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What data set is the collection of all outcomes, responses, measurements, or counts that are of interest?

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A Population

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What is the data set that is a subset or part of a population?

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A Sample

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Identify the Population and the Sample A survey of all U.S. adults found that 1503 U.S. adults favor government policies requiring better fuel efficiency for vehicles.

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Population: Collection of the responses of all U.S. adults Sample: Collection of the responses of the 1503 U.S. adults that were sampled

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Identify the Population and the Sample A survey of all U.S. adults, found that 84% have seen a health care provider at least once in the past year.

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Population: Collection of the responses of all U.S. adults Sample: Collection of the responses of the 2311 U.S. adults that were sampled

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What is a numerical description of a population characteristic?

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Parameter

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What is a numerical description of a sample characteristic?

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Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. In 2012, Major League Baseball teams spent a total of $2, 940,657,192 on players’ salaries.

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Parameter. The value $2,940,657,192 is a numerical description of the total player salary for all of the players in Major League Baseball.

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Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. In a random check of 32 different Universities, they found that 20% of the Mathematics Majors are minoring in Physics.

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Statistic 20% of Mathematics Majors are minoring in physics is based on a subset of the population.

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The freshman class at a university has an average SAT math score of 514.

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Because the average SAT math score of 514 is based on the entire freshman class, it is a population parameter.

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What kind of data consists of attributes, labels or non mathematical or non-measureable entries?

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Qualitative

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Determine whether the data are qualitative or quantitative. Explain The ages of a sample of 350 employees of a software company.

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Quantitative Because ages are numerical measurements.

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Determine whether the data are qualitative or quantitative. Explain. The revenues of the companies on the Fortune 500 list.

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Quantitative, Because revenues are numerical measurements.

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If data is qualitative what two kinds of level of measurements an be considered to use?

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Describe the differences Between Interval and Ratio Levels of Measurement.

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Interval Data can be: Ordered, and have meaningful differences between data entries. Ratio Data can be: Two data entries can be formed so that one data entry can be meaningfully expresses a multiple of another.

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Determine the level of measurement of the data set. Explain. The daily high temperatures (in degrees Fahrenheit) for Sacramento, California, for a week in July are listed

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Interval The data can be ordered and meaningful differences can be calculated, but it does not make sense to say that 87 degrees is 1.16 times as hot as 75 degrees.

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Determine the level of measurement of the data set. Explain. The four departments of a printing company are listed. Administration Sales Production Billing

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Nominal The data are qualitative and cannot be arranged in a meaningful order.

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Determine whether the study is an observational study or an experiment. Explain. Researchers conduct a study to determine whether a drug used to treat hypothyroidism works better when taken in the morning or when taken at bedtime To perform the study, 90 patients are given one pill to take in the morning and one pill to take in the evening (one containing the drug and the other a placebo). After 3 months, patients are instructed to switch the pills.

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Experiment The study apples a treatment (hypothyroidism drug) to the subjects.

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Identify the population and the sample in the following study. A study of the dietary habits of 20,000 men was conducted to find a link between high intakes of dairy products and prostate cancer.

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Population: Collection of the prostate conditions of all men Sample: Collection of the prostate conditions of the 20,000 men in study.

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Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. Just 1000 of all U.S. adults found that 40% think that the Internet is the best way to get news and information.

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Statistic The value 40% is a numerical description of a sample of U.S. adults.

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At a college, 90% of the members of the Board of Trustees approved contract of the new president.

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Parameter The 90% of members that approved the contract of the new president is a numerical description of all Board of Trustees members.

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What is the Science of collecting, organizing, and interpreting data in order to make decisions?

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Statistics

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A survey of 733 small business owners found that 17% have a current job opening.

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Statistics The value 17% is a numerical description of a sample of small business owners.

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Determine whether the data are qualitative or quantitative. Explain your reasoning. A list of debit card pin numbers

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Qualitative, Because debit card pin numbers are labels and it does not make sense to find differences between numbers.

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Determine whether the data are qualitative or quantitative. Explain your reasoning. The final top scores on a video game

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Quantitative Because final scores are numerical measurements.

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Determine whether the study is an observational study or an experiment. Researchers conduct a study to determine whether body mass index (BMI) influences the frequency of migraines. To conduct the study, researchers asked 162,576 people for their BMIs and the numbers of migraines they have per month.

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Observational study. The study does not attempt to influence the responses of the subjects and there is no treatment.

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Determine whether the study is an observational study or an experiment. Researchers conduct a study to determine whether taking a multivitamin daily decreases the risk of major cardiovascular events among men. To perform the study, researchers studied 14,641 men and had one group take a multivitamin daily and had another group take a placebo daily.

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Experiment The study applies a treatment (multivitamin) to the subjects.

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