Exercise 3

1. Consider the population data in the file normal.txt. This data is normally distributed.
   1. Find the population mean and variance
   2. Generate a random sample of size 20. (i.e. randomly select 10 numbers from the population)
   3. Find a 90% and 95% confidence interval for the mean
   4. Is the population mean within the intervals?
   5. Generate a random sample of size 50. Find a 90% confidence interval for the variance. Is the population variance within the interval?
2. Two packet routing algorithms are being evaluated. Experiments were conducted by injecting the same workload in the network and measuring the average end-to-end packet delay. The results of the various experiments are shown in this table.
              
   Can you say with 95% confidence that routing algorithm A is better than algorithm B?