Page 42 - Mechanical Engineers' Handbook (Volume 2)
P. 42

References  31


                                          O      E      O–E      (O– E) 2   (O– E) /E
                                                                                  2
                                         364     325      39       1520        4.6800
                                         376     396      20        400        1.0100
                                         218     243      25        625        2.5700
                                          89      97       8         64        0.6598
                                          33      30       3         9         0.3000
                                          23      8       15        225       28.1000

                                                           2    37.320
                                                          exp
                           Since there is only a 5% chance of obtaining a calculated chi-square statistic as large as
                           11.07 under the hypothesis chosen, the null hypothesis is rejected and it is inferred that some
                           real (rather than random) cause exists for the failures with a 95% probability or confidence
                           level.



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