Eastern vs. Western States’ Spending on K-12 Education in 2014
Using the data below, compare how much the states East of the Mississippi spend on their K-12 students with how much states West of the Mississippi spend on their K-12 students. Make sure to create a numerical display (make a picture!), describe each distribution (in terms of shape, center and spread) and answer the question: who spends more?
Data in Desmos (Links to an external site.).
Eastern State |
$ per Student |
Western State |
$ per Student |
|
Alabama |
9,028 |
Alaska |
18,416 |
|
Connecticut |
17,745 |
Arizona |
7,528 |
|
Delaware |
13,938 |
Arkansas |
9,616 |
|
D.C. |
18,485 |
California |
9,595 |
|
Florida |
8,755 |
Colorado |
8,985 |
|
Georgia |
9,202 |
Hawaii |
12,485 |
|
Illinois |
13,077 |
Idaho |
6,621 |
|
Indiana |
9,548 |
Iowa |
10,688 |
|
Kentucky |
9,312 |
Kansas |
9,972 |
|
Maine |
12,707 |
Louisiana |
10,749 |
|
Maryland |
14,003 |
Minnesota |
11,464 |
|
Massachusetts |
15,087 |
Missouri |
9,875 |
|
Michigan |
11,110 |
Montana |
11,017 |
|
Mississippi |
8,263 |
Nebraska |
11,726 |
|
New Hampshire |
14,335 |
Nevada |
8,414 |
|
New Jersey |
17,907 |
New Mexico |
9,734 |
|
New York |
20,610 |
North Dakota |
12,358 |
|
North Carolina |
8,512 |
Oklahoma |
7,829 |
|
Ohio |
11,354 |
Oregon |
9,945 |
|
Pennsylvania |
13,961 |
South Dakota |
8,881 |
|
Rhode Island |
14,767 |
Texas |
8,593 |
|
South Carolina |
9,732 |
Utah |
6,500 |
|
Tennessee |
8,630 |
Washington |
10,202 |
|
Vermont |
16,988 |
Wyoming |
15,797 |
|
Virginia |
10,973 |
|||
West Virginia |
11,260 |
|||
Wisconsin |
11,186 |
If you would like the data in a Google sheet, click here to find it. (Links to an external site.)
Data based on US Census Bureau. Source: http://www.governing.com/gov-data/education-data/state-education-spending-per-pupil-data.html (Links to an external site.)
(Links to an external site.) (Links to an external site.)
Think It Through:
(1) Develop a thesis statement: You can complete the statement below or develop one of your own. You can also change your thesis statement later if your observations about the data warrant it.
Example: The Eastern States spend more on K-12 students than the Western States.
(2) Make observations about shape, center, spread and outliers (if there are any), for both the eastern states and the western states. Include any other observations that will be useful in supporting your thesis.
(3) Write the analysis:
Write one or more paragraphs that use your observations to support the thesis.
1)
Thesis: (Eastern State Colleges spend more on Students than Western State Colleges)
Null and Alternate Hypothesis
H0: Mean Per Student Spends for Eastern State is Same as Western State
Ha: Mean Per Student Spends for Eastern State is greater than Western State.
2)
Eastern State
Since the mean is greater than Median, the data is skewed to the right. Also, the large Standard Deviation suggests that the data is spread out (more than Western State)
From the boxplot, we conclude that there are no outliers.
Western State
Since the mean is greater than Median, the data is skewed to the right. Also, the large Standard Deviation suggests that the data is spread out.
From the boxplot, we conclude that there are two outliers.
3)
We will be using Hypothesis testing to conclude if our earlier thesis is correct.
Alpha = 0.05
Test Statistic
t = (x1-x2)/(s12/n1 + s22/n2)1/2 = 2.67
P-value = TDIST(2.67,27+24-2,1) = 0.005103
Result
Since the p-value is less than 0.05, we reject the null hypothesis in favour of alternate hypothesis ie Mean Per Student Spends for Eastern State is greater than Western State.
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