Question

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 old?
- For the 13 people, find the probability that the average age that they learned to walk is between 12 and 13.5 months old.
- For part d), is the assumption that the distribution is normal necessary? YesNo
- Find the IQR for the average first time walking age for groups
of 13 people.

Q1 = months

Q3 = months

IQR: months

Answer #1

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 11 months and standard deviation 1.1 month.
14 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
What is the probability that one randomly selected person
learned to walk when the person was between 9.5 and 12.5 months
old?
For the 14 people, find the probability that the average age
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Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 2.1
month.
32 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
a. For the 32 people, find the probability that the average age
that they learned to walk is between 12.7 and 13.2 months old.
b.Find the IQR for the average first time walking age for groups
of 32 people....

psyppose age that cildren learn to walk is norm dusributed w mean
of 13 months and sr.dev.1. month ..15 randomly selected people were
asked what age they learned to walk ...
find that the sum of all afes for 15 rand.sel. will be greater
than 195 months .state command .
for 15 people,find prob.that the average that they learn to
walk is between 12 and 13.5 months ..
find IQR for average first rime

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...

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 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 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...

Suppose that the age of students at George Washington Elementary
school is uniformly distributed between 5 and 11 years old. 45
randomly selected children from the school are asked their age.
Round all answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ U(,)
Suppose that 45 children from the school are surveyed. Then the
sampling distribution is
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that the average of...

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