The final exam for a biology class is worth 200 points. Out of 160 students who have taken exam, the sample mean is 135.3 and standard deviation is 37.9. To get at least a C on the final exam, a student requires at least 70% (that is 140 points).
At the 0.05 level of significance, test the claim that the mean score for final exam is greater than 140 points.