388 CHAPTER 6 Inferential Statistics
Exercise
- As we have already seen it’s possible to use your TI calculators to
generate examples (simulations) of your own, as follows. Try the
following.
(a) On your TI, invoke randNorm(10. 3 , 2. 4 ,5)→L 1. What does
this command do?^26(b) Next, use your TI calculator to compute a 95% confidence
interval for the mean. (UseTIntervaland run theDataoption)(c) Did this interval capture the true mean?(d) If you were to perform this experiment 100 times, how many
times would you expect the computed confidence interval to
capture the true mean?(e) Here’s a code that will construct the above confidence interval
and compute the number of times it captures the true mean.
Run it and report on your findings. (The run time for this
program on a TI-83 is about four minutes.)(^26) It generates a (small) sample of size 5 taken from a normal population with mean 10.3 and
standard deviation 2.4.