Stats Chapter 1 Homework 1.1a Sampling and Parameters

Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the data?

specific "yes" or "no" responses to the survey Data is a set of observations. In this case, the data is specific "yes" or "no" responses to the survey.

Joseph wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each of 200 randomly selected students in the school. What is the sample?

the 200 randomly selected students A sample is a specific subset of the entire group of individuals being studied. In this case, the sample is the 200 randomly selected students.

Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the parameter?

the percentage of all parents that use cloth diapers A parameter is a number that is used to represent a population characteristic. In this case, the parameter is the percentage of all parents that use cloth diapers.

Douglas wants to estimate the percentage of homeowners that own at least one dog. He surveys 125 randomly selected homeowners to determine whether or not they own dogs. What is the statistic?

the percentage of surveyed homeowners that own at least one dog A statistic is a numerical characteristic of the sample. In this case, the statistic is the percentage of surveyed homeowners that own at least one dog.

Angela wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 200 randomly selected students in the school. What is the data?

the specific number of siblings for each randomly selected student Data is a set of observations. In this case, the data is the specific number of siblings for each randomly selected student.

When considering different sampling methods, cluster sampling includes the steps: _______.

use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample Cluster sampling includes the steps: use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample.

In reference to different sampling methods, is the following statement true or false? Cluster sampling includes the steps: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group. True or False?

False Cluster sampling includes the steps: use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample. Stratified sampling includes the steps: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group.

Which of the following represents the population in the scenario below? A researcher wants to know what percentage of people who live in Germany are satisfied with their government. Surveys are sent to people who live in the city limits of Berlin, Frankfurt, and Munich of Germany.

People who live in Germany The researcher wants to learn about the satisfaction of all the people in Germany, so this is the population.

There are 6000 people who attended a political debate at a convention center. There are three candidates who are participating in the debate - Mr. Smith, Mr. Jones, or Ms. Roberts. You want to find out which candidate is most popular amongst the people attending. You ask 500 people as they walk into the convention center. Which represents the population in this scenario?

The 6000 people attending the debate

Is the statement below true or false? A parameter is a number that is used to represent a population characteristic and that generally cannot be determined easily.

True It is true that a parameter is defined as a number that is used to represent a population characteristic and that generally cannot be determined easily.

Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used?

Stratified sampling This scenario demonstrates stratified sampling. Stratified sampling involves dividing the population into groups and randomly selecting a proportionate number of individuals from each group.

Is the statement below true or false? Data is a set of observations or possible outcomes.

true

To study the mean head size of all people in her state, Jacqueline collects data from 20 people in her town. Which type of sampling is used? Cluster sampling Stratified sampling Systematic sampling Convenience sampling

Convenience sampling This scenario demonstrates convenience sampling. Convenience sampling involves selecting individuals from the population that are easily accessible, or from which data is easily obtained.

What is all individuals, objects, or measurements whose properties are being studied? population variable statistic data

population A population is defined as all individuals, objects, or measurements whose properties are being studied.

You want to find the average test score of the students in every math class in 11th grade. There are 15 math classes in 11th grade. You survey the scores of 7 math classes, and you calculate that the average test score is 83%. Which of the following represent the sample and the parameter in this scenario?

Sample: 7 math classes Parameter: There is no parameter in this scenario.

In order to study the wrist sizes of people in her town, Kathryn samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used?

Stratified sampling This scenario demonstrates stratified sampling. Stratified sampling involves dividing the population into groups and randomly selecting a proportionate number of individuals from each group.

A 2016 Pew Research poll estimated the proportion of people supporting each presidential candidate in the fall election. They based their estimates on telephone interviews of 2,010 adults living in all 50 U.S. states. They asked each participant which presidential and vice presidential candidate they support, and used that data to calculate the proportions. What is the statistic in this experiment?

The proportions of participants who support each presidential candidate. Remember that the statistic in an experiment is the numerical characteristic of the sample. Therefore, the statistic in this example is the proportions in the sample, the proportions of participants who support each candidate.

Sharon wants to estimate the percentage of parents that use cloth diapers. She asks a randomly selected group of 75 parents whether or not they use cloth diapers. What is the population?

all parents The population is the entire group of individuals being studied. In this case, the population is all parents.