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Owner: vgerks%sc
Created: Dec 06, 2006
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Preschool Teachers Salary
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Valerie Gerks
S. Grapevine
Statistics - Project Report
December 5, 2006


        The question I selected was, “What is the mean salary for preschool teachers in the Iowa, Quad Cities?  Is the mean salary less than $28,000 (the starting salary for a teacher in the K-12 system in Iowa)?”
	I collected my data first by calling the preschools listed in the phonebook on the Iowa side of the Quad Cities and speaking to the director of each facility.  The preschools that refused or seemed hesitant about this information, I went to the facility and spoke to the directors in person. Wages that were given either monthly or hourly, I figured a nine month preschool year and a forty hour work week. All salary’s are for an annual income for preschool teachers working a nine month school year and forty hours per week.
	The following are the results I collected:
		All Saints-Teddy Bear Club	$16,725
		Chatterbox Preschool		$10,800
		Creative Beginning		$ 8,640
		Early Head Start CAEI	        $14,040
		Eldridge Head Start		$14,400
		Guardian Angel @JFK	        $17,525
		Immanuel Lutheran		$10,800
		Kiddie Karrousel		$11,520		        KinderCare Learning-Dav.	$11,520
		KinderCare-Bett.		$11,520
		Kountry Kidz			$ 9,360
		Lucky Star Preschool		$ 5,400
		Morning Star Academy	        $15,520
		Noah’s Ark Preschool		$12,960
		Our House Preschool		$ 8,640
		Our Savior Preschool		$11,520
		Ready Set Grow Preschool	$13,500
		Redeemer Preschool		$10,080
		St. Mark’s Preschool		$10,080
		Trinity Lutheran Preschool	$15,000
		Westside Christian Preschool	$10,080
	The basic statistics for this information is:  Mean salary = $11,887.14, Median Salary = $11,520, and the Standard Deviation is $2,958.35.  I have included a Histogram for this information in StatCrunch under the name vgerks.  The interval estimated for the mean salary states lower limit would be $10,540.52 and the upper limit salary would be $13,233.77.
	The hypothesis test for the mean is as follows:
		H0: mean > $28,000 
		H1: mean <$28,000
		Test Statistic: -24.358
		Critical Value: .05 alpha, DF 20 = -1.725
		P Value: 0+
		Reject H0
        There is evidence that the annual salary of a preschool teacher is less than $28,000 the mean salary for a teacher in the K-12 system in Iowa.
	Sources of possible error could be the schools collected; faith based vs. public, education and experience pertaining to the preschool teacher’s position, and  also the personnel I spoke with.  I asked for the director but in certain instances I felt I was not speaking to this person.
	Ways to improve the study would be to go to the preschools and sit down with the directors and see what types of pay scales they offer for entry level preschool teachers.  Ask questions about education and experience, and record all different levels of pay.
	I have included all of the graphs and statistical figures in the StatCrunch program under the screen name of vgerks.  
	The mean salary for preschool teachers in the Iowa Quad Cities according to my random sample is $11,887.14.  The mean salary is less than the $28,000 (the starting salary for a teacher in the K-12 system in Iowa).

Result 1: Column Statistics-Project Report   [Info]
Summary statistics:
Column n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3 Sum
var1 21 11887.143 8751849 2958.3523 645.5654 11520 12125 5400 17525 10080 14040 249630

Result 2: One sample T statistics-Project Rpt   [Info]
95% confidence interval results:
μ : mean of Variable
Variable Sample Mean Std. Err. DF L. Limit U. Limit
Annual Salary 11887.143 645.5654 20 10540.517 13233.769

Result 3: One sample T statistics-Project Report   [Info]
Hypothesis test results:
μ : mean of Variable
H0 : μ = 0
HA : μ ≠ 0
Variable Sample Mean Std. Err. DF T-Stat P-value
Annual Salary 11887.143 645.5654 20 18.413538 <0.0001

Result 4: Histogram-Project Report   [Info]
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Data set 1. Project Report-Data   [Info]


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