A glass manufacturer produces hand mirrors. Each mirror is supposed to meet company standards for such things as glass, color of handle, and so on. To control for these features, the company quality people randomly sample 40 mirrors in every shift and determine how many of the mirrors are out of compliance on at least one feature. Shown here are the data for 15 such samples.
| Sample | Number out of Compliance | Sample | Number out of Compliance |
| 1 2 3 4 5 | 2 0 6 3 1 | 6 7 8 9 10 | 0 4 3 2 2 |
Use the data to construct a suitable chart. Observe the results and comment on the control of the process as indicated by the chart.
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A glass manufacturer produces hand mirrors. Each mirror is supposed to meet company standards for such things as glass, color of handle, and so on. To control for these features, the company quality people randomly sample 40 mirrors in every shift and determine how many of the mirrors are out of compliance on at least one feature. Shown here are the data for 15 such samples.
| Sample | Number out of Compliance | Sample | Number out of Compliance |
| 1 2 3 4 5 | 2 0 6 3 1 | 6 7 8 9 10 | 0 4 3 2 2 |
The manager of a Flower Shop promises its customers delivery within four hours on all flower orders. All flowers are purchased on the previous day and delivered to Parker by 8.00 AM the next morning. The daily demand for roses is as follows:
| Dozens of roses | 150 160 170 200 |
| Probability | 0.2 0.3 0.4 0.1 |
In a small town, there are only two stores, ABC and XYZ that handle sundry goods. The total number of customers is equally divided between the two, because price and quality of goods sold are equal. Both stores have good reputation in the community, and they render quality good customer run annual pre-New Year sales during the first week of January. Sales are advertised through a local newspaper, radio and television media. With the aid of an advertising firm store ABC constructed the game matrix given below.(Figures in the matrix represent a gain or loss of customers).
|
| Strategy of XYZ | ||
| Strategy of ABC | Newspaper | Radio | Television |
| Newspaper Radio Television | 30 0 90 | 40 15 20 | – 80 – 20 50 |
A system having Weibull failure distribution with pdf as
i) Compute the reliability function of the system,
ii) find the reliability for a 100 days mission for θ = 2,
iii) show that the hazard rate is constant,
iv) find the MTTF, and
v) what is the life of the system if reliability of 0.90 is desired.
A factory producing dry-cells wanted to test the life of cells produced daily. The cells will be considered satisfactory if their life is 25 hours. For this, a sample of 4 cells was drawn on 7 consecutive days. The results are as follows:
| Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | Day 6 | Day 7 |
| 24 20 25 20 | 16 23 23 20 | 20 25 24 21 | 26 18 28 20 | 20 22 24 22 | 25 23 25 20 | 26 24 20 25 |
A leather bag manufacturing company supplies bags in lots of size 150 to a buyer. A single sampling plan with n = 10 and c = 1 is being used for the lot inspection. The company and the buyer decide that AQL = 0.08 and LTDD = 0.16. If there are 15 defective bags in each lit, compute the
i) Probability of accepting the lot,
ii) Producer’s risk and consumer’s risk,
iii) AOQ, if the rejected lots are screened and all defective bags are replaced by non- defectives, and
iv) Average total inspection
A process of manufacturing an item is in statistical control with
= 250 and
= 3.5.
The specification limits of the process are 200 ± 8 1.90. Calculate the process capability. Does it appear that the manufacturing process is capable of meeting the specification requirements? (d2 = 2.059)