Business Analytics (2nd Edition)
Business Analytics (2nd Edition)
2nd Edition
ISBN: 9780321997821
Author: James R. Evans
Publisher: PEARSON
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Chapter 5, Problem 39PE

A supplier contract calls for a key dimension of a part to be between 1.96 and 2.04 centimeters. The supplier has determined that the standard deviation of its process, which is normally distributed, is 0.04 centimeter.

  1. If the actual mean of the process is 1.98, what fraction of parts will meet specifications?
  2. If the mean is adjusted to 2.00, what fraction of parts will meet specifications?
  3. How small must the standard deviation be to ensure that no more than 2% of parts are nonconforming, assuming the mean is 2. 00?

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Sample opticalDens lot run westernBlot 1 1.053 A A 1.708 A A 2.99 0.977 A A 1.67 4 0.881 AB 1.47 0.788 A B 2.25 6 0.788 A B 0.15 7 0.896 AC 1.41 1.038 AC 2.51 9 0.963 AC 1.85 10 0.971 A D 1.7 11 1.234 AD 1.49 12 1.089 A D 1.92 13 0.984 A E 0.96 14 0.986 A E 1.64 15 1.067 A E 16 0.996 BA 1.77 17 1.129 BA 1.69 18 1.016 BA 3.01 19 1.019 B B 1.03 20 1.088 B B 1.94 21 1.28 BB 2.1 22 1.12 BC 0.83 23 1.054 BC 2.52 24 1.235 BC 1.78 1.327 BD 2.2 26 1.361 BD 2.08 27 1.233 BD 1.84 1.079 BE 0.9 29 1.12 B 1.29 30 0.959 BE 1.79 31 1.229 CA 1.46 32 1.027 CA 1.97 33 1.109 CA 2.29 34 1.118 CB 35 1.066 CB 2.06 36 1.146 CB 1.51 37 1.053 CC 1.47 38 1.082 CC 2.19 39 1.113 CC 2 40 1.14 CD 1.7 41 1.172 CD 2.87 0.966 CD 0.3 43 0.963 CE 2.18 44 1.064 CE 1.65 45 1.086 CE 2.59 46 0.985 DA 1.96 47 0.894 DA 2.43 48 1.109 DA 1.56 49 0.847 D B 1.51 50 0.799 DB 1.3 51 0.918 DB 0.7 52 1.033 DC 2.31 0.943 DC 1.85 54 1.089 DC 0.71 55 0.988 DD 1.12 1.169 D D 1.47 57 1.106 D D 2.9 58 1.308 DE 2.08 1.498 DE 1.94 60 1.271…
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Business Analytics (2nd Edition)

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