Question

# Eastern vs. Western States’ Spending on K-12 Education in 2014 Using the data below, compare how...

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

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.)

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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