In: Statistics and Probability
A simple random sample of size n is drawn. The sample mean, x overbar, is found to be 18.4, and the sample standard deviation, s, is found to be 4.8.
Construct a 95% confidence interval about μ if the sample size, n, is 34.
We have given that,
Sample mean =18.4
Sample standard deviation =4.8
Sample size =34
Level of significance=1-0.95=0.05
Degree of freedom =33
t critical value is (by using t table)=
2.035
Confidence interval formula is
=(16.72,20.08)