In: Statistics and Probability
Test scores of 9 randomly selected students are: 83, 73, 62, 63, 71, 77, 59, 92,77 Compute the 99% confident interval of the true mean.
We have for given data,
Sample mean =73
Sample standard deviation =10.69
Sample size =9
Level of significance= 1-0.99=0.01
Degree of freedom =8
t critical value is (by using t table)=3.355
Confidence interval formula is
=(61.05,84.96)
Lower confidence limit=61.05
Upper confidence limit= 84.96