Question 1183472: 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 by robertb(5830)   (Show Source):
You can put this solution on YOUR website! For the data set {62, 88, 71, 50, 67, 70, 92, 75, 68, 83, 95},
X-bar = 74.64 and s = 13.67.
Use significance level  .
==>  , with 10 d.f
==> p-value = 0.4661 > 0.05 (from https://stattrek.com/online-calculator/t-distribution.aspx)
Hence, do not reject  , and conclue that his students still have a good grasp of basic maths.
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