Answer to Question #236643 in Statistics and Probability for esha

Question

A lecturer wants to know if his statistics class has a good grasp of basic maths from matric level. Eleven students are chosen at random from the class and given a maths proficiency test. The lecturer wants the class to be able to score above 75 on the test to show that they had a good grasp of basic maths. The eleven students get scores shown below: 62 88 71 50 67 70 92 75 68 83 95 Can the lecturer be 95 percent confident that the students had a good grasp of basic maths? 

Answer 1

Using R

This result suggests that the sample is statistically greater than the 75 score.

75 score is significantly less than the sample (t = –0.0882, df = 10, p = 0.4657).