prefinal review - Prefinal for AMS310 GO OVER QUESTIONS AND...

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Prefinal for AMS310 GO OVER QUESTIONS AND SOLUTIONS ON TESTS 3, 2 AND 1, PRETESTS 3,2 AND 1 AND Prequiz 12 and QUIZ 10 PLUS THE FOLLOWING : Short questions (there will be 20). Read the description of the experimental situation and indicate the distribution of the test statistic under Ho. In some cases more than one answer might be correct. I-1. We wish to determine whether the proportion of defectives is the same in 20 different factories. We collect samples of size nj from factory j (j=1,2….20) and record X j the number of defectives in factory j. (a) chi square with 19 degrees of freedom (b) t with 19 degrees of freedom (c) chi square with 20 degrees of freedom (d) Z (standard normal distribution) (d) t with 38 degrees of freedom. I-2. We wish to determine whether preparation A stops headaches faster than preparation B. We will compare the mean time required until the headach disappears. We sample 15 patients and obtain values of the time it takes to stop the headache with treatment A. We then sample 15 additional patients and note the time it takes to stop the headache with preparation B. (a)chi square with 14 degrees of freedom (b) t with 14 degrees of freedom (c) chi square with 1 degree of freedom (d)Z (standard normal distribution) (d) t with 28 degrees of freedom. I-3. We wish to compare the percentage of individuals who vote for Bush to those who vote for Gore. This is the same as testing P(Bush)=0.5 =P(Gore). We sample n=100 individuals and ask them whether they prefer Bush or Gore and record X=# prefering Gore and 100-X= number preferring Bush. (a) Z (b) chi-square with 99 df (c) chi-square with 1 df. (d) t with 99 df I-4. There are four standard surgical techniques, A, B, C, and D presently used in abdominal surgery. To find out whether one method is preferred over any other each of a random sample of 200 surgeons was asked which technique he or she preferred. Test Ho: p
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