please solve 2.2 only and circle the final answer

Question 2.3. The professor tells the class that a 90% confidence interval for the parameter is constructed exactly like a 95% confidence interval, except that you have to go only 1.65 SDs on either side of the estimate (11.65) instead of 2 SDs on either side (:2). Assign smallest_num to the smallest number of students they should sample to ensure that a 90% confidence interval for the parameter has a width of no more than 6% from left end to right end? (6 points) Note: While the true smallest sample size would have to be an integer, please leave your answer in decimal format for the sake of our tests. : smallest_num smallest_num : grader .check( "q2_3 ")