The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3 mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? T - N( b. For the group of 46, find the probability that the average hand length is more than 188. 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 YesO No Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem Z (+] • Finding Value Given a Probability Using the Central Limit Theorem 2 [+] • The Central Limit Theorem For Sums [+]

The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No

The average price of a college math textbook is $175 and the standard deviation is $23. Suppose that 14 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.   a. What is the distribution of ¯ x ? ¯ x ~ N b. or the group of 14, find the probability that the average price is between $170 and $179.  c. Find the third quartile for the average textbook price for this sample size

> Question 4 The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N( b. For the group of 7, find the probability that the average hand length is more than 188. c. Find the first 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 No Yes 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 ns [+] Hint Submit Question 40 % $ R 5 16 T 4- ^ 6 4+ Y 90 & BA 7 * U 19 144 8 ly 1 tio C I DII 9 DDI O P A