out of limit points and compute the new control limits.