Statistics Test 1 Flashcards
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Questions and Answers

Statistics is used to answer questions with 100% certainty.

False

Determine whether the underlined value is a parameter or a statistic: In a survey conducted in a certain town, 21% of adult respondents reported that they had been involved in at least one car accident in the past ten years.

statistic

Determine whether the underlined value is a parameter or a statistic: A study of 2,000 college students in a certain city found that 5% had been victims of violent crimes.

statistic

Determine whether the underlined value is a parameter or a statistic: 51.9% of the residents of a certain city are female.

<p>parameter</p> Signup and view all the answers

Determine whether the underlined value is a parameter or a statistic: Mark had an average time of 11 seconds for 328 races.

<p>parameter</p> Signup and view all the answers

Identify the sample of interest to university administration: 170 students were followed to determine the average parking time.

<p>The parking times of the 170 students</p> Signup and view all the answers

Identify the individuals in a study determining the percentage of cardiologists who had been sued for malpractice.

<p>Each cardiologist selected from the directory</p> Signup and view all the answers

Which branch of statistics deals with the organization and summarization of collected information?

<p>descriptive statistics</p> Signup and view all the answers

Classify the variable as qualitative or quantitative: the number of calls received at a company's help desk.

<p>quantitative</p> Signup and view all the answers

Classify the variable as qualitative or quantitative: the number of seats in a school auditorium.

<p>quantitative</p> Signup and view all the answers

Classify the variable as qualitative or quantitative: the numbers on the shirts of a boy's football team.

<p>qualitative</p> Signup and view all the answers

Classify the variable as qualitative or quantitative: the weights of cases loaded onto an airport conveyor belt.

<p>quantitative</p> Signup and view all the answers

Identify the variables and determine whether each variable is quantitative or qualitative: The table summarizes details of four master's students.

<p>Student name, qualitative; student number, qualitative; area of interest, qualitative; GPA, quantitative.</p> Signup and view all the answers

Quantitative variables classify individuals in a sample according to what?

<p>numerical measure</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch.

<p>discrete</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the cholesterol levels of a group of adults.

<p>continuous</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the low temperature in degrees Fahrenheit on January 1st in a certain city.

<p>continuous</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the number of goals scored in a hockey game.

<p>discrete</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the number of phone calls to the police department on any given day.

<p>discrete</p> Signup and view all the answers

Determine whether the quantitative variable is discrete or continuous: the age of the oldest employee in the data processing department.

<p>continuous</p> Signup and view all the answers

Classify the following random variable: telephone area codes.

<p>qualitative data</p> Signup and view all the answers

A student is asked to rate a guest speaker's ability to communicate as poor, average, good, or excellent. What type of data is being collected?

<p>qualitative</p> Signup and view all the answers

Determine the level of measurement of the variable: the medal received (gold, silver, bronze) by an Olympic gymnast.

<p>ordinal</p> Signup and view all the answers

Determine the level of measurement of the variable: height of a tree.

<p>ratio</p> Signup and view all the answers

Determine the level of measurement of the variable: the native language of a tourist.

<p>nominal</p> Signup and view all the answers

Determine the level of measurement of the variable: an officer's rank in the military.

<p>ordinal</p> Signup and view all the answers

Determine the level of measurement of the variable: weight of rice bought by a customer.

<p>ratio</p> Signup and view all the answers

Determine the level of measurement of the variable: a student's favorite sport.

<p>nominal</p> Signup and view all the answers

Determine the level of measurement of the variable: capacity of a backpack.

<p>ratio</p> Signup and view all the answers

Determine the level of measurement of the variable: the year of manufacture of a car.

<p>interval</p> Signup and view all the answers

Determine whether the study depicts an observational study or an experiment: A medical researcher obtains a sample of adults suffering from diabetes and assigns them to treatment and placebo groups.

<p>experiment</p> Signup and view all the answers

Determine whether the study depicts an observational study or an experiment: A poll is conducted in which professional musicians are asked their ages.

<p>observational study</p> Signup and view all the answers

Determine whether the study depicts an observational study or an experiment: The personnel director calls each employee to ask about their lunch habits.

<p>observational study</p> Signup and view all the answers

Determine whether the study depicts an observational study or an experiment: A scientist randomizes plots for crop yield study comparing fertilizers.

<p>experiment</p> Signup and view all the answers

Determine whether the study depicts an observational study or an experiment: A researcher compares depression rates among smokers and nonsmokers.

<p>observational study</p> Signup and view all the answers

What procedure would be most appropriate for obtaining a sample of the town's residents for a library survey?

<p>Survey a random sample of persons within each neighborhood of the town</p> Signup and view all the answers

List all possible simple random samples of size 2 from a committee with 6 members.

<p>Dr. Hernandez and LaToyna, Dr. Hernandez and Ming, Dr. Hernandez and Jose, Dr. Hernandez and John, Dr. Hernandez and Prof. Rise, LaToyna and Ming, LaToyna and Jose, LaToyna and John, LaToyna and Prof. Rise, Ming and Jose, Ming and John, Ming and Prof. Rise, Jose and John, Jose and Prof. Rise, John and Prof. Rise</p> Signup and view all the answers

What sampling technique is used when selecting 35 math majors, 26 music majors, and 45 history majors from larger populations?

<p>stratified</p> Signup and view all the answers

Identify the type of sampling used: Every fifth adult entering an airport is checked for extra security screening.

<p>systematic</p> Signup and view all the answers

Identify the type of sampling used: five auto repair classes are randomly selected, and all students from each are interviewed.

<p>cluster</p> Signup and view all the answers

Identify the type of sampling used: all passengers on five randomly selected cruises are interviewed.

<p>cluster</p> Signup and view all the answers

Identify the type of sampling used: a statistics student interviews everyone in his apartment building.

<p>convenience</p> Signup and view all the answers

Identify the type of sampling used: a lobbyist randomly generates numbers to contact senators.

<p>simple random</p> Signup and view all the answers

Identify the type of sampling used: 300 homeowners under and over 65 years old are randomly selected.

<p>stratified</p> Signup and view all the answers

Identify the type of sampling used: the names of 100 employees are randomly drawn from a bag.

<p>simple random</p> Signup and view all the answers

What is the frame for a study of advertising effects on high school boys in small towns?

<p>All high school boys from small Midwestern towns</p> Signup and view all the answers

The sum of all the relative frequencies of a distribution will always add up to 1.

<p>True</p> Signup and view all the answers

What is the difference between a bar chart and a histogram?

<p>The bars on a bar chart do not touch while the bars of a histogram do touch.</p> Signup and view all the answers

Study Notes

General Concepts of Statistics

  • Statistics cannot provide 100% certainty; it deals with uncertainty and variability.
  • Parameters describe whole populations, while statistics are derived from samples.

Parameters vs. Statistics

  • A percentage from a survey (e.g., 21% of adult respondents involved in accidents) is a statistic.
  • Findings from a study of 2,200 college students reporting 5% victims of violent crimes is a statistic.
  • A percentage indicating that 51.9% of city residents are female is a parameter.
  • An athlete's career average time across races is considered a parameter.

Sampling and Populations

  • Sample of interest for parking time includes the times recorded from 170 observed students.
  • In studies, individuals are often defined by their population groups, such as cardiologists in a malpractice study.

Types of Statistics

  • Descriptive statistics focuses on summarizing and organizing collected data.

Variables Classification

  • Variables can be qualitative (e.g., student names, favorite sports) or quantitative (e.g., number of calls, weights).
  • Quantitative variables may be discrete (e.g., number of juice bottles sold) or continuous (e.g., cholesterol levels, ages).

Levels of Measurement

  • Variables are classified into four levels: nominal (e.g., language), ordinal (e.g., Olympic medals), interval (e.g., year of manufacture), and ratio (e.g., weight of rice).

Study Types

  • Experiments involve treatment groups and control groups to assess cause-and-effect relationships.
  • Observational studies involve measuring or surveying without intervention to observe existing conditions.

Sampling Techniques

  • Random sampling is crucial for eliminating bias, as seen in studies conducted among selected groups or categories.
  • Stratified sampling involves dividing the population into subgroups and randomly sampling from each.
  • Systematic sampling selects every nth individual in a list, while cluster sampling involves selecting entire groups for study.

Data Collection Methods

  • Surveys and interviews are common methods to collect data from specified groups.
  • Simple random samples give each individual an equal chance to be selected.

Key Statistical Principles

  • The sum of relative frequencies in a distribution should equal 1, considering small rounding errors.
  • Bar charts display categorical data while histograms show frequency distributions, with the former's bars not touching and the latter's bars touching.

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Prepare for your Statistics Test with these flashcards covering key concepts and definitions. Each card presents a question related to the fundamentals of statistics, helping you to reinforce your understanding and enhance your knowledge for upcoming exams.

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