Unemployment Study Each month the U. S. Bureau of Labor Statistics publishes a v
ID: 3226151 • Letter: U
Question
Unemployment Study Each month the U. S. Bureau of Labor Statistics publishes a variety of unemployment statistics, including the number of individuals who are unemployed and the mean length of time the individuals have been unemployed. For November 1998, the Bureau of Labor Statistics reported that the national mean length of time of unemployment was 14.6 weeks. The mayor of Philadelphia requested a study on the status of unemployment in the Philadelphia area. A sample of 50 unemployed residents of Philadelphia included data on their age and the number of weeks without a job. A portion of the data collected in November 1998 follows. The complete data set is available in the data file BLS. 1. Use descriptive statistics to summarize the data. 2. Develop a 95% confidence interval estimate of the mean age of unemployed individuals in Philadelphia. 3. Is there a relationship between the age of an unemployed individual and the number of weeks of unemployment? Explain. 4. Present a few data representations and include appropriate analysis.Explanation / Answer
1.
Descriptive Statistics: Age, Week
N for
Variable StDev Variance CoefVar Median Range Mode Mode
Age 13.35 178.21 34.29 40.00 37.00 25 3
Week 10.35 107.03 61.58 18.00 36.00 22 2
2.
One-Sample T: Age
Variable N Mean StDev SE Mean 95% CI
Age 15 38.93 13.35 3.45 (31.54, 46.33)
3.
Correlation: Age, Week
Pearson correlation of Age and Week = 0.804
Corretaion indicates that there is strong positive correlation between age and weeks.
4.
Regression Equation
Week = -7.46 + 0.623 Age
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