Answer to Question #224351 in Statistics and Probability for Millicent

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

$H_0: \mu >75 \\ H_1: \mu<75$

Using R

P-value = 0.4657 > p=0.05

Accept H₀.

The lecturer can be 95 percent confident that the students had a good grasp of basic maths.