Question

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 the person was between 10.5 and 12.5 months old? For the 7 people, find the probability that the average age that they learned to walk is between 10.5 and 12.5 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 7 people. Q1 = months Q3 = months IQR: months

Answer #1

a) The distribution of X is normal with mean 12 and standard deviation 1 that is

The distribution of

Define the standard random variable Z as

So that

Define the standard random variable Z as

So that

The assumption that the distribution is normal is necessary

Since and

So

and

So IQR is

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...

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
that they learned to walk is...

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 9.8 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 9.2 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 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...

The amount of time that people spend at Grover Hot Springs is
normally distributed with a mean of 74 minutes and a standard
deviation of 14 minutes. Suppose one person at the hot springs is
randomly chosen. Let X = the amount of time that person spent at
Grover Hot Springs . Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N( , )
b. Find the probability that a randomly...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 9 minutes ago

asked 14 minutes ago

asked 29 minutes ago

asked 32 minutes ago

asked 46 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago