Question

You conducted research on annual salary for randomly-selected college graduates five years after their graduation dates. There were three groups of graduates:

• Nursing College Degree (1)
• Math College Degree (2)
• Biology College Degree (3)

   type   salary (in thousands per year)
1.00   22.00
1.00   15.00
1.00   28.00
1.00   64.00
1.00   35.00
1.00   31.00
1.00   20.00
1.00   46.00
1.00   21.00
1.00   13.00
1.00   11.00
1.00   12.00
1.00   30.00
1.00   27.00
1.00   29.00
1.00   23.00
1.00   21.00
1.00   20.00
1.00   25.00
1.00   23.00
2.00   29.00
2.00   60.00
2.00   50.00
2.00   75.00
2.00   84.00
2.00   31.00
2.00   32.00
2.00   40.00
2.00   45.00
2.00   23.00
2.00   61.00
2.00   55.00
2.00   26.00
2.00   28.00
2.00   39.00
2.00   44.00
2.00   42.00
2.00   51.00
2.00   41.00
2.00   58.00
3.00   50.00
3.00   52.00
3.00   31.00
3.00   90.00
3.00   99.00
3.00   82.00
3.00   71.00
3.00   40.00
3.00   31.00
3.00   28.00
3.00   46.00
3.00   49.00
3.00   52.00
3.00   19.00
3.00   45.00
3.00   54.00
3.00   38.00
3.00   38.00
3.00   59.00
3.00   27.00

1. Provide the mean annual salary of each group and the standard deviations. Which group had the highest annual salary? What about the lowest?
2. Provide the degrees of freedom between, within and total.
3. Was the assumption for equal variances met? Explain why or why not
4. ***********Be sure to include the appropriate SPSS outputs for this project for the questions.***********

Answer 1

1 st group standard Deviation, σ: 11.93147099062

Count, N:	20
Sum, Σx:	516
Mean, μ:	25.8
Variance, σ2:	142.36

Steps

σ2 =	Σ(xi - μ)2 N
=	(22 - 25.8)2 + ... + (23 - 25.8)2 20
=	2847.2 20
=	142.36

σ =	√142.36
=	11.93147099062

2 Nd group

Standard Deviation, σ: 15.912573644763

Count, N:	20
Sum, Σx:	914
Mean, μ:	45.7
Variance, σ2:	253.21

Steps

σ2 =	Σ(xi - μ)2 N
=	(29 - 45.7)2 + ... + (58 - 45.7)2 20
=	5064.2 20
=	253.21

σ =	√253.21
=	15.912573644763

3.

Group 3

Standard Deviation, σ: 20.852997386467

Count, N:	20
Sum, Σx:	1001
Mean, μ:	50.05
Variance, σ2:	434.8475

Steps

σ2 =	Σ(xi - μ)2 N
=	(50 - 50.05)2 + ... + (27 - 50.05)2 20
=	8696.95 20
=	434.8475

σ =	√434.8475
=	20.852997386467

Group 3 Biology college salary is highest

Group 1 nursing college salary is lowest