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In: Math

Eight male and eight female college students who have credit cards were surveyed and asked their...

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:  

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