Incements S D Question 15 4 pts les pto Recordings A survey given to 50 college students found that the mean amount this sample of students spent course-related ies and on books and lab supplies during one school year was $970 and the standard deviation was $210 ources (a) Determine the critical value that would be used to construct a 99% confidence interval for the mean amount spent on books and lab supplies by the population of college students. (b) Calculate the margin of error E for the 99% confidence interval for the mean amount spent on books and lab supplies by the population of college students. Round to 4 decimal places. (c) Construct the 99% confidence interval for the mean amount spent on books and lab supplies by the population of college students. Round the bounds of the interval to 2 decimal places. Be sure to enter the lower bound in the first and the upper bound in the second box