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Q2. Company X is building a new CPU for its next generation of cell phones, which utilizes the most advanced 5 nm chip technology. Company

Q2.Company X is building a new CPU for its next generation of cell phones, which utilizes the most advanced 5 nm chip technology. Company X has chosen Companies A and B to be chip providers. Company A's production line aims to achieve the 5 nm goal with a small standard deviation. Company B's production line is more ambitious to reach the best resolution. Company Xsamples some chips from each company and the resolution is listed below:

A: 4.95, 5.02, 4.98, 5.11, 5.02, 4.82, 4.96, 5.01, 4.88, 4.99, 5.03, 5.04

B: 4.88, 4.87, 5.04, 4.76, 4.89, 5.04, 4.85, 5.12, 4.89, 4.99, 5.01, 4.86

Company X wants the smallest standard deviation so they can design a consistent connection electronics.

  1. If Company X cares more about product consistency other than absolute resolution, which company should be chosen?
  2. Suppose Company B's production line also has a designed mean resolution of 5nm and Company X wants to use chips from both providers. What percentage should X take from Company A to minimize the uncertainty in the average resolution?

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