Researchers asked 101 people at a fair to pour 25 mL of whiskey into a glass and then measured the actual amount poured. 27 of those people were slightly intoxicated (at least one drink), and the other 74 were sober.

Suppose that the researchers would like to show that intoxicated people (people who have had a drink) tend to pour more alcohol than people who are totally sober.

Let Group 1 represent people who have had a drink and Group 2 represent people who are sober.

1. State the hypotheses.

2. What is the p-value?

3. Compute a 90% confidence interval for the parameter of interest.

4. What is the upper value?

5. Can we conclude that intoxicated people (people who have had a drink) tend to pour more alcohol than people who are totally sober? Explain using the 90% confidence interval.