In: Statistics and Probability
Use the given degree of confidence and sample data to construct a confidence interval for the population mean
mu
.
Assume that the population has a normal distribution.
Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.
We have given that,
Sample mean =95
Sample standard deviation =6.6
Sample size =30
Level of significance=1-0.99=0.01
Degree of freedom =29
t critical value is (by using t table)=2.756
Lower confidence limit= 91.68
Upper confidence limit= 98.32