# Descriptive Statistics, CI, and Hypothesis Test

[See attached data file.]

1. Use descriptive statistics to summarize the data. Your descriptive statistics should include the following items with a short explanation of what each means:

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

2. Develop a 95% confidence interval estimate of the mean age of the unemployed individuals in Philadelphia. Also, what does the interval mean?

3. Develop a null hypothesis and an alternative hypothesis. Conduct a hypothesis test to determine whether the mean duration of unemployment in Philadelphia is greater than the national mean duration of 14.6 weeks. Use a .01 level of significance. What does the outcome mean?

4. Is there a relationship between the age of an unemployed individual and the number of weeks of unemployment? Why or why not?

5. Please help write a conclusion that addresses your findings from questions 1-4. In other words, based on your analysis prompted by questions 1-4, what can you determine from the data and your analysis?

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