OCR S3 2016 June — Question 4

Exam BoardOCR
ModuleS3 (Statistics 3)
Year2016
SessionJune
TopicHypothesis test of a normal distribution

4 A group of students were tested in geography before and after a fieldwork course. The marks of 10 randomly selected students are shown in the table.
Student\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
Mark before fieldwork19848499591929495469
Mark after fieldwork23988388683328535888
  1. Use a suitable \(t\)-test, at the \(5 \%\) level of significance, to test whether the students' performance has improved.
  2. State the necessary assumption in applying the test.