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: