1. For a hypothesis test using the z distribution, find the critical value for both a one tail test & two tail test at LC =.99. One tail test, Z = Two tail test, Z = + 2. Penndot wants to test their research theory that drivers are driving too close to the car in front of them, so they do a study of the distance between 100 cars on the PA Turnpike. They define "too close" as any distance under 50 feet; their sample has a mean of 45 with a o of 22. At a 98.96% LC, is their theory correct Ho: Ho is H: Conluusion: 3. The PA Assn of Brewers is attempting to confirm their research, at an LC of 93.7%, which theorizes that IUP has replaced PSU as the biggest party school in PA. PSU's average was 70 parties per week. Exercise 12: A recent sample of 100 IUP students revealed a mean of 72 parties with o known to be 12. Will IUP take over the top spot? [similar] Ho: Z = Ho is H,: Z = Conluusion: 4. How does the level of confidence relate to the level of significance