please help to answer d, e and f please.

QUESTION 3 [11PTS] A Botanist studying palms is comparing stem diameters of Areco palms and Phoenix palms. She measures 19 randomlyr selected Areco' palms and finds a lot of variation (s=0.16m), whereas there is less variation among the Phoenix palms (s=0.06m). She decides to figure out the confidence interval for the population standard deviation of the Areca palms. a. Which distribution table should she use for her calculations? [1pt] b. What is the equation that she will need to use? [1pt] c. Use the equation and the table to calculate the confidence interval. Show all steps. [4pts] Keep at least 4 decimal places in your answer. d. Express the condence interval with the values rounded off according to the applicable round off rule [1pt] e. Suppose you needed to determine the 99% confidence interval, what would be the values for the left and right-tailed critical values? [2pts] f. If you wanted to be 99% confident that the sample standard deviation was within 10% of the true value, what sample size would you use? [2pts]