Part 1. Collecting data and getting to know your data. (3pts) A study was perfor
ID: 3350321 • Letter: P
Question
Part 1. Collecting data and getting to know your data. (3pts)
A study was performed to examine the grocery shopping habits of residents of Bozeman, Montana. The researchers left flyers on community boards all around town, asking residents of Bozeman, over the age of 18, to participate in a study on grocery shopping habits for the chance to win a $500 gift card to the grocery store of their choice. Among other things, the residents were asked: how many different grocery stores they regularly frequent; which reason, among cost, location, and product selection is most important to them when selecting a grocery store, and how much money they spend on groceries per individual in their household per week.
What is the target population in this example?
What is the unit of analysis in this study?
Which of the following sampling methods best describes how the researchers gathered their sample?
Is the variable measuring “number of frequented grocery stores” continuous or discrete?
Is the variable measuring “reason for preferred grocery store” qualitative or quantitative?
Explain how the sampling method may lead to biased results. In your explanation, please provide one example of how the sample might be different than the full population.
Part 2. Level of measurement (2pts)
Please select the appropriate level of measurement (nominal, ordinal, ratio, or interval) for each of the following items.
On average, how many minutes do you spend reading your textbook before each lecture in this course?
On a scale of 1 to 5, with 1 indicating extreme boredom and 5 indicating complete enthrallment, how would you rate your level of interest in the Star Wars series?
With a yes or no answer, please tell me whether you have ever been married.
Which of the following categories best describes your height? [less than 50 inches, between 50 and 55 inches, between 56 and 60 inches, between 61 and 65 inches, between 66 and 70 inches, over 70 inches].
What is the warmest temperature (in Fahrenheit) you can ever remember experiencing?
How many siblings do you have?
What is your favorite sport to watch?
How many physical fights have you been involved in during the past five years?
Part 3. Frequency Tables (1.5pts)
Fill out the blank boxes in the following frequency table and answer the corresponding questions.
Table 1: Highest level of educational attainment among Boston Police Department officers.
Highest level of educational attainment
Frequency (f)
Cumulative frequency
(cf)
Relative frequency
(%)
Cumulative relative frequency
(c%)
Doctorate
4
Master’s Degree
31
Bachelor’s Degree
99
Associate’s Degree
33
Some college, no degree
21
High school degree or less
12
What is the total number (n) of Boston PD officers represented in Table 1?
How many Boston PD officers have an Associate’s Degree?
How many Boston PD officers have a Doctorate or a Master’s Degree?
What percentage of Boston PD officers have some college, but no higher education degree?
How many Boston PD officers have an Associate’s degree or higher?
What percentage of officers have some form of higher education, beyond a high school degree?
Part 4. Displaying Data and the Location of Data (3.5pts)
True/False
Pie charts are useful for displaying distributions of quantitative variables.
To use a pie chart, your categories must be mutually exclusive.
Bar graphs and histograms are similar, except bar charts are used for categorical variables while histograms are used for quantitative variables.
We should always eliminate outliers from our datasets.
In time plots, time should always be placed on the X-axis.
Another name for the 2nd quartile (Q2) is the arithmetic mean.
Listed are 20 times for a cycling race, rounded to the nearest minute. The times are listed from fastest to slowest.
67, 83, 83, 83, 84, 84, 85, 85, 85, 85, 85, 86, 86, 88, 88, 89, 90, 90, 92, 103
Find the 20th percentile. Show your work or explain your process.
Find the percentile for a time of 89 minutes. Show your work or explain your process
Are there any outliers in this dataset? If yes, what is/are their value(s)? Show your work or explain your process.
Highest level of educational attainment
Frequency (f)
Cumulative frequency
(cf)
Relative frequency
(%)
Cumulative relative frequency
(c%)
Doctorate
4
Master’s Degree
31
Bachelor’s Degree
99
Associate’s Degree
33
Some college, no degree
21
High school degree or less
12
Explanation / Answer
Answer:
Part1:
Part2:
What is the total number (n) of Boston PD officers represented in Table 1?
Part 4. Displaying Data and the Location of Data (3.5pts)
True/False
Highest level of educational attainment Frequency (f) Cumulative frequency Relative frequency Cumulative relative frequency (cf) (%) (c%) Doctorate 4 4 0.02 0.020 Master’s Degree 31 35 0.155 0.175 Bachelor’s Degree 99 134 0.495 0.670 Associate’s Degree 33 167 0.165 0.835 Some college, no degree 21 188 0.105 0.940 High school degree or less 12 200 0.06 1.000