Using the Paralyzed Veterans dataset, construct a 95% confidence interval for the mean age of a potential donor to the Paralyzed Veterans. Test the hypothesis that the mean age is 62 years old. Discuss what the confidence interval says about the hypothesis test. Is the difference meaningful as well? Now take a sample of size 20 from the dataset and repeat both the confidence interval and the hypothesis test. Discuss how sample size affects the probability of making errors and the power of a test.