onstruct a 99% confidence interval for if the sample size, is n=15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E, and of the confidence interval? What is the width of this 99 % confidence interval. Are there some values in the 99% confidence interval that are not in the 95% confidence interval? You do not need to find or construct a new confidence interval (d) Is the critical value t/2,n1 a quantile or a probability? Use the pt() command in R and write the link between this quantile and /2 or 1 /2