Description
- Generate 1000 random samples of size 40 from the normal distribution with mean µ = 3 and
standard deviation σ = 2. Compute 95% the confidence interval of 1000 samples and find the rate
of confidence interval contains the true mean. What did you learn from this simulation study?
- For each of the distributions below, generate a random sample of size 100 and then plot the normal
probability plot (based on manual algorithm instead of built in function) of each data and discuss.
* (a) t-distribution (df=1)
* (b) t-distribution (df=10)
* (c) t-distribution (df=100)
* (d) standard normal distribution
- Conduct the exercise 7.33 by R. Also, when you verify the normality assumption in part (b) of 7.33,
use both box-plot and normal probability plot.
