In the next preview assignment and in the next class, you will need to identify the difference between a sample and a population, know how to create a dotplot, and calculate a proportion.
Definitions
Population: The population is the entire collection of individuals or objects that you want to learn about.[1]
Sample: A sample is a part of the population that is selected for study.[2] Samples, Populations, and Proportions
A survey is administered to undergraduate students at a college in Nebraska about their attitudes on the new learning management system used in all courses. Of the 40,322 students enrolled at the college, a random sample of 2,500 students were surveyed.
Question 1
What is the population?
Question 2
What is the sample?
Question 3
The number of students who responded to a question on the survey about the new learning management system with “Disagree” was 430. What is the proportion of students who responded with “Disagree” to the survey question?
Question 4
The number of students who responded to the survey was 1,350 students. What is the proportion of students who responded to the survey?
In Questions 5–11, we will be using a subset of school diversity data from 28 school districts in Nebraska. Locate spreadsheet DCMP_STAT_9A_School_Diversity.
There is a total of 28 observations in this subset of data. The first eight (of the 28) observations are shown in the following table.
| State | Location Type | School Year | AIAN | Asian | Black | Hispanic | White | Multi | Total | Diverse |
| NE | Town-distant | 2016–2017 | 0.32 | 1.11 | 0.32 | 7.90 | 89.26 | 1.11 | 633 | Undiverse |
| NE | City-small | 2016–2017 | 0.89 | 1.78 | 4.96 | 49.75 | 42.62 | 0.00 | 9905 | Diverse |
| NE | Town-fringe | 2016–2017 | 0.45 | 0.90 | 1.12 | 3.71 | 90.55 | 3.26 | 889 | Extremely undiverse |
| NE | Town-distant | 2016–2017 | 12.66 | 0.00 | 26.58 | 20.25 | 36.71 | 3.80 | 79 | Diverse |
| NE | Town-distant | 2016–2017 | 0.36 | 2.68 | 1.03 | 57.99 | 36.75 | 1.19 | 1940 | Diverse |
| NE | Town-distant | 2016–2017 | 0.24 | 0.56 | 1.12 | 6.63 | 89.13 | 2.32 | 1251 | Undiverse |
| NE | Town-distant | 2016–2017 | 0.38 | 0.89 | 0.80 | 4.79 | 90.70 | 2.44 | 2130 | Extremely undiverse |
| NE | Suburban-large | 2016–2017 | 0.81 | 2.31 | 8.35 | 13.23 | 69.83 | 5.46 | 10028 | Diverse |
The 11 variables are defined as:
State: NE
Location Type: Type of school district location: “town-distant,” “city-small,” “town fringe,” “suburban-large,” or “city-large”
School Year
AIAN: American Indian and Alaska native proportion of student population
Asian: Asian proportion of student population
Black: Black proportion of student population
Hispanic: Hispanic proportion of student population
White: White proportion of student population
Multi: Multi-ethnic proportion of student population
Total: Total student body count
Diverse: Diversity rating (diverse, undiverse, or extremely undiverse)
Question 5
Create a dotplot for the variable Asian.
Question 6
What is the mean proportion of students who are Asian?
Question 7
What is the standard deviation?
Question 8
Create another dotplot using a different race/ethnicity variable. The variable options are AIAN, Black, Hispanic, White, or Multi.
Question 9
What is the mean and standard deviation for the variable you picked in Question 8?
Question 10
Compare the means and standard deviations in Questions 6, 7, and 9.
Question 11
In the subset data, there are three categories for the variable Diverse (diverse, undiverse, and extremely undiverse). What is the proportion of school districts in Nebraska that are extremely undiverse?
