Done 9 myopenmath.com AA _______smaumssh Chapter 7: Central Limit Theorem (Mean) Score: 0/? 0/7 answered Progress saved _' Done Q 6 ' 0 Question 3 v E40\" pt 03 7.: 99 @Details The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and standard deviation 10 mL. Suppose that 40 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ MC], l:l> b. What is the distribution of 5? f: MS Ct c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60 mL and 61.4 mL. E d. For the group of 40 pancake eaters, find the probability that the average amount of syrup is between 60 mL and 61.4 mL. [j e. For part d). is the assumption that the distribution is normal necessary? O NOD Yes Hm I: Some Helpful Videos: I Finding the Sampling Distribution 5' {+] 0 Finding a Probability Using the Central Limit Theorem El [+] I Finding Value Given a Probability Using the Central Limit Theorem E' [+] O The Central Limit Theorem For Sums E" [+] Hint' 10:29 Done myopenmath.com AA C Chapter 7: Central Limit Theorem (Mean) Score: 0/7 0/7 answered Progress saved Done B G VOCO . Question 1 Eon pt '03 3 99 @Details The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7 mm. Suppose that 15 individuals are randomly chosen. Raund all answers to 4where possible. a. What is the distribution of :E? 5 ~ N([:], b. For the group of 15, find the probability that the average hand length is more than 188. l: c. Find the third quartile for the average adult male hand length for this sample size. l: d. For part b), is the assumption that the distribution is normal necessary? C] YesC] No Hint: Some Helpful Videos: 0 Finding the Sampling Distribution I'3' [+] 0 Finding a Probability Using the Central Limit Theorem 3' [+] 9 Finding Value Given a Probability Using the Central Limit Theorem 5' [+] o The Central Limit Theorem For Sums L3 [+] Hint E3 Submit