Questions 24 - 26 The Hammermill Company produces paper for laser printers. The

Question

Questions 24 - 26 The Hammermill Company produces paper for laser printers. The standard letter-sized paper width is 215mm. But the actual width is random because of vibration in the rollers and cutting tools during manu facturing. The rollers and cutters can be adjusted if the paper width drifts from the correct mean. Suppose that a quality control inspector chooses 100 sheets at random and measures them with a precise instrument, obtaining a standard deviation of 1 mm. Let X denote the measured width of a sheet and be the population mean of X. The hypotheses to be tested are 0 : =215 H1 : #115 Q24 Find the rejection rule for = 10% (a) Reject Ho if X

Explanation / Answer

24) for std error =std deviation/(n)1/2 =1/(100)1/2 =0.1

and for 0.10 level critical value =-/+ 1.64

therefore rejection region: reject Ho if Xbar >215+1.64*0.1 or Xbar<215-1.64*0.1

Xbar >215.164 or Xbar<214.836

option D

25)

probability =P(214.836<Xbar<215.164)=P((214.836-215.05)/0.1<Z<(215.164-215.05)/0.1)=P(-2.14<Z<1.14)

=0.8729-0.0162 =0.8567 ~85.668% option b

26)probability=10%

option C

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