Discuss the below:
Q1: 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
Q2: Develop a 95% confidence interval estimate of the mean age of the unemployed individuals in Philadelphia. Also, what does the interval mean?
Q3: 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?
Q4: Is there a relationship between the age of an unemployed individual and the number of weeks of unemployment? Why or why not?
| Age |
Weeks |
| 56 |
22 |
| 35 |
19 |
| 22 |
7 |
| 57 |
37 |
| 40 |
18 |
| 22 |
11 |
| 48 |
6 |
| 48 |
22 |
| 25 |
5 |
| 40 |
20 |
| 25 |
12 |
| 25 |
1 |
| 59 |
33 |
| 49 |
26 |
| 33 |
13 |
| 56 |
15 |
| 20 |
17 |
| 31 |
11 |
| 27 |
17 |
| 23 |
3 |
| 45 |
17 |
| 29 |
14 |
| 31 |
4 |
| 59 |
39 |
| 39 |
7 |
| 35 |
12 |
| 44 |
38 |
| 27 |
14 |
| 24 |
6 |
| 27 |
7 |
| 45 |
25 |
| 42 |
33 |
| 45 |
16 |
| 44 |
12 |
| 21 |
13 |
| 31 |
16 |
| 42 |
4 |
| 23 |
14 |
| 51 |
31 |
| 27 |
7 |
| 30 |
10 |
| 33 |
23 |
| 32 |
8 |
| 22 |
7 |
| 51 |
12 |
| 50 |
16 |
| 21 |
9 |
| 38 |
5 |
| 26 |
8 |
| 55 |
35 |