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What do the numbers mean?A survey is administered by a marketing.Two of the people surveyed are Brenda and Jason.Three of the questions are as follows.
- Do you favour the construction of a new shopping mall?
(1) Strongly oppose (2)Somewhat oppose (3) neutral (4) Somewhat favour (5) Strongly favour
- How many cars do you own.
- What is your marital status.
(1) married (2) single (3) Divorced (4) Domestically partnered (5) others
- Are the responses for question(i) nominal or ordinal?
- On questions (i)Brenda answers (2) and Jason answers (4) Jason’s answer,(4) is greater than(4) Brenda’s answer( 2)Does Jason’s answer reflect more of something?
- Jason’s answer to question (i) is twice greater than Brenda’s answer. Does Jason’s answer reflect twice as much of something? Explain
- Are the responses for the question (ii) qualitative or quantitative?
- On question (ii)Brenda answer is 2 and Jason answer is 1. Does Brenda answers reflect more of something. Does Brenda’s answer twice as much of something? Explain.
- Are the responses of the question.(iii) nominal or ordinal?
- On question (iii) Brenda answers (4)and Jason answers(2).Does Brenda answer reflect of more something.Does Brenda’s answer reflect twice as much of something?Explain.
(a)
To identify:
whether the responses for question (i) nominal or ordinal.
Answer to Problem 49E
The responses for question (i) is ordinal.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
The ordinal variables classify the values into categories, where, categories have a natural ordering. Therefore, the choices for response to given question, which has natural ordering with “strongly oppose”gives negative opinion and “strongly favor” stating positivedrawback. Therefore, the choices can be considered as logically ordered variable.
Therefore, responses to given question are ordinal.
(b)
To identify:
Whether J’s answer reflects more of something.
Answer to Problem 49E
J’s answer reflects that he is favor of constructing a new shopping mall unlike B.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
On question (i), B answers (2) and J answers (4). J’s answer (4) is greater than B’s answer (2).
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
It is given that B answered 2 that is “Somewhat oppose” and J answered 4 that is “Somewhat favor”. Thus J’s answer reflects more of positivity than B’s answer, though it is not giving the sure intensity in favor of the construction.
(c)
To identify:
Whether J’s answer reflects twice as much of something.
Answer to Problem 49E
The variable response to given question is categorical in nature, so it doesn’t not imply J’s answer to given question is twice favorable as much of something.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
J’s answer to question (i) is twice as large as B’s answer.
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
It is given that B answered 2 that is “Somewhat oppose” and J answered 4 that is “Somewhat favor”.Thus J’s answer reflects more of positivity than B’s answer, though it is not giving the sure intensity in favor of the construction.It is given J’s answer to given question is twice as large as B, which does not implies twice as much of something, because, the variable response to given question is categorical in nature that is qualitative not quantitative.
(d)
To identify:
Whether question (ii) qualitative or quantitative.
Answer to Problem 49E
The responses for question (ii) isquantitative.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
A statistical factor classifies people into classes, and it indicates how much or how much of something there is. The variable number of cars owned by one tells the number of cars one can be possessed.
Therefore, responses to given question is quantitative in nature.
(e)
To identify:
Whether B’s answer reflect more of something and does it reflect B’s answer is twice as much as something.
Answer to Problem 49E
The response is quantitative, B’s answer reflect that she has more cars than J.
Yes! B’s answer reflects that she has twice as many cars as what J have.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
On question (ii), Banswers 2 and J answers 1.
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
It is given that in response to given question, B answered 2 and J answered 1.
The above result clearly tells that B owns more cars than J. B’s answer reflect twice as much as cars than J.
(f)
To identify:
Whether the responses to question (iii) nominal or ordinal.
Answer to Problem 49E
The responses to question (iii) is nominal.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Band J. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
A nominal variable classifies the values into classes, but there is no natural ordering in the categories, whereas the ordinal variables classify the values into categories where categories have natural ordering. Therefore, the responses to given question classifies one’s marital status into five categories.
Therefore, responses to given question are nominal.
(g)
To identify:
Whether B’s answers reflect more of something and reflect twice as much as something.
Answer to Problem 49E
B’s response of 4 and J’s response of 2 do not reflect more of something. B’s answer does not reflect twice as much as J’s.
Explanation of Solution
Given information:
A survey is administered by a marketing firm. Two of the people surveyed are Brenda and Jason. Three of the questions are as follows:
i. Do you favor the construction of a new shopping mall?
(1) Strongly oppose (2) Somewhat oppose (3) Neutral (4) Somewhat favor (5) Strongly favor
ii. How many cars do you own?
iii. What is your marital status?
(1) Married (2) Single (3) Divorced (4) Domestically partnered (5) Other
On question (iii), Brenda answers (4) and Jason answers (2).
Concept used:
There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.
Qualitative variables come in two types: ordinal variables and nominal variables.
Ordinal variables are qualitative variables whose categories have a natural ordering.
Nominal variables are qualitative variables whose categories have no natural ordering.
Quantitative variables can be either discrete or continuous.
Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.
Continuous variables can, in principle, take on any value within some interval.
A nominal variable classifies the values into classes, but there is no natural ordering for the categories, whereas the ordinal variables classify the values into categories where categories have natural ordering. Therefore, the responses to given question classifies one’s marital status into five categories.
Response to Marital status are nominal in nature, thus primarily the variable marital status is categorical. Hence, B’s response of 4 and J’s response of 2 do not reflect more of something. Thus, B’s answer does not reflect twice as much as J’s.
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Chapter 1 Solutions
Elementary Statistics (Text Only)
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