The following is a random sample of IQ scores from a prestigious college: 94 101 109 109 115 117 119 125 125 125 134 146 155

4. A "superior" IQ is defined as being 120 or higher. How many students in our sample does this apply to? Use this to find the proportion of students with a superior IQ and construct a 90% confidence interval for the true proportion of students with superior IQ at this school.

5) If we want to the margin of error for the preceding interval to be less than 10 percentage points, how many total students must be sampled?