Question
In: Statistics and Probability
The amount of pollutants that are found in waterways near large cities is normally distributed with...
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.7 ppm and standard deviation 1.8 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.
- What is the distribution of XX? XX ~ N(,)
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- What is the probability that one randomly selected city's waterway will have less than 8.7 ppm pollutants?
- For the 6 cities, find the probability that the average amount of pollutants is less than 8.7 ppm.
- For part d), is the assumption that the distribution is normal necessary? YesNo
- Find the IQR for the average of 6 cities.
Q1 = ppm
Q3 = ppm
IQR: ppm
Solutions
orchestra answered 1 year agoRelated Solutions
The amount of pollutants that are found in waterways near large cities is normally distributed with...
The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 9.7 ppm and standard
deviation 1.6 ppm. 38 randomly selected large cities are studied.
Round all answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that one randomly selected city's
waterway will have less than 10.4 ppm pollutants?
For the 38 cities, find...
The amount of pollutants that are found in waterways near large cities is normally distributed with...
The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 8.8 ppm and standard
deviation 1.8 ppm. 37 randomly selected large cities are studied.
Round all answers to 4 decimal places where possible.
What is the distribution of X? X ~
N(Correct,Correct)
What is the distribution of ¯x? ¯x ~ N(,)
What is the probability that one randomly selected city's
waterway will have less than 9.6 ppm pollutants?
For the 37 cities, find...
he amount of pollutants that are found in waterways near large cities is normally distributed with...
he amount of pollutants that are found in waterways near large
cities is normally distributed with mean 10 ppm and standard
deviation 1.5 ppm. 36 randomly selected large cities are studied.
Round all answers to 4 decimal places where possible.
For the 36 cities, find the probability that the average amount
of pollutants is less than 10.6 ppm.
Find the IQR for the average of 36 cities. Round to two decimal
places.
Q1 = ppm
Q3 = ppm
IQR: ppm
Q4) The temperature degrees of certain set of cities are normally distributed. The cities are classified...
Q4) The temperature degrees of certain set of cities are
normally distributed. The cities are classified into three
categories. The lowest 12.92% are in category I, The highest 10.38%
are in Category III, and the other cities are in category II, with
degrees between α and β.
i. Find the z- scores of α and β.
ii. Given the mean temperature degrees is 6.84 and the standard
deviation is 0.25. Find the values of α and β
On an ostrich farm, the weights of the birds are found to be normally distributed. The...
On an ostrich farm, the weights of the birds are found to be
normally distributed. The weights of the females have a mean 78.6
kg and a standard deviation of 5.03 kg. The weights of the males
have a mean 91.3 kg and a standard deviation of 6.29 kg. Find the
probability that a randomly selected: Male will weight less than 80
kg. Female will weight less than 80 kg. Female will weigh between
70 and 80 kg. 20% of...
Assume that the amount of cornflakes in a box is normally distributed with a mean of...
Assume that the amount of cornflakes in a box is normally
distributed with a mean of 16 oz. and a standard deviation of 0.1
oz.
a) Determine the percent of boxes that will contain between
15.83 oz. and 16.32 oz. of cornflakes?
b) Determine the percent of boxes that will contain more than
16.16 oz. of cornflakes.
c) If the manufacturer produces 300,000 boxes, how many of them
will contain less than 15.83 oz. of cornflakes?
d) If the manufacturer...
The mass of a species of mouse commonly found in houses is normally distributed with a...
The mass of a species of mouse commonly found in houses is
normally distributed with a mean of 20.8 grams with a standard
deviation of 0.18 grams.
a) What is the probability that a randomly chosen mouse has a
mass of less than 20.64 grams?
b) What is the probability that a randomly chosen mouse has a
mass of more than 20.99 grams?
c) What proportion of mice have a mass between 20.71 and 20.9
grams?
The mass of a species of mouse commonly found in houses is normally distributed with a...
The mass of a species of mouse commonly found in houses is
normally distributed with a mean of 20.9 grams with a standard
deviation of 0.19 grams.
a) What is the probability that a randomly chosen mouse has a
mass of less than 20.7 grams?
b) What is the probability that a randomly chosen mouse has a
mass of more than 21.05 grams?
c) What proportion of mice have a mass between 20.79 and 21.05
grams?
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of
2.0
liters
and a standard deviation of
0.05
liter. Suppose you select a random sample of
25
bottles.
a. What is the probability that the sample mean will be
between
1.99
and
2.0
liters?
b. What is the probability that the sample mean will be
below
1.98
liters?
c. What is the probability that the sample mean will be greater
than
2.01
liters?
d....
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of
2.0 liters and a standard deviation of 0.05 liter. Suppose you
select a random sample of 25 bottles.
a. What is the probability that the sample mean will be between
1.99 and 2.0 liters?
b. What is the probability that the sample mean will be below
1.98 liters?
c. What is the probability that the sample mean will be greater
than 2.01 liters?
d....
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