b. Interpret your confidence interval.
3. The standard deviation of SAT scores for students at a particular college is 215 points. A student wants to estimate the average SAT score of
students at this college as part of a class project. They want their margin of error to be no more than 20 points.*
a. The student wants to use a 90% confidence interval. How large a sample should they collect? Give the smallest sample size possible.
b. Suppose instead they were to use a 99% confidence interval. Without calculating the actual sample size, determine whether the sample should
be larger or smaller than at 90%, and explain your reasoning.