1.1 Pearson Homework

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A(n) _________ is a person or object that is a member of the population being studied.

individual

Researchers studied 550 people and matched their personality type to when in the year they were born. They discovered that the number of people with a​ "cyclothymic" temperament, characterized by​ rapid, frequent swings between sad and cheerful​ moods, was significantly higher in those born in the winter. The study also found that those born in the spring were less likely to be irritable​, while those born in summer were less likely to be excessively positive. (a) What is the research question the study addresses? (b) what is the sample? (c) What type of variable is the season in which you were born? (d) 2 parts: What can be said (in general) about individuals born in winter? What can be said (in general) about individuals born in summer? (e) what conclusion was drawn from the study?

(a) Does season of birth affect mood? (b) the 550 people in the study. (c) qualitative, nominal. (d) 2 part: People born in winter are _more likely_ to have _mood swings_. People born in summer are _less likely_ to _be excessively positive_. (e) Season of birth plays a role in one's temperament.

Determine the level of measurement of the variable below. Time of day measured in military time.

Interval level of measurement.

It is extremely important for a researcher to clearly define the variables in a study because this helps to determine the type of analysis that can be performed on the data. For​ example, if a researcher wanted to describe hockey players based on jersey number​, what level of measurement would the variable ​"jersey number​" ​be? Now suppose the researcher felt that certain players who were older received higher numbers. Does the level of measurement of the variable​ change? If​ so, how? What is the level of measurement of the variable "jersey number" in the original scenario? Does the level of measurement of the variable change in the second scenario?

Level of measurement of the variable "jersey number" in the original scenario: Nominal. Level of measure of the variable in the second scenario: Yes, it changes to ordinal.

Determine the level of measurement of the variable. The rankings of songs in the top 100. Choose the correct level of measurement:

Ordinal.

A polling organization contacts 2903 male university graduates who have a white collar job and asks whether or not they had received a raise at work during the past 4 months. What is the population study? What is the sample in the study?

Population is: Male university graduates who have a white collar job. Sample is: The 2,903 male university graduates who have a white collar job.

Determine the level of measurement of the variable below. Volume of water used by a household in a day:

Ratio.

Explain what is meant when it is said that​ "data vary". How does the variability affect the results of statistical​ analysis?

Saying​ "data vary" means that the values of the variable change from individual to individual. In​ addition, certain variables can change over time for certain individuals. Because data​ vary, two different statistical analysis of the same variable can lead to different results.

Define statistics

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..

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 hands before exiting. Is the value a parameter or a statistic?

The value is a Th statistic because the 6 comma 076 adults in public rest rooms nothing are a sample.

Determine whether the underlined value is a parameter or a statistic. The average score for a class of 28 students taking a calculus midterm exam was 72% Is the value a parameter or a​ statistic?

The value is a parameter because the class of 28 students nothing is a population.

Determine whether the variable is qualitative or quantitative. Distance in miles to the nearest school. Is the variable qualitative or quantitative?

The variable is Th quantitative because it is a numerical measure.

Determine whether the quantitative variable is discrete or continuous. Points scored in a college basketball game. Is the variable discrete or continuous?

The variable is discrete because it is countable.

Determine whether the variable is qualitative or quantitative. Favorite film. Is the variable qualitative or quantitative?

The variable is qualitative because it is an attribute characteristic.

Determine whether the variable is qualitative or quantitative. Distance in miles to nearest outdoor stadium. Is the variable qualitative or quantitative?

The variable is quantitative because it is a numerical measure.

The data on the right relate to characteristics of​ high-definition televisions A through E. Identify the​ individuals, variables, and data corresponding to the variables. Determine whether each variable is​ qualitative, continuous, or discrete. (see chart). What are the individuals being studied? What are the variables and the corresponding data being studied?

individuals being studied: Plasma and projection widescreen ​ high-definition televisions. variables and their corresponding data being studied: Size ​(45​, 58​, 48​, 49​, 56​) and the number of channels available ​(298​, 119​, 423​, 269​, 290​).


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