Question

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 mL and 59 mL.
- For the group of 41 pancake eaters, find the probability that the average amount of syrup is between 56.7 mL and 59 mL.
- For part d), is the assumption that the distribution is normal necessary? NoYes

Answer #1

5. Suppose that the average number of Facebook
friends users have is normally distributed with a mean of 125 and a
standard deviation of about 55. Assume fourteen individuals are
randomly chosen. Answer the following questions. Round all answers
to 4 decimal places where possible.
a. What is the distribution of x¯? x¯ ~ N( , ) ______
b. For the group of 14, find the probability that the average
number of friends is less than 107. ___
c. Find...

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 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 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...

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 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...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 43
minutes and standard deviation 23 minutes. A researcher observed 11
students who entered the library to study. 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 distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 21 minutes. A researcher observed 46
students who entered the library to study. 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 distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

The average amount of money spent for lunch per person in the
college cafeteria is $7.42 and the standard deviation is $2.71.
Suppose that 16 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and 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( , )
For a single randomly selected lunch patron, find the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 11 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 47 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago