Exam 30: The Bootstrap

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A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,200 subsequent bootstrap samples were taken and the resulting sample medians were ordered from lowest to highest.The first 10 and last 10 ordered medians are given below: First 10: 68.0,68.5,69.0,69.0,69.5,70.0,70.0,70.0,70.5,70.5 Last 10: 93.5,94.0,94.0,94.5,94.5,95.0,95.0,95.5,95.5,96.0 Use the percentile method to compute a 95% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {4,8,8}?

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When selecting a bootstrap sample,which of the following statements is true?

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Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {8,8,8}?

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A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,400 subsequent bootstrap samples were taken and the resulting sample medians were ordered from lowest to highest.The first 10 and last 10 ordered medians are given below: First 10: 68.0,68.5,68.5,69.0,69.5,70.0,70.0,70.0,70.5,70.5 Last 10: 93.5,94.0,94.0,94.5,94.5,94.5,95.0,95.5,95.5,96.0 Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

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Consider the following sample of three measurements {4,8,13}.Which of the following distinct resamples is least likely to occur?

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Consider the following sample of four measurements {1,2,3,4}.Which of the following distinct resamples is most likely to occur?

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