Overview
Answer each question to the best of your ability. Be sure that you have answered all parts of each questions in the appropriate spot. You will not be allowed to change your answers once the exam has been submitted. Also, play close attention to all of the instructions and information included with each question. Failure to do so could result in answering a question in the wrong format (e.g. including the word percent or the symbol (%) when you only need the numbers). Finally, please do not start the midterm until you are ready to complete it. Once you open it, you will not be allowed to retake the exam. Problem 1: For each variable below, construct a frequency distribution and select and calculate an appropriate measure of central tendency and a measure of dispersion. For the variable age, organize the information in the frequency distribution using a ten-point class interval. Include columns for frequency, cumulative frequency, percent, and cumulative percent for the age frequency distribution. Finally, summarize each variable in a sentence.
A survey measuring attitudes toward interracial dating was administered to 1000 respondents. The questions were:
- What is your age?
- What is your gender?
- Male
- Female
- “Marriages between people of different racial groups just don’t work out and should be banned by law.”
- Strongly agree
- Slightly agree
- Neither agree nor disagree
- Slightly disagree
- Strongly disagree
- How many years of schooling have you completed?
- Which of the following categories best describes the place where you grew up?
- Large city
- Medium-size city
- Suburbs of a city
- Small town
- Rural area
- What is your marital status?
- Married
- Separated or divorced
- Widowed
- Never married
The scores of 20 respondents were:
[Image unavailable: Spring 2021 Table for questions 1 and 2]
Problem 1 Checklist: Make sure you complete each of the following items.
For each variable,
- Construct a frequency distribution
- For the variable age
- Organize the information in the frequency distribution using a ten-point class interval.
- Include columns for frequency, cumulative frequency, percent, and cumulative percent.
- For the variable age
- Select and calculate an appropriate measure of central tendency
- Select and calculate an appropriate measure of dispersion.
- When calculating standard deviation use the formula for a population.
- Summarize each variable in a sentence.
Note 1: You can make your frequency distributions in a Word document and upload the document, or you can copy and paste everything in the space provided below. To be on the safe side you should probably copy/paste the answers as well as upload a Word document with your answers.
Note 2: Although not required, I would suggest putting your final answers for measures of central tendency and the measures of dispersion in a table. For those of you that like to show me your work, that is fine; you can include a column that shows your work at the beginning or at the end of the table. Problem 2: For all 1000 respondents, the mean age was 36.33 with a standard deviation of 4.7 years. Assuming the distribution of age is approximately normal compute Z-scores for the first 10 respondents (this will be respondents A-J) and determine the percentage of the area below (younger than) each respondent as well as the percentage above (older than) each respondent.
A survey measuring attitudes toward interracial dating was administered to 1000 respondents (See Problem 1 for the questions and response categories).
The scores of 20 respondents were:
[Image unavailable: Spring 2021 Table for questions 1 and 2]
Problem 2: For all 1000 respondents, the mean age was 36.33 with a standard deviation of 4.7 years. Assuming the distribution of age is approximately normal compute Z-scores for the first 10 respondents (this will be respondents A-J) and determine the percentage of the area below (younger than) each respondent as well as the percentage above (older than) each respondent.
Problem 2 Checklist: Make sure you complete each of the following items for respondents A-J.
- Compute Z-scores
- Determine the percentage of the area below (younger than) each respondent
- Determine the percentage above (older than) each respondent
Note 1: place a zero in front of the decimal for any number that is less than one (e.g. 0.12), and round your answers to the second decimal place (e.g. 1.23; 12.34). Finally you are welcome to provide your answers in a Word document and upload the document or you can copy and paste everything in the space provided below. To be on the safe side you should probably copy/paste the answers as well as upload a Word document with your answers.
Note 2: Although not required, I would suggest putting your final answers in a table where the respondent is the row and the answer category is the column (see example below). For those of you that like to show me your work, that is fine; you can include a column that shows your work at the beginning (between the Case and Z-Score columns) or at the end (right after the Area/Percentage above column) of the table.
Problem 3: For all 1000 respondents, the mean age was 36.33 with a standard deviation of 4.7 years. Assuming the distribution of age is approximately normal determine the area between the scores for four different respondents (see below for the list).
A survey measuring attitudes toward interracial dating was administered to 1000 respondents (See Problem 1 for the questions and response categories).
The scores of 20 respondents were:
[Image unavailable: Spring 2021 Table for questions 1 and 2]
Problem 3: For all 1000 respondents, the mean age was 36.33 with a standard deviation of 4.7 years. Assuming the distribution of age is approximately normal determine the area between the scores for four different respondents (see below for the list).
Compute the area between the following set of respondents:
- Respondents E and P
- Respondents A and R
- Respondents C and H
- Respondents Q and S
Note 1: place a zero in front of the decimal for any number that is less than one (e.g. 0.12), and round your answers to the second decimal place (e.g. 1.23; 12.34). Finally you are welcome to provide your answers in a Word document and upload the document or you can copy and paste everything in the space provided below. To be on the safe side you should probably copy/paste the answers as well as upload a Word document with your answers.
Note 2: Although not required, I would suggest putting your final answers in a table where the respondent is the row and the answer category is the column (see example below). For those of you that like to show me your work, that is fine; you can include a column that shows your work at the beginning (between the Case and Z-Score columns) or at the end (right after the Area/Percentage above column) of the table.
Example format for your answers:
| Area Between | Area Between/Answer | Calculations or show work (this column is optional-see comment above). |
|---|---|---|
| Respondents A and B | 1.23 | 0.12 |
| Respondents C and D | 12.34 | 12.00 (this is for a whole number that doesn't have anything after the decimal). |