In: Statistics and Probability
The age distribution of students in a graduate program is approximately Normal with un- known mean μ and standard deviation σ = 5. You sample 24 individuals from this population and calculate the sample mean 25.0.
(a) Calculate the 95% confidence interval for the mean based on these data. Interpret your interval.
(b) Calculate the 99% confidence interval for the data
(c) Is the 99% confidence intervals wider than the 95% confidence interval? Why?