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Introductory Statistics: Chapter 1 Key Concepts

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  • What is descriptive statistics?

    Descriptive statistics identify patterns in data, summarize data, and present data in a convenient form.

  • What is inferential statistics?

    Inferential statistics use sample data to make estimates, predictions, decisions, or generalizations about a population.

  • Define population in statistics.

    A population is the collection of all outcomes, responses, measurements, or counts that are of interest.

  • Define sample in statistics.

    A sample is a subset or part of the population used to collect data.

  • What is a parameter?

    A parameter is a numerical description of a population characteristic.

  • What is a statistic?

    A statistic is a numerical description of a sample characteristic.

  • Differentiate quantitative and qualitative data.

    Quantitative data are numbers that represent measures or counts. Qualitative data are non-numerical or categorical data that cannot be measured on a natural numerical scale.

  • What level of measurement is nominal?

    Nominal level is qualitative only; data cannot be ordered or ranked.

  • What level of measurement is ordinal?

    Ordinal level can be qualitative or quantitative; data can be ordered or ranked but differences between entries are not meaningful.

  • What level of measurement is interval?

    Interval level is quantitative; data can be ordered and differences are meaningful, but zero is not an inherent zero.

  • What level of measurement is ratio?

    Ratio level is quantitative; data can be ordered, differences are meaningful, and zero represents an inherent zero (meaning none).

  • What is an observational study?

    An observational study observes and measures characteristics of interest without changing existing conditions.

  • What is an experiment in statistics?

    An experiment deliberately applies a treatment to part of the population and observes the responses.

  • Define treatment, control group, and experimental units.

    Treatment is applied to part of the population (treatment group). The control group receives no treatment or a placebo. Experimental units are the subjects in both groups.

  • What is a simple random sample?

    A simple random sample gives every member of the population an equal chance of being selected.

  • What is a stratified sample?

    A stratified sample divides the population into strata by a characteristic, then randomly samples from each stratum proportionally.

  • What is a cluster sample?

    A cluster sample divides the population into clusters, then selects all members from some clusters.

  • What is a systematic sample?

    A systematic sample selects members at regular intervals from a randomly chosen starting point.

  • Identify the population and sample: Asking 30 UCF students if they have scholarships.

    Population: All UCF students. Sample: The 30 UCF students surveyed.

  • Is the response 'Do you have a scholarship?' quantitative or qualitative?

    The response is qualitative because it classifies students into categories (yes or no).

  • In the lung cancer screening study, was it an experiment or observational study?

    It was an experiment because researchers assigned smokers to CT or X-ray screening groups.

  • In the lung cancer study, what were the experimental units?

    The experimental units were the 50,000 smokers participating in the trial.

  • What type of data is the age at which a tumor is detected?

    The age is quantitative data because it is a measurable number.

  • What inference is drawn from the lung cancer clinical trial?

    The trial aims to infer which screening method (CT or X-ray) is more effective at early tumor detection.