1. A researcher wanted to explore State University's reputation for being a party school. He found that, based on a random sample of 117 collegiate households, there were an average of 3.8 parties per month. Nationally, data shows that, on average, college students experience 3.3 parties per month with a standard deviation of 0.53. Using this information test to see if:

a) At the 95% level of confidence, State University experiences a significantly different number of parties per month that the national average

b) At the 99% level of confidence, State University experiences a significantly higher number of parties per month that the national average

2. A random sample of 423 of citizens from City X has finished an average of 12.2 years of education. At the 99% level of confidence, is this significantly lower than the national average of 12.35 years (standard deviation of 1.7 years)?