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If you are interested in statistics for Engineers, one of my favorite resources is Miller & Freund's Probability and Statistics for Engineers The linked copy is the latest edition (as of this writing). Earlier editions for personal study should prove more than adequate. This book contains, in a readable and usable manner, everything you are looking for.

Other worthwhile books for engineering statistics would include (but not limited to):

  • Machinery's Handbook published by Industrial Press.
  • Introduction to Statistical Quality Control by Douglas C. Montgomery
  • Quality Control by Dale H. Besterfield
  • Implementing Six Sigma by Forrest W. Breyfogle III
  • Tool and Manufacturing Engineers Handbook: Desk Edition
  • Tool and Manufacturing Engineers Handbook: Volume 4: Quality Control and Assembly
  • Tool and Manufacturing Engineers Handbook: Volume 7: Continuous Improvement

Departing from books based on the theory and math (but still with a fair amount in them), in the name of "Statistics for Engineers" the following resources are also valuable:

  • The Six Sigma Handbook by Thomas Pyzdek (great information in general, but has a focus on how to use Minitab for statistics)
  • Computational Statistics handbook with MATLAB by Martinez and Martinez
  • Applied Statistics: using SPSS, STATISTICA, MATLAB, and R by Joaquim P. Marques de Sá
  • Graphing Data with R by John Jay Hilfinger (Unlike most books on the subject, this is more about using R's data visualization methods, but still briefly covers conducting various tests and data manipulation.)

(As an aside, most functions that can be done in MATLAB can also be done in Octave with no change to the code. Changes required in Octave are well documented on their site and in their packages, all of which are free.)