# 10.5 Homework  (Page 7/7)

 Page 7 / 7

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:

• ${p}_{\text{2011}}\le {p}_{\text{2010}}$
• ${p}_{\text{2011}}\ge {p}_{\text{2010}}$
• ${\mu }_{\text{2011}}\le {\mu }_{\text{2010}}$
• ${p}_{\text{2011}}>{p}_{\text{2010}}$

A

The $p$ -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 ${H}_{o}$
• Do not reject ${H}_{o}$

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:

• ${\mu }_{\text{day}}>{\mu }_{\text{night}}$
• ${\mu }_{\text{day}}<{\mu }_{\text{night}}$
• ${\mu }_{\text{day}}={\mu }_{\text{night}}$
• ${\mu }_{\text{day}}\ne {\mu }_{\text{night}}$

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

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why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
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why?
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what school?
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biomolecules are e building blocks of every organics and inorganic materials.
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anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
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sciencedirect big data base
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Introduction about quantum dots in nanotechnology
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what does nano mean?
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absolutely yes
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s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
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what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
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what is the actual application of fullerenes nowadays?
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That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
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CYNTHIA
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so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
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Do you know which machine is used to that process?
s.
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SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
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Cied
what is biological synthesis of nanoparticles
Sanket Reply
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China
Cied
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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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