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ISyE2028B Xiaoming Huo Frvley, 10/26/2001 Nase: AOI: This quiz is CLOSE BOOK and CLOSE NOTES. The following cases are some examples that have been used in class. For each of them, describe the approach to answer the question. In your answer, you rnust address the following key questions: a) Are they paired sample or unpaired sample? b) Shall we use a t-procedure, or a z-procedure? Why? c) Can we assume equal population variances? Why? Based on your answer to the previous question, would you use a pooled variance? npaired two-sample problem, an experimenter observes n = 38,2 = 5.782, from population A and m = 40,9 = 6.443, from population B. Suppose that the experimenter wishes to use values 74 = 7B = 2.0 for the population standard deviations. People want to know the exact p- value for the hypothesis testing problem . Ina Hy: ja > pe versus Hy: wa S Bp- 4) vepared v) Z-proceduré because Wwe Mave decided an valved ay Ga Te merer Sard *e Use _egugl Vor ontes , ve werd Ne frre lack . e) TE He exper woe Wat 2. The thickness of 41 glass sheets made using procedure A are measured and the statistics Z = 3.04mm and sz the thickness of m = 41 glass sheets and the statistics 7 = 3.12mm and sy = 0.124mm. are obtained. In addition, made using procedure B are measured = 0.137mm are obtained. Suppose that the underlying standard deviations are the same among samples from two procedures. We want to know whether enough evidence exists to con- clude that the average thickness of sheets produced by the two procedures are different. a) unpair Since peoore ack gre Shee wet dont Wee GF yolvt? hacking Sameness - 8A D Akerned 8) _b- pre >) Yes we can assume epucl Feds @ Cobselaly We nvectire Sens. whl vor veriances CRESS SO Yee uch ened Y 
