Math 219 Create TWO separate surveys. On each you will ask a single question requiring a quantitative response.

student
Learning Goal: I’m working on a statistics question and need an explanation and answer to help me learn.

Create TWO separate surveys. On each you will ask a single question requiring a quantitative response.

    1. SURVEY 1 – You will write a direct and unbiased survey question that requires a quantitative response.
    2. SURVEY 2 – You will write the same survey question as in survey 1, but you will prompt it with a statement that may impose bias in their response.

Example 1:
Survey 1 Question: Out of the 144 weeks a student spends in class during their four years in high school, how many weeks do you think high school students should spend studying statistics in their math classes?

Survey 2 Question: We know that nearly everyone needs a general understanding of statistics, whether for the job, evaluating claims made in advertisements, or making good decisions during elections. So out of the 144 weeks a student spends in class during their four years in high school, how many weeks do you think high school students should spend studying statistics in their math classes?

Example 2:
Survey 1 Question: How many hours per week (not counting the time class) on average will you study for this class?

Survey 2 Question: Given that most academic counselors believe that students need to study 2 hours a week for every unit they take, how many hours per week (not counting the time class) on average will you study for this class?

Gather data from a minimum of 30 people, 15 for each for each survey question. That is, ask 15 people your survey question #1, and a different 15 people your survey question #2. We wish to compare the responses between the two groups. (Each group should be similar or representative of each other) This means the groups CANNOT be different in some fundamental way (Old versus Young, Students versus Non-Students, Parents versus Non-Parents, College Degree versus No College Degree). We do not want the samples to be the reason why the results are different.

RESPOND: Make sure to explain how you tried to ensure that both of your survey groups are similar or representative in some way. You should be thinking about what characteristics make the two groups similar.

Analyze the Data –

Using the Art of Stat, StatCrunch, or some other statistical software (Excel / Slides) to create the following and include it in your report:

  1. A frequency table for the results of each of the survey questions. You may choose how to bin your data.
  2. An appropriate graph for each of the survey questions that will help you see the distribution of the responses. They should be the same type of graph to compare.
  3. Describe the distribution for both survey results. Be sure to discuss the shape, center, and spread. For the center, include the mean, median, and mode. For the spread, include the standard deviation, range, and IQR.
  4. Compare the distributions. Explain which had the higher center and which had the larger spread.

Be sure to include all four aspects in your report.

Conclusion –

Make a conclusion about the results. Does it look like the wording of the survey question had an effect on the responses? Did the results match what you expected? How do you think the method you used to collect your data could have an impact on your results?

Also, I created the template.

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