I need help answering this question with all the work showing. I am using calc 84 application if you can show how to solve it using that calculator it would really help.

Question 8 The lengths of adult males' hands are normally distributed with mean 193 mm and standard deviation is 7.4 mm. Suppose that 13 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of 2? a - N( Enter an integer or decimal number, accurate to at least 4 decimal places [more..] b. For the group of 13, find the probability that the average hand length is less than 192. c. Find the third quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O Yes No Hint: Some Helpful Videos: . Finding the Sampling Distribution ' [+] . Finding a Probability Using the Central Limit Theorem ' [+] . Finding Value Given a Probability Using the Central Limit Theorem ' [+] . The Central Limit Theorem For Sums ' [+] Hint