m320fl13-exam3 - MATH 3200 PROBABILITY AND STATISTICS M3200FL133.1 In almost all problems I have given the answers to four significant digits If your

m320fl13-exam3 - MATH 3200 PROBABILITY AND STATISTICS...

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MATH 3200 PROBABILITY AND STATISTICS M3200FL133.1 In almost all problems, I have given the answers to four significant digits. If your answer is slightly different from one of mine, consider that to be roundoff error and mark the closely matching one. If your answer differs from the closest one of mine by more than one percent (meaning the ratio of yours to mine is less than 0.99 or greater than 1.01), then mark J) None of the preceding . 1. Let pbe the proportion of people in the population who prefer Gatorade over All Sport. Eighteen tasters participate in a taste-testing experiment, and twelve prefer Gatorade over All Sport. Suppose that a priori there is no reason to claim that one drink is preferred over the other. Therefore the alternative hypothesis is two-sided. What is the P-value? (Because of the small sample size, use an exact test, not a normal approximation.) A) 0.1083 B) 0.1515 C) 0.1947 D) 0.2379 E) 0.2811 F) 0.3243 G) 0.3675 H) 0.4107 I) 0.4539 J) None of the preceding 2. A researcher desperate to find a statistically significant difference between two groups has data on 25 variables from each group. She tests 25 null hypotheses, each null hypothesis being that the group means are equal, hoping to find a significant difference on at least one variable. Suppose that the 25 tests are mutually independent and are conducted individually at the 5% level. What is the probability that at least one null hypothesis will be incorrectly rejected even if all null hypotheses are true? preceding

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MATH 3200 PROBABILITY AND STATISTICS M3200FL133.2 3. An EPA researcher wants to design a study to estimate the mean lead level of fish in a lake located near an industrial area. Based on past sample data, the researcher estimates that σfor the lead level is 0.012 mg/g. He wants to use a 95% CI having a margin of error no greater than 0.002 mg/g. How many fish does he need to catch?

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