Exam 1: Overview of Statistics

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Pitfalls to consider in a statistical test include nonrandom samples,small sample size,and lack of causal links.

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"Bob didn't wear his lucky T-shirt to class,so he failed his chemistry exam." This best illustrates which fallacy?

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How might statistics be useful in determining the correct width of doorways in a convalescent care facility so that 99 percent of the "typical" wheelchairs can pass through the doorway without coming closer than 6 inches on either side?

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Large samples could be taken of wheelchair widths and the space needed on either side,and averages could be computed.Statistics can then be applied to find the 99th percentiles.One way is to measure the widths of major brands of wheelchairs currently being sold,being sure that people are sitting in them and using their hands to move the wheels to measure the necessary clearance.Then take a similar survey of older wheelchairs that still are used.Estimate the proportion of each type of wheelchair in use,to determine what width is required for 99 percent to meet the requirement.You might also find that some wheelchair users carry a cane in their laps,which may protrude.To learn how to estimate percentiles,you need a basic class in statistics.

Predicting a presidential candidate's percentage of the statewide vote from a sample of 800 voters would be an example of inferential statistics.

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Estimating parameters and testing hypotheses are important aspects of descriptive statistics.

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Which of the following statements is not true?

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Established risk factors such as cholesterol and obesity can predict who will get heart disease about 80 percent of the time.Adding a new test called CRP can raise this percentage to 81 percent-a statistically significant difference.But would this improvement be of practical importance to a physician? To a patient? Discuss.

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Which of the following statements is not true?

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Which is least likely to be an application where statistics will be useful?

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We would associate the term inferential statistics with which task?

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Descriptive statistics refers to summarizing data rather than generalizing about the population.

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Bob said,"Since statistics cannot tell for certain whether one thing caused another,there is no point in even reporting probabilities." Argue both for and against Bob's statement.

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A strong correlation between A and B would imply that B is caused by A.

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Statistics can help you handle either too little or too much information.

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GM's experience with ignition switches suggests that

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"Tom's SUV rolled over.SUVs are dangerous." This best illustrates which fallacy?

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Which is not a reason for an average student to study statistics?

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Statistical data analysis can often distinguish between real versus perceived ethical issues.

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Statistics is the science of collecting,organizing,analyzing,interpreting,and presenting data.

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The science of statistics tells us whether the sample evidence is convincing.

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