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Copy of Review Questions module m17021 (http://cnx.org/content/ m17021/) from Collaborative Statistics by Dean and Illowsky http://cnx.org/content/col10522/ , 12/18/2008 . The FORMAT only of the question numbering has been changed.

The next three questions refer to the following information:

In a survey at Kirkwood Ski Resort the following information was recorded:

Sport participation by age
0 – 10 11 - 20 21 - 40 40+
Ski 10 12 30 8
Snowboard 6 17 12 5

Suppose that one person from of the above was randomly selected.

Find the probability that the person was a skier or was age 11 – 20.

REVIEW QUESTION 1 Solution : 77 100 size 12{ { { size 8{"77"} } over { size 8{"100"} } } } {}

Find the probability that the person was a snowboarder given he/she was age 21 – 40.

REVIEW QUESTION 2 Solution : 12 42 size 12{ { { size 8{"12"} } over { size 8{"42"} } } } {}

Explain which of the following are true and which are false.

  • A

    Sport and Age are independent events.
  • B

    Ski and age 11 – 20 are mutually exclusive events.
  • C

    P ( Ski and age 21 40 ) < P ( Ski age 21 40 ) size 12{P \( ital "Ski"+ ital "age""21" - "40" \)<P \( ital "Ski" \lline ital "age""21" - "40" \) } {}
  • D

    P ( Snowboard or age 0 10 ) < P ( Snowboard age 0 10 ) size 12{P \( ital "Snowboardorage"0 - "10" \)<P \( ital "Snowboard" \lline ital "age"0 - "10" \) } {}

    Review question 3 solution

  • A

    False
  • B

    False
  • C

    True
  • D

    False

The average length of time a person with a broken leg wears a cast is approximately 6 weeks. The standard deviation is about 3 weeks. Thirty people who had recently healed from broken legs were interviewed. State the distribution that most accurately reflects total time to heal for the thirty people.

REVIEW QUESTION 4 Solution : N ( 180 , 16 . 43 ) size 12{N \( "180","16" "." "43" \) } {}

The distribution for X size 12{X} {} is Uniform. What can we say for certain about the distribution for X ¯ size 12{ {overline {X}} } {} when n = 1 size 12{n=1} {} ?

  • A

    The distribution for X ¯ size 12{ {overline {X}} } {} is still Uniform with the same mean and standard dev. as the distribution for X size 12{X} {} .
  • B

    The distribution for X ¯ size 12{ {overline {X}} } {} is Normal with the different mean and a different standard deviation as the distribution for X size 12{X} {} .
  • C

    The distribution for X ¯ size 12{ {overline {X}} } {} is Normal with the same mean but a larger standard deviation than the distribution for X size 12{X} {} .
  • D

    The distribution for X ¯ size 12{ {overline {X}} } {} is Normal with the same mean but a smaller standard deviation than the distribution for X size 12{X} {} .

REVIEW QUESTION 5 Solution : A

The distribution for X size 12{X} {} is uniform. What can we say for certain about the distribution for X size 12{ Sum {X} } {} when n = 50 size 12{n=50} {} ?

  • A

    The distribution for X size 12{ Sum {X} } {} is still uniform with the same mean and standard deviation as the distribution for X size 12{X} {} .
  • B

    The distribution for X size 12{ Sum {X} } {} is Normal with the same mean but a larger standard deviation as the distribution for X size 12{X} {} .
  • C

    The distribution for X size 12{ Sum {X} } {} is Normal with a larger mean and a larger standard deviation than the distribution for X size 12{X} {} .
  • D

    The distribution for X size 12{ Sum {X} } {} is Normal with the same mean but a smaller standard deviation than the distribution for X size 12{X} {} .

REVIEW QUESTION 6 Solution : C

The next three questions refer to the following information:

A group of students measured the lengths of all the carrots in a five-pound bag of baby carrots. They calculated the average length of baby carrots to be 2.0 inches with a standard deviation of 0.25 inches. Suppose we randomly survey 16 five-pound bags of baby carrots.

State the approximate distribution for X ¯ size 12{ {overline {X}} } {} , the distribution for the average lengths of baby carrots in 16 five-pound bags. X ¯ ~ size 12{ {overline {X}} "~" } {}

REVIEW QUESTION 7 Solution : N ( 2 , .25 16 ) size 12{N \( { { size 8{2 "." "25"} } over { size 8{ sqrt {"16"} } } } \) } {}

Explain why we cannot find the probability that one individual randomly chosen carrot is greater than 2.25 inches.

Review question 8 solution

We do not know the probability distribution for the underlying population of lengths of the individual carrots.

Find the probability that X ¯ size 12{ {overline {X}} } {} is between 2 and 2.25 inches.

REVIEW QUESTION 9 Solution : 0.5000

The next three questions refer to the following information:

At the beginning of the term, the amount of time a student waits in line at the campus store is normally distributed with a mean of 5 minutes and a standard deviation of 2 minutes.

Find the 90th percentile of waiting time in minutes.

REVIEW QUESTION 10 Solution : 7.6

Find the median waiting time for one student.

REVIEW QUESTION 11 Solution : 5

Find the probability that the average waiting time for 40 students is at least 4.5 minutes.

REVIEW QUESTION 12 Solution : 0.9431

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Source:  OpenStax, Collaborative statistics homework book: custom version modified by r. bloom. OpenStax CNX. Dec 23, 2009 Download for free at http://legacy.cnx.org/content/col10619/1.2
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