Section 1.1 Stats Homework

Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. -For a certain movie 64.3% of the 112 members of the audience were females

Parameter because the data set of all 112 audience members is a population

Determine whether the underlined number is a statistic or a parameter. -In the study of all 2789 students at a college, it is found that 55% own a computer

Parameter because the value is a numerical measurement describing a characteristic of a population

In a​ poll, 1,004 adults in a country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Among the​ respondents, 47​% said that they were in favor. Identify the population and the sample.

Population : All the adults in the country Sample : The 1,004 adults selected

Determine whether the data set is a population or a sample. Explain your reasoning. -The number of children for each household in a town.

Population, because it is a collection of the number of children for all households of the number of children for all households in the town

Determine whether the data set is a population or a sample. Explain your reasoning. -The age of each resident in an apartment building.

Population, because it is a collection of ages for for all people in the apartment building.

Determine whether the data set is a population or a sample. Explain your reasoning. -The number of floors in each building in a city.

Population, because it is a collection of the number of floors for all buildings in the city, but there are more buildings in other cities.

A​ quality-control manager randomly selects 80 bottles of ketchup that were filled on October 12 to assess the calibration of the filling machine.

Population: All bottles of ketchup were produced in the plant on October 12. Sample: The 80 bottles of soda were selected in the plant on October 12.

A survey of 184 law firms in a country found that the average hourly billing rate for partners was $614

Population: All law firms in the country Sample: The law firms that were surveyed The sample data set: The average hourly billing rate for partners of 184 law firms was $614

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. -A population is the collection of some​ outcomes, responses,​ measurements, or counts that are of interest.

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

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. -A statistic is a measure that describes a population characteristic.

False. A statistic is a measure that describes a sample characteristic.

A polling organization contacts 2144 undergraduates who attend a college and live outside the United States and asks whether or not they had taken a course in conversational English during their studies. What is the population in the study?

Population: Undergraduates who attend a college and live outside the United States Sample: The 2144 undergraduates who attend a college and live outside the United States.

Determine whether the data set is a population or a sample. Explain your reasoning. -The heights of half of the students in a class

Sample, because it is a collection of heights for all of the students in the in a subset of all the students in the class.

Determine whether the data set is a population or a sample. Explain your reasoning. -The ages of one person per row in a cinema

Sample, because the collection of ages of one person per row is a subset of all people in the cinema

What are the two main branches of​ statistics?

The two main branches of statistics are descriptive statistics and inferential statistics.

What is the difference between a parameter and a​ statistic?

A parameter is a numerical description of a "population" characteristic. A statistic is a numerical description of a "sample" characteristic.

How is a sample related to a​ population?

A sample is a subset of a population.

Why is a sample used more often than a​ population?

It is usually impossible to count the entire population.

Determine whether the underlined value is a parameter or a statistic. -A study of 6076 adults in public restrooms found 23% did not wash their hands

Statistic

Suppose a survey of 527 women in the United States found that more than 58​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Statistic in the problem: %58 of women in the sample are the primary investor in their household.

Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. -Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.

The number is a population parameter because it is a numerical description of all of the passengers that survived.

Part one : Use the Venn diagram to identify the population and the sample. A rectangular box reads, The party of registered voters in a certain country, contains a smaller rectangular box that reads, The party of registered voters in the country who voted in the last election.

The party of registered voters in the country

Part two : Use the Venn diagram to identify the population and the sample. A rectangular box reads, The party of registered voters in a certain country, contains a smaller rectangular box that reads, The party of registered voters in the country who voted in the last election.

The party of registered voters in the country who voted in the last election

Determine whether the following statement is true or false. If it is​ false, rewrite it as a true statement. -A sample statistic will not change from sample to sample.

The statement is false. A sample statistic can change from sample to sample.

Determine if the statement is true or false. If it is​ false, rewrite it as a true statement. -It is impossible for the Census Bureau to obtain all the census data about the population of the United States.

The statement is true

Determine whether the data set is a population or a sample. Explain your reasoning. -The number of floors in 13 buildings in a city

This a sample, because it is a collection of the number of floors for some buildings in the city