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The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals.

Western Eastern
Los Angeles 9 D.C. United 9
FC Dallas 3 Chicago 8
Chivas USA 4 Columbus 7
Real Salt Lake 3 New England 6
Colorado 4 MetroStars 5
San Jose 4 Kansas City 3

Conduct a hypothesis test to determine if the Western Reserve Division teams score, on average, fewer goals than the Eastern Reserve Division teams. Subscripts: 1 Western Reserve Division ( W ); 2 Eastern Reserve Division ( E )

The exact distribution for the hypothesis test is:

  • The normal distribution.
  • The student's-t distribution.
  • The uniform distribution.
  • The exponential distribution.

B

If the level of significance is 0.05, the conclusion is:

  • There is sufficient evidence to conclude that the W Division teams score, on average, fewer goals than the E teams.
  • There is insufficient evidence to conclude that the W Division teams score, on average, more goals than the E teams.
  • There is insufficient evidence to conclude that the W teams score, on average, fewer goals than the E teams score.
  • Unable to determine.

C

Questions [link][link] refer to the following.

Neuroinvasive West Nile virus refers to a severe disease that affects a person’s nervous system . It is spread by the Culex species of mosquito. In the United States in 2010 there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a 1% level of significance, conduct an appropriate hypothesis test. (Source: http:// http://www.cdc.gov/ncidod/dvbid/westnile/index.htm )

  • “2011” subscript: 2011 group.
  • “2010” subscript: 2010 group

This is:

  • a test of two proportions
  • a test of two independent means
  • a test of a single mean
  • a test of matched pairs.

A

An appropriate null hypothesis is:

  • p 2011 p 2010 size 12{p rSub { size 8{ ital "drugless"} }<= p rSub { size 8{ ital "drug"} } } {}
  • p 2011 p 2010 size 12{P rSub { size 8{ ital "drugless"} }>= P rSub { size 8{ ital "drug"} } } {}
  • μ 2011 μ 2010 size 12{μ rSub { size 8{ ital "drugless"} }>= μ rSub { size 8{ ital "drug"} } } {}
  • p 2011 > p 2010 size 12{P rSub { size 8{ ital "drugless"} }>P rSub { size 8{ ital "drug"} } } {}

A

The p size 12{p} {} -value is 0.0022. At a 1% level of significance, the appropriate conclusion is

  • There is sufficient evidence to conclude that the proportion of people in the United States in 2011 that got neuroinvasive West Nile disease is less than the proportion of people in the United States in 2010 that got neuroinvasive West Nile disease.
  • There is insufficient evidence to conclude that the proportion of people in the United States in 2011 that got neuroinvasive West Nile disease is more than the proportion of people in the United States in 2010 that got neuroinvasive West Nile disease.
  • There is insufficient evidence to conclude that the proportion of people in the United States in 2011 that got neuroinvasive West Nile disease is less than the proportion of people in the United States in 2010 that got neuroinvasive West Nile disease.
  • There is sufficient evidence to conclude that the proportion of people in the United States in 2011 that got neuroinvasive West Nile disease is more than the proportion of people in the United States in 2010 that got neuroinvasive West Nile disease.

D

Questions [link] and [link] refer to the following:

A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their 18-holes scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as follows.

Player 1 Player 2 Player 3 Player 4
Mean score before class 83 78 93 87
Mean score after class 80 80 86 86

This is:

  • a test of two independent means
  • a test of two proportions
  • a test of a single proportion
  • a test of matched pairs.

D

The correct decision is:

  • Reject H o size 12{H rSub { size 8{o} } } {}
  • Do not reject H o size 12{H rSub { size 8{o} } } {}

B

Questions [link] and [link] refer to the following:

Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. She takes random samples from each of the populations. The mean and standard deviation for 35 statistics day students were 75.86 and 16.91. The mean and standard deviation for 37 statistics night students were 75.41 and 19.73. The “day” subscript refers to the statistics day students. The “night” subscript refers to the statistics night students.

An appropriate alternate hypothesis for the hypothesis test is:

  • μ day > μ night size 12{μ rSub { size 8{8:"30"} }>μ rSub { size 8{"11":"30"} } } {}
  • μ day < μ night size 12{μ rSub { size 8{8:"30"} }<μ rSub { size 8{"11":"30"} } } {}
  • μ day = μ night size 12{μ rSub { size 8{8:"30"} } =μ rSub { size 8{"11":"30"} } } {}
  • μ day μ night size 12{μ rSub { size 8{8:"30"} }<>μ rSub { size 8{"11":"30"} } } {}

D

A concluding statement is:

  • There is sufficient evidence to conclude that statistics night students mean on Exam 2 is better than the statistics day students mean on Exam 2.
  • There is insufficient evidence to conclude that the statistics day students mean on Exam 2 is better than the statistics night students mean on Exam 2.
  • There is insufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.
  • There is sufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.

C

Questions & Answers

what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
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Source:  OpenStax, Collaborative statistics (custom online version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11476/1.5
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