Section 1.1 Homework

1.  Define statistics.

Choose the correct answer below.

1. Statistics encompasses all scientific disciplines in which random occurrences are analyzed. In​ addition, statistics references any random occurrence which is reported using percentages or proportions.
2. Statistics is the science of​ collecting, organizing,​ summarizing, and analyzing information to draw a conclusion and answer questions. In​ addition, statistics is about providing a measure of confidence in any conclusions.
3. Statistics encompasses all scientific disciplines in which percentages are​ used, data are​ analyzed, and probabilities are found. In​ addition, statistics references any mathematical model which is reported using percentages or proportions.
4. Statistics is the science of​ manipulating, reorganizing, and editing information to produce the desired results. In​ addition, statistics is about providing the required answer with the desired level of confidence.

2. Determine whether the underlined value is a parameter or a statistic. 

In a national survey of high school students (grades 9 to 12), 25% of the students who responded reported that someone had offered, sold, or given them an illegal drug on school property. Is the value a parameter or a​ statistic?

1. The value is a parameter because the respondents who were high school students (grades 9 to 12) are a sample.
2. The value is a statistic because the respondents who were high school students (grades 9 to 12) are a population.
3. The value is a parameter because the respondents who were high school students (grades 9 to 12) are a population.
4. The value is a statistic because the respondents who were high school students (grades 9 to 12) are a sample.

3. Determine whether the underlined value is a parameter or a statistic.  A study of 6,076 adults in public rest rooms found that 23% did not wash their hands before exiting. Is the value a parameter or a​ statistic?

1. The value is a statistic because the 6,076 adults in public rest rooms are a population.
2. The value is a parameter because the 6,076 adults in public rest rooms are a population.
3. The value is a statistic because the 6,076 adults in public rest rooms are a sample.
4. The value is a parameter because the 6,076 adults in public rest rooms are a sample.

4.  Determine whether the variable is qualitative or quantitative.  Nation of origin

Is the variable qualitative or​ quantitative?

1. The variable is quantitative because it is a numerical measure.
2. The variable is qualitative because it is a numerical measure.
3. The variable is quantitative because it is an attribute characteristic.
4. The variable is qualitative because it is an attribute characteristic.

5.  Determine whether the variable is qualitative or quantitative.  Age

Is the variable qualitative or​ quantitative?

1. The variable is quantitative because it is a numerical measure.
2. The variable is qualitative because it is an attribute characteristic.
3. The variable is qualitative because it is a numerical measure.
4. The variable is quantitative because it is an attribute characteristic.

6.  Determine whether the quantitative variable is discrete or continuous.  Number of notes in a song

Is the variable discrete or​ continuous?

1. The variable is continuous because it is not countable.
2. The variable is discrete because it is not countable.
3. The variable is continuous because it is countable.
4. The variable is discrete because it is countable.

7.  Determine whether the quantitative variable is discrete or continuous. Depth of the ocean floor

Is the variable discrete or​ continuous?

1. The variable is continuous because it is countable.
2. The variable is discrete because it is countable.
3. The variable is discrete because it is not countable.
4. The variable is continuous because it is not countable.