In: Math
Eight male and eight female college students who have credit cards were surveyed and asked their total credit card debt. The responses are given below in dollars:
| 
 Males  | 
 1000  | 
 2100  | 
 900  | 
 1200  | 
 1300  | 
 500  | 
 1400  | 
 700  | 
| 
 Females  | 
 1300  | 
 500  | 
 2000  | 
 1800  | 
 1300  | 
 1000  | 
 2600  | 
 1400  | 
1. Is this an observational study or a designed experiment? Explain your answer.
2. Is it reasonable to use Welch’s t-test? Explain your answer.
3. Is there a difference in the mean credit card debt of males and females? Use α = 0.10. List out all 5 steps in the hypothesis testing and show your work.
Step 1
Step 2
Step 3
Step 4
Step 5
4. Construct a 90% confidence interval for the difference in the mean credit card debt of male and female college students.
Lower Bound:
Upper Bound: