# KENYON MATH 216 - Nonparametric Statistics (2 pages)

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## Nonparametric Statistics

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## Nonparametric Statistics

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Problems/Exams

Pages:
2
School:
Kenyon College
Course:
Math 216 - Nonparametric Statistics

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Nonparametrics Math 216 Exam 1 October 22 2004 Prof Hartlaub Name This exam is open book open notes but you must show all of your work to receive full credit The point values for each problem are provided in parentheses Solve all of the problems below 1 One of the important issues for poultry farmers is the production rate the percentage of days on which a given hen actually lays an egg Ideally that would be 100 an egg every day but realistically hens tend to lay eggs on about 3 of every 4 days A particular company ISA Babcock wants to advertise the production rate for a mature B300 Layer as a 95 confidence interval with a margin of error of 2 How many hens must they collect data on 10 2 Nationwide it is estimated that 40 of service stations have gas tanks that leak to some extent A new program in California is designed to lessen the prevalence of these leaks We want to assess the effectiveness of the program by seeing if the percentage of service stations whose tanks leak has decreased To do this we randomly sample 27 service stations in California and determine whether there is evidence of leakage In our sample seven of the stations exhibit any leakage a Is there evidence that this new program is effective Be sure to state your hypotheses provide a test statistic and p value and specify your conclusion 15 b If the new program actually works have you made an error If so what kind 5 3 Who reads the newspaper more men or women Eurostat an agency of the European Union EU conducts surveys on several aspects of daily life in EU countries Recently an agency asked samples of 1000 respondents in each of 14 European countries whether they read the newspaper on a daily basis The data are provided by country and gender below and in p data math nonparametrics newspaper mtw Country Belgium Denmark Germany Greece Spain Ireland Italy Luxembourg Netherlands Austria Portugal Finland Sweden UK Men 56 3 76 8 79 9 22 5 46 2 58 0 50 2 71 0 71 3 78 2 58 3 93 0 89 0 32 6 Women 45 5 70 3

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