Question

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 18 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

I don't have a calculator so I have been doing this in Excel. If I can get the explanation using excel that would be great!

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 18 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 16 ,5 ) b. What is the distribution of z? 7 ~ N(16 , 1.1785 ) c. What is the probability that one randomly selected person drinks between 15 and 17 ounces of coffee per day? 1585 d. For the 18 people, find the probability that the average coffee consumption is between 15 and 17 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 18 coffee drinkers. Q1 = * ounces Q3 = * ounces IQR: ounces Enter an integer or decimal number, accurate to at least 4 decimal places more.. 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

Answer 1

Civen 5 N N (16 5) a) 5 (b, 1-ne5) ) P(15 x) 15- P 2 2 22 S P.Yalu om 2-ae P(-0202) P(20.2) P2e -0-2) 0-5792 0 420 0 155 d) P (15x) nolg 17-16 15-1L 1785 1785 P(-0.8u520 08u85) (S8-0フマン 58-0-) P(20.8s)- P(24-0.85) 0.8023 D 176 O 6ou e yes

18 achr) or H 1G- (o 65785) (5 204 16 Co-b75 x I785) = 16-1854 3-8, 16.795 5 2a4