The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 4 ounces. 10 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 15 34 b. What is the distribution of a? N 15 1.2649 c. What is the probability that one randomly selected person drinks between 13.5 and 16 ounces of coffee per day? 0.2449 d. For the 10 people, find the probability that the average coffee consumption is between 13.5 and 1 ounces of coffee per day. 0.6676 e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average of 10 coffee drinkers. Q1 = ounces ounces IQR: ounces

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a
standard deviation of 4 ounces. 10 randomly selected people are surveyed. Round all answers to 4 decimal
places where possible.
a. What is the distribution of X? X - NO 15
b. What is the distribution of ? N 15
✔ 1.2649 ✓ o
c. What is the probability that one randomly selected person drinks between 13.5 and 16 ounces of
coffee per day? 0.2449
d. For the 10 people, find the probability that the average coffee consumption is between 13.5 and 16
ounces of coffee per day. 0.6676
e. For part d), is the assumption that the distribution is normal necessary?
Yes No d
f. Find the IQR for the average of 10 coffee drinkers.
Q1=
ounces
ounces
ounces
Hint:
Hint
Transcribed Image Text:The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 4 ounces. 10 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO 15 b. What is the distribution of ? N 15 ✔ 1.2649 ✓ o c. What is the probability that one randomly selected person drinks between 13.5 and 16 ounces of coffee per day? 0.2449 d. For the 10 people, find the probability that the average coffee consumption is between 13.5 and 16 ounces of coffee per day. 0.6676 e. For part d), is the assumption that the distribution is normal necessary? Yes No d f. Find the IQR for the average of 10 coffee drinkers. Q1= ounces ounces ounces Hint: Hint
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9
Opm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X - N( 9
1.7
✔
b. What is the distribution of a? - N9
0.6425 ✓) o
c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm
pollutants? 0.5700
d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm.
0.6797
No
e. For part d), is the assumption that the distribution is normal necessary? Yes
f. Find the IQR for the average of 7 cities.
Q1 =
I
ppm
03=
Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
ppm
IQR:
ppm
من
میں
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 Opm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 9 1.7 ✔ b. What is the distribution of a? - N9 0.6425 ✓) o c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? 0.5700 d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. 0.6797 No e. For part d), is the assumption that the distribution is normal necessary? Yes f. Find the IQR for the average of 7 cities. Q1 = I ppm 03= Enter an integer or decimal number, accurate to at least 4 decimal places [more..] ppm IQR: ppm من میں
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