Mat section 8

Name

Professor

Institution

Course

Date

Description

The unemployment data is important to the United States in making macro and microeconomic policies (Rufus, 2010). The average of the unemployment is 7.767, which is the general average of unemployment in all the states. However, at 95% critical value, the standard deviation is 1.88 while the variance from the mean is 3.554. This shows that the variances between the figures of mean are large enough. Cowan, (2012), the disparity is large due to the economic activities and endowment of various regions. On the other hand, the Skewedness is less than 4 and the Kurtosis is less than then 2, this means that the data do not violate the assumptions of the statistical analyses. The Skewedness and kurtosis is within the acceptable limits (Gary, Elder, Fast &, Hill, 2012; Kimberly, 2007).

Descriptive statistic

Anderson-Darling A-Squared 0.100

p 0.996

95% Critical Value 0.787

99% Critical Value 1.092

Mean 7.767

Mode 6.800

Standard Deviation 1.885

Variance 3.554

Skewedness -0.016

Kurtosis 0.102

N 52.000

Minimum 3.300

1st Quartile 6.600

Median 7.900

3rd Quartile 9.000

Maximum 12.600

Confidence Interval 0.525

for Mean (Mu) 7.242

0.95 8.292

For Stdev (sigma) 1.580

2.338

for Median 7.000

8.300

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Anova: Two Factor With Replication α 0.05 SUMMARY Data1 Total Nevada     Count 2 2 Sum 23.7 23.7 Average 11.85 11.85 Variance 1.125 1.125 Rhode Island     Count 2 2 Sum 21.2 21.2 Average 10.6 10.6 Variance 0.08 0.08 Mississippi     Count 2 2 Sum 20.3 20.3 Average 10.15 10.15 Variance 0.125 0.125 North Carolina     Count 2 2 Sum 19.7 19.7 Average 9.85 9.85 Variance 0.005 0.005 Georgia     Count 2 2 Sum 19.2 19.2 Average 9.6 9.6 Variance 0.02 0.02 Michigan     Count 2 2 Sum 18.4 18.4 Average 9.2 9.2 Variance 0.02 0.02 Indiana     Count 2 2 Sum 18 18 Average 9 9 Variance 0 0 Oregon     Count 2 2 Sum 17.6 17.6 Average 8.8 8.8 Variance 0.02 0.02 Arizona     Count 2 2 Sum 17 17 Average 8.5 8.5 Variance 0.08 0.08 Washington     Count 2 2 Sum 16.9 16.9 Average 8.45 8.45 Variance 0.005 0.005 Connecticut     Count 2 2 Sum 16.3 16.3 Average 8.15 8.15 Variance 0.005 0.005 Ohio     Count 2 2 Sum 16.1 16.1 Average 8.05 8.05 Variance 0.005 0.005 New York     Count 2 2 Sum 15.9 15.9 Average 7.95 7.95 Variance 0.005 0.005 West Virginia     Count 2 2 Sum 15.7 15.7 Average 7.85 7.85 Variance 0.005 0.005 Arkansas     Count 2 2 Sum 15.3 15.3 Average 7.65 7.65 Variance 0.005 0.005 Delaware     Count 2 2 Sum 14.7 14.7 Average 7.35 7.35 Variance 0.005 0.005 Wisconsin     Count 2 2 Sum 14.1 14.1 Average 7.05 7.05 Variance 0.005 0.005 Louisiana     Count 2 2 Sum 13.6 13.6 Average 6.8 6.8 Variance 0 0 Montana     Count 2 2 Sum 13.5 13.5 Average 6.75 6.75 Variance 0.005 0.005 Hawaii     Count 2 2 Sum 13.2 13.2 Average 6.6 6.6 Variance 0 0 Kansas     Count 2 2 Sum 12.5 12.5 Average 6.25 6.25 Variance 0.005 0.005 Oklahoma     Count 2 2 Sum 12.1 12.1 Average 6.05 6.05 Variance 0.005 0.005 Wyoming     Count 2 2 Sum 11.5 11.5 Average 5.75 5.75 Variance 0.005 0.005 Iowa     Count 2 2 Sum 10.7 10.7 Average 5.35 5.35 Variance 0.125 0.125 New Hampshire     Count 2 2 Sum 9.3 9.3 Average 4.65 4.65 Variance 0.405 0.405 Nebraska     Count 2 2 Sum 7.4 7.4 Average 3.7 3.7 Variance 0.32 0.32 Total     Count 52 52 Sum 403.9 403.9 Average 7.767308 7.767308 Variance 3.554008 3.554008 k

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X

Exercise 1

Ho: Saint Leo University is the largest of the three catholic Universities in Florida

H1: Saint Leo University is not the largest of the three catholic universities in Florida

23 20

12 12

23 45

67 11

46 13

25 23

45 21

89 15

t-Test: Two-Sample Assuming Unequal Variances  0.05

Equal Sample Sizes   Data1 Data2

Mean 41.25 20

Variance 680.7857 122

Observations 8 8

Hypothesized Mean Difference 0 df 9 t Stat 2.121 P(T<=t) one-tail 0.031 T Critical one-tail 1.833 P(T<=t) two-tail 0.063 T Critical Two-tail 2.262  

Decision

Reject Null Hypothesis because p < 0.05 (Means are Different)

Exercise 2:

The sample data is as shown below: 62, 67, 71, 74, 76, 77,

formula

This is also expressed as

Course assignment Assignment Grade Percentage of Course Grade

A 62 10

B 67 10

C 71 30

Total Percent Listed 50 Course Average for Listed Assignments 68.4 References

Rufus K., (2010). “Unemployment rates – Unemployment rates by State”. CNN Money,

Kimberly H., (2007). “What is the difference between seasonally adjusted and non-seasonally adjusted data?” Nebraska Department of Labor.

Cowan G., (2012).Statistical Data Analysis. Oxford Science Publications. Oxford.

Gary M, J. Elder, A, Fast &T. Hill (2012), publisher Practical Text Mining and Statistical Analysis for Non-structured Text Data Applications.NY Sage