The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 8 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a.What is the distribution of XX? XX ~ N( , ) b.What is the distribution of ¯xx¯? ¯xx¯ ~ N( , ) c.What is the probability that one randomly selected person drinks between 14 and 16.5 ounces of coffee per day? = d.For the 8 people, find the probability that the average coffee consumption is between 14 and 16.5 ounces of coffee per day. = e.For part d), is the assumption that the distribution is normal necessary? Yes OR No (pick one) f.Find the IQR for the average of 8 coffee drinkers. Q1 = ounces Q3 = ounces IQR: ounces Answer all questions a-f please!
The amount of coffee that people drink per day is
a.What is the distribution of XX? XX ~ N( , )
b.What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )
c.What is the
d.For the 8 people, find the probability that the average coffee consumption is between 14 and 16.5 ounces of coffee per day. =
e.For part d), is the assumption that the distribution is normal necessary? Yes OR No (pick one)
f.Find the IQR for the average of 8 coffee drinkers.
Q1 = ounces
Q3 = ounces
IQR: ounces
Answer all questions a-f please!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
