mposition teacher wishes to see whether a new grammar study program will reduce the number of matical errors her students make when writing a two page essay This data is normally distributed data from a sample of 6 students are shown below Student Errors Before Errors After 1 12 9 2 9 6 3 0 1 4 5 3 5 4 2 What is the 95 confidence interval for errors AFTER the new program Round to 3 What is the 95 confidence interval for errors BEFORE the new program Round to 3 decimal places 3 decimal places What is the 95 confidence interval for the DIFFERENCE in errors the new program Round to 3 decimal ces For example the difference in errors for student 1 is 3 and the difference in errors for student 3 1 We are 95 confident that errors will be reduced overall The error reduction for each student will be 95 of 1 5 which is 1 425 errors We are 95 confident that the mean error reduction is between 0 224 and 3 224 95 of students will see their errors reduced with the new study program Based on these results which is the interpretation of the 95 confidence interval in the mean difference errors Your exact values may vary slightly