Question

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. 12 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

What is the distribution of X X ? X X ~ N(,)

What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,)

What is the probability that one randomly selected city's waterway will have more than 9.8 ppm pollutants?

For the 12 cities, find the probability that the average amount of pollutants is more than 9.8 ppm.

For part d), is the assumption that the distribution is normal necessary? Yes No

Find the IQR for the average of 12 cities.

Q1 = ppm

Q3 = ppm

IQR: ppm

Answer #1

The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 9.8 ppm and standard
deviation 1.4 ppm. 18 randomly selected large cities are studied.
Round all answers to 4 decimal places where possible.
What is the distribution of X? X ~ N(
What is the distribution of ¯x? ¯x ~ N
What is the probability that one randomly selected city's
waterway will have less than 8.8 ppm pollutants?
F or the 18 cities,...

The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 9.8 ppm and standard
deviation 1.6 ppm. 7 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 more than 10.7 ppm pollutants?
For the 7 cities, find...

The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 9.3 ppm and standard
deviation 1.3 ppm. 40 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 probability that one randomly selected city's
waterway will have less than 8.6 ppm pollutants?
For the 40 cities, find the probability that the average amount
of pollutants is...

The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 9.2 ppm and standard
deviation 1.3 ppm. 13 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 9.9 ppm pollutants?
For the 13 cities, find...

The amount of coffee that people drink per day is normally
distributed with a mean of 16 ounces and a standard deviation of 7
ounces. 32 randomly selected people are surveyed. 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 person
drinks between 15.6 and 16.5 ounces of coffee per day?
For the 32...

The amount of coffee that people drink per day is normally
distributed with a mean of 17 ounces and a standard deviation of 7
ounces. 32 randomly selected people are surveyed. 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 person
drinks between 16.8 and 17.4 ounces of coffee per day?
For the 32...

Suppose the age that children learn to walk is normally
distributed with mean 12 months and standard deviation 1 month. 7
randomly selected people were asked what age they learned to walk.
Round all answers to 4 decimal places where possible. What is the
distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯
x ~ N( , ) What is the probability that one randomly selected
person learned to walk when...

Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 1.2 month.
13 randomly selected people were asked what age they learned to
walk. 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 person
learned to walk when the person was between 12 and 13.5 months...

The amount of syrup that people put on their pancakes is
normally distributed with mean 56 mL and standard deviation 12 mL.
Suppose that 41 randomly selected people are observed pouring syrup
on their pancakes. 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(,)
If a single randomly selected individual is observed, find the
probability that this person consumes is between 56.7...

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 101 and a standard deviation of
14. Suppose one individual is randomly chosen. Let X = IQ of an
individual.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected person's IQ is
over 75. Round your answer to 4 decimal
places.
c. A school offers special services for all children in the...

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