A standardized test is used to assem students knowledge of statistics (national census reported a mean score of 65 with a standard deviation of 5}. A sampled university of 100 students are tested (university reported a mean score of 58 with a known standard deviation of 3.2}. Please use Zoom 2 3.D9, Zones 2 2.53. 2am = -2.33, 20025 = -1.96, and Zens = 1.54 for your calculation. Question: 1. Please compute a two-sided 95% condence interval for the university. 2. Please compute a two-sided 99% condence interval for the university. 3. What is a two-sided 99% condence interval for the national census. 4. Suppose the university mean score and standard deviation don't change, what can we do to match the width of a 99% condence interval with a 95% condence interval? Please be very specic on your plan to earn full credits. If you report a change. please also report the corresponding change of the value. 5. How do students from the surveyed university compare to national performance