1.1 Definitions of Statistics, Probability, and Key Terms
Population, sample, parameter, statistic and variable pinned down, plus representative sampling and probability as a long-run relative frequency.
Introductory Statistics 2e, 1.1 Definitions of Statistics, Probability, and Key Terms
15 exercises
1.1 Exercise 1
Determine what the key terms refer to in the following study. We want to know the average (mean) amount of money first year college students spend at ABC College on school supplies that do not include books. We randomly surveyed 100 first year students at the college. Three of those students spent $150, $200, and $225, respectively.
1.1 Exercise 3
Determine what the key terms refer to in the following study.
A study was conducted at a local college to analyze the average cumulative GPA’s of students who graduated last year. Fill in the letter of the phrase that best describes each of the items below.
1. Population_____ 2. Statistic _____ 3. Parameter _____ 4. Sample _____ 5. Variable _____ 6. Data _____
- all students who attended the college l…
1.1 Exercise 4
Determine what key terms refer to in the following study.
A survey of athletes in a university was conducted to study the heights of athletes, in meters. Fill in the letter of the phrase that best describes each of the items below.
- Population ____
- Statistics ____
- Parameter ____
- Sample ____
- Variable ____
- Data _____
- the average height of athletes in the university
- the average height of athletes i…
1.1 Exercise 5
Determine what the key terms refer to in the following study.
As part of a study designed to test the safety of electric automobiles, the National Transportation Safety Board collected and reviewed data about the effects of a crash on test dummies. Here is the criterion they used:
Cars with dummies in the front seats were crashed into a wall at a speed of 35 miles per hour. We want to know the pro…
1.1 Exercise 6
Determine what the key terms refer to in the following study.
A survey is conducted to check the time taken by a mobile for charging of battery from 50% to 100%. The criteria used to collect the data are:
We want to know the proportion of Android mobiles that are charged to 100% within 30 minutes. We start with a simple random sample of 200 mobiles.
1.1 Exercise 7
Determine what the key terms refer to in the following study.
An insurance company would like to determine the proportion of all medical doctors who have been involved in one or more malpractice lawsuits. The company selects 500 doctors at random from a professional directory and determines the number in the sample who have been involved in a malpractice lawsuit.
1.1 Exercise 8
Determine what the key terms refer to in the following study.
A study is to be conducted by a news agency to find the proportion of all truck drivers that have no points on their license. The agency selects 1000 truck drivers randomly from the directory of truck drivers and determines the number of truck drivers in the sample who have no points on their license.
1.1 Exercise 9
Determine what the key terms refer to in the example for Researcher A.
population
1.1 Exercise 11
Determine what the key terms refer to in the example for Researcher A.
parameter
1.1 Exercise 13
Determine what the key terms refer to in the example for Researcher A.
variable
1.1 Exercise 15
For each of the following eight exercises, identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.
Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.
1.1 Exercise 17
For each of the following eight exercises, identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.
Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of health insurance.
1.1 Exercise 19
For each of the following eight exercises, identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.
A marriage counselor is interested in the proportion of clients they counsel who stay married.
1.1 Exercise 21
For each of the following eight exercises, identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.
A marketing company is interested in the proportion of people who will buy a particular product.
1.1 Exercise 23
Use the following information to answer the next three exercises: A Lake Tahoe Community College instructor is interested in the mean number of days Lake Tahoe Community College math students are absent from class during a quarter.
Consider the following:
= number of days a Lake Tahoe Community College math student is absent
In this case, X is an example of a:
- variable.
- population.
- statistic. …
Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.