# 10.5 Homework  (Page 7/7)

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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

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

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

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

what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
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.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
The formulation of new memories is sometimes called ________, and the process of bringing up old memories is called ________.
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