(1) Your company has been hired by the government to analyze the rivets used in the construction of the F-22 Raptor. The construction requires that the mean diameter of the rivets be .375cm, with a standard deviation of at most .005cm. The government has given you measurements of the diameters of 100 such rivets (provided in the attached spreadsheet, and is asking your company whether the F-22 project should accept delivery of 300,000 of these rivets from the manufacturer.
Your answer to this problem should be a Word document which provides the following information:
(a) What should be your company's recommendation to the government?
(b) A technical write up of how you arrived at your answer. This should be no more than one page in length. Clarity of expression is valued much more than the length of the response.
(2) Computer processors of different speeds are manufactured on a single assembly line. Variations and errors in the process of manufacturing alter the speed at which these processors can operate. The company tests each processor as it leaves the assembly line to determine its speed and sells it at an appropriate price. Here is the revenue index:
| Tested Speed x (GHz) |
Advertised Speed |
Selling price |
| x < 3.2 |
Discarded |
N/A |
| 3.2 ≤ x < 3.4 |
3.2GHz |
$125 |
| 3.4 ≤ x < 3.6 |
3.4GHz |
$155 |
| 3.6 ≤ x < 3.8 |
3.6GHz |
$195 |
| 3.8 ≤ x < 4.0 |
3.8GHz |
$255 |
| 4.0 ≤ x |
4GHz |
$325 |