Week Six Discussion Question
(The data for this problem is fictional.)

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 2005, the Bureau of Labor
Statistics reported the national mean length of time of unemployment was 14.6 weeks.

The mayor of Detroit has requested a study on the status of unemployment in the Detroit area. A sample of 10 unemployed residents of Detroit included data on the age and the number of weeks without a job.

Answer and discuss the following questions.

1. How would you use descriptive statistics to summarize the data?

2. What would a 95% confidence interval estimate of the mean age of unemployed individuals in Detroit look like?

3. If you conduct a hypothesis test to determine whether the mean duration of unemployment in Detroit is greater than the national mean duration of 14.6 weeks. Use

4. Is there a relationship between the age of an unemployed individual and the number of weeks of unemployment?

5. Develop the estimated regression equation relating the weeks of unemployment to the age of an unemployed individual.

6. If I am 51 years old, how long would I expect to be unemployed? Explain.

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