In: Statistics and Probability
Data set for ages of students in stats class:
17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,19, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 25, 25, 25, 26, 26, 27, 28, 28, 28, 28, 29, 29, 32, 36, 42
1) Suppose we are trying to use this sample to infer something about the ages of all PSU students. Explain why this is not a truly random sample and how it may be biased compared to the PSU student population at large. How does this affect problem 2?
2) Find a 95% confidence interval for the true standard deviation of ages.