Question

1. 12 raw diamonds of 3 carets each are chosen for a demonstration of a new robotic diamond cutter. This robot has sensors that can detect the planes of the diamond where it is to be cut and can supposedly cut a larger caret diamond than a human diamond cutter can. The 12 diamonds cut for this demonstration had these carets: 1.2, 1.3, 1.2, 1.1, 1.4, 1.3, 1.5, 1.3, 1.0, 1.0, 1.3, 1.4
Please give the UPPER VALUE for a 90% confidence interval for the average caret diamond cut by the robot when starting with a 3 caret raw diamond. Please submit the answer with 2 decimal places.

2.Across college campuses, students are now using blog's and other internet social tools. At one campus, it was found that 85% of the student body had a personal blog. You would like to find the percentage at a school who have a personal blog. You decide to find a 98% confidence interval for the true proportion of students who have a personal blog with a maximum margin of error of 0.08. How many students do you survey? (Please round the z value to 2 decimal places.)

Answer 1