JKN 10 Inference 2 Populations.Consider the following set of d.docx

JKN 10 Inference 2 Populations.
Consider the following set of data.
Pairs
1
2
3
4
5
Sample A
9
4
3
5
3
Sample B
3
8
2
7
1
(a) Find the paired differences, d = A - B, for this set of data.
(d1)
(d2)
(d3)
(d4)
(d5)
(b) Find the mean d of the paired differences. (Give your
answer correct to one decimal place.)
(c) Find the standard deviation sd of the paired differences.
(Give your answer correct to two decimal places.)

Salt-free diets are often prescribed to people with high blood
pressure. The following data values were obtained from an
experiment designed to estimate the reduction in diastolic blood
pressure as a result of consuming a salt-free diet for 2 weeks.
Eight subjects had their blood pressure measured and then ate a
salt free diet for two weeks and had their blood pressure
measured again. Assume diastolic readings to be normally
distributed.
Before
99
105
93
102
100
108
107
97
After
92
102
91
94
96
98
100
93
(a) The proper TI-83 program to use to compute the confidence
interval for the mean reduction in blood pressure is:
(b) Find the 98% confidence interval for the mean reduction.
(Give your answers correct to two decimal places.)
Lower Limit

Upper Limit
(c) Which of the following statements is true about the
confidence interval? (More than one may apply)
We are 98% confident that the true mean of the individual
differences in blood pressure is in the intervalIf we took 100
samples and constructed 100 confidence intervals for the mean
of the individual differences, approximately 98 of them would
contain the true mean of the individual differencesWe are 98 %
confident that the mean of the after data minus the mean of the
before data is in the intervalWe are 98 % confident that the
mean of the before data minus the mean of the after data is in
the interval
An experiment was designed to estimate the mean difference in
weight gain for pigs fed ration A as compared with those fed
ration B. Eight pairs of pigs were used. The pigs within each
pair were litter-mates. The rations were assigned at random to
the two animals within each pair. The gains (in pounds) after 45
days are shown in the following table. Assuming weight gain is
normal, find the 99% confidence interval estimate for the mean
of the differences μd, where d = ration A - ration B. (Give your
answers correct to two decimal places.)
Litter
1
2
3
4
5
6
7
8
Ration A

56
40
60
59
43
40
50
46
Ration B
54
30
50
56
37
36
42
40
Lower Limit
Upper Limit
State the null hypothesis, Ho, and the alternative
hypothesis, Ha, that would be used to test these claims.
(a) There is an increase in the mean difference between post-
test and pretest scores.(d=post-test scores - pretest scores)
Ho: μd
0
Ha: μd
0
(b) Following a special training session, it is believed that the
mean of the difference in performance scores will not be zero.
Ho: μd
0

Ha: μd
0
(c) On average, there is no difference between the readings from
two inspectors on each of the selected parts.
Ho: μd
0
Ha: μd
0
(d) The mean of the differences between pre-self-esteem scores
and post-self-esteem scores showed improvement after
involvement in a college learning community. (d= post self-
esteem scores - pre-self-esteem scores.)
Ho: μd
0
Ha: μd
0
Ten randomly selected college students, who participated in a
learning community, were given pre–self-esteem and post–self-
esteem surveys. A learning community is a group of students
who take two or more courses together. Typically, each learning
community has a theme, and the faculty involved coordinate
assignments linking the courses. Research has shown that the
benefits of higher self-esteem, higher grade point averages
(GPAs), and improved satisfaction in courses, as well as better
retention rates, result from involvement in a learning
community. The scores on the surveys are as follows.
Student
1
2
3
4
5

6
7
8
9
10
Prescore
21
19
14
19
18
16
11
20
20
16
Postscore
16
13
12
22
19
14
16
13
15
16
Lower scores indicate higher self-esteem. Does this sample of
students show sufficient evidence that postscores were lower
than prescores indicating self-esteem was higher after
participation in a learning community? Use the 0.05 level of
significance and assume normality of scores.
(a) The proper TI-83 Program to solve this problem is:
2-Sample TTest2-Sample ZTest TTest on the differencesZTest
on the differences

(b) Find the p-value. (Give your answer correct to three decimal
places.)
(c) State the appropriate conclusion.
Reject H0. At the 0.05 level of significance, there is insufficient
evidence to show that one's self esteem increases after
participation in a learning community.Reject H0. At the 0.05
level of significance, there is sufficient evidence to show that
one's self esteem increases after participation in a learning
community. Fail to reject H0. At the 0.05 level of
significance, there is sufficient evidence to show that one's self
esteem increases after participation in a learning
community.Fail to reject H0. At the 0.05 level of significance,
there is insufficient evidence to show that one's self esteem
increases after participation in a learning community.
To test the effect of a physical fitness course on one's physical
ability, the number of sit-ups that a person could do in 1
minute, both before and after the course, was recorded. Ten
randomly selected participants scored as shown in the following
table. Can you conclude that a significant amount of
improvement took place? )(d=after - before) Use α = 0.01 and
assume normality.
Before
11
19
16
11
11
13
19
13
15
17
After

21
25
23
23
24
25
25
19
15
21
(a) Find the p-value. (Give your answer correct to three decimal
places.)
(b) State the appropriate conclusion.
Reject H0. At the 0.01 level of significance, there is sufficient
evidence to show that there is an improvement after the
course.Fail to reject H0. At the 0.01 level of significance, there
is insufficient evidence to show that there is an improvement
after the course. Reject H0. At the 0.01 level of significance,
there is insufficient evidence to show that there is an
improvement after the course.Fail to reject H0. At the 0.01 level
of significance, there is sufficient evidence to show that there is
an improvement after the course.
(c) Which of the following statements are true about the p-
value?
1. P-value is the probability that our statistical evidence, the
sample mean is explained by sampling variation or "chance"
2. The p-value is the probability that the null hypothesis is
true
3. The p-value is a probability statement about the sample
mean
4. p-value is calculated using a t-sampling distribution with
9 df with μd = 0
false

Two men, A and B, who usually commute to work together,
decide to conduct an experiment to see whether one route is
faster than the other. The men believe that their driving habits
are approximately the same, and therefore they decide on the
following procedure. Each morning for 2 weeks, A will drive to
work on one route and B will use the other route. On the first
morning, A will toss a coin. If heads appear, he will use route I;
if tails appear, he will use route II. On the second morning, B
will toss the coin: heads, route I; tails, route II. The times,
recorded to the nearest minute, are shown in the following
table. Assuming commute times are normal, find
the 95% confidence interval estimate for the mean of the
differences μd, where d = route I − route II. (Round your
answers to two decimal places.)
Day
Route
M
Tu
W
Th
F
M
Tu

W
Th
F
I
29
29
25
30
27
24
25
29
24
29
II
29
26
28
26
25
23
23
29
30
25
lower limit
upper limit
Reduced heart rate variability (HRV) is known to be a predictor

of mortality after a heart attack. One measure of HRV is the
average of normal-to-normal beat interval (in milliseconds) for
a 24-hour time period. Twenty-two heart attack patients who
were dog owners and 50 heart attack patients who did not own a
dog participated in a study of the effect of pet ownership on
HRV, resulting in the summary statistics shown in the
accompanying table.
Measure of
HRV (average
normal-to-normal
beat interval)
Mean
Standard
Deviation
Owns Dog
873
136
Does Not Own Dog
805
133
The authors of this paper used a two-sample t test to test
H0: μ1 - μ2 = 0 versus Ha: μ1 - μ2 ≠ 0.
(a) What assumptions must be made in order for this to be an
appropriate method of analysis?
We must assume that the population of is approximately
normal and we must also assume that the samples are of each
other.
(b) The paper indicates that the null hypothesis was rejected and
reports that the P-value is less than 0.01. Carry out the two-
sample t test. What is your p-value rounded to 3 decimal
places?

(c) Is your conclusion consistent with that of the paper?
YesNo
Each person in random samples of 237 male and 263 female
working adults living in a certain town in Canada was asked
how long, in minutes, his or her typical daily commute was.
Males
Females
Sample
size
x1
s
Sample
size
x2
s
237
31.6
24.0
263
29.3
24.3
Is there enough evidence to show that there is a difference in
mean commute times for male and female working residents of
this town? Use a significance level of 0.01.
(a) The appropriate alternate hypothesis is HA: .
(b) The appropriate TI-83 program to use for this analysis
is
(c) df (rounded to nearest whole number) =
(d) p-value (rounded to three decimal places) =

(e) The p-value is the probability that the difference
between x1 - x2 and is explained by if H0 is
(f) Do you have strong enough evidence to reject H0?
YesNo
The paper investigated the driving behavior of teenagers by
observing their vehicles as they left a high school parking lot
and then again at a site approximately mile from the school.
Assume that it is reasonable to regard the teen drivers in this
study as representative of the population of teen drivers.
Assume the respective populations are normal.
Amount by Which Speed Limit Was Exceeded
Male
Driver
Female
Driver
1.4
-0.1
1.2
0.4
0.9
1.1
2.1
0.7
0.7
1.1
1.3
1.2
3
0.1
1.3
0.9
0.6

0.5
2.1
0.5
The measurements represent the difference between the
observed vehicle speed and the posted speed limit (in miles per
hour) for a sample of male teenage drivers and a sample of
female teenage drivers. Use a significance level of 0.01 to test
the hypothesis that males exceed the speed limit by more miles
per hour than females.
(a) The correct alternative hypothesis is: HA :
(b) df
=
(Enter as an integer.)
(c) P
=
(Round the answer to three decimal places.)
(d) Do these data provide convincing support for the claim that,
on average, male teenage drivers exceed the speed limit by more
than do female teenage drivers?
YesNo
(e) Which of the following statements are true about the p-
value.
1. The p-value is a probability
2. The p-value is calculated using a normal sampling
distribution
3. P-value is the probability that our statistical evidence, the
sample mean difference is explained by sampling variation or
"chance"
false
5. The p-value is a probability statement about the the sample

mean of the difference set of two dependent samples
6. The p-value is the probability that the null hypothesis is true
and the sample evidence is due to sampling variation
7. The p-value is a probability about the the difference between
two sample means
In a study of the effect of college student employment on
academic performance, the following summary statistics for
GPA were reported for a sample of students who worked and for
a sample of students who did not work. The samples were
selected at random from working and nonworking students at a
university. Does this information support the hypothesis that for
students at this university, those who are not employed have a
higher mean GPA than those who are employed? Use a
significance level of 0.01.
Sample
Size
Mean
GPA
Standard
Deviation
Students Who
Are Employed
170
3.12
.485
Students Who
Are Not Employed
116
3.23
.524
(a) The correct alternate hypothesis is: HA:
(b) df

=
(Round to Integer)
(c) P
=
(d) Is there enough evidence to reject the null hypothesis?
YesNo
Many people take ginkgo supplements advertised to improve
memory. Are these over-the-counter supplements effective? In a
study devoted to this problem, elderly adults were assigned at
random to either a treatment group or a control group.
The 102participants who were assigned to the treatment group
took 40 mg of ginkgo three times a day for six weeks.
The 117 participants assigned to the control group took a
placebo pill three times a day for six weeks. At the end of six
weeks, the Wechsler Memory Scale (a test of short-term
memory) was administered. Higher scores indicate better
memory function. Summary values are given in the table below.
n
x
s
Gingko
102
6.1
.6
Placebo
117
6
.6
Is there evidence that taking 40 mg of ginkgo three times a day
is effective in increasing mean performance on the Wechsler
Memory Scale? Test the relevant hypotheses using α = 0.01.

(a) The correct alternate hypothesis is: HA:
(b) df
=
(Round to Integer)
(c) P
=
(d) Is there enough evidence to reject the null hypothesis?
YesNo
Techniques for processing poultry were examined in an article.
Whole chickens were chilled 0, 2, 8, or 24 hours before being
cooked and canned. To determine whether the chilling time
affected the texture of the canned chicken, samples were
evaluated by trained tasters. One characteristic of interest was
hardness. The summary quantities were obtained. Each mean is
based on 36 ratings.
Chilling Time
0 hr
2 hr
8 hr
24 hr
Mean Hardness
7.52
6.56
5.69
5.65
Standard Deviation
.96
1.72
1.31

1.50
(a) Do the data prove that there is a difference in mean hardness
for chicken chilled 0 hours before cooking and chicken chilled 2
hours before cooking? Do a hypothesis test. Use α = .05.
yesno
(b) Do the data prove that there is a difference in mean hardness
for chicken chilled 8 hours before cooking and chicken chilled
24 hours before cooking? Do a hypothesis test. Use α = .05.
yesno
(c) Use a 90% confidence interval to estimate the difference in
mean hardness for chicken chilled 2 hours before cooking and
chicken chilled 8 hours before cooking. (Round the answers to
three decimal places.)
( , )
In a certain research study, 11 male meadow voles who had a
single gene introduced into a specific part of the brain were
compared to 20 male meadow voles who did not undergo this
genetic manipulation. All of the voles were paired with a
receptive female partner for 24 hours. At the end of the 24 hour
period, the male was placed in a situation where he could
choose either the partner from the previous 24 hours or a
different female. The percentage of the time during a three-hour
trial that the male spent with his previous partner was recorded.
The accompanying data are the approximate values read from a
graph that appeared in the corresponding article.
Do these data support the researchers' hypothesis that the mean
percentage of the time spent with the previous partner is greater
for genetically altered voles than for voles that did not have the
gene introduced? Test the relevant hypotheses using α = 0.01.

Percent of Time Spent with
Previous Partner
Genetically
Altered
59, 61, 62, 70, 80, 81, 85, 88,
89, 90, 93
Not Genetically
Altered
6, 15, 17, 21, 22, 24, 38, 43, 53,
61, 64, 71, 75, 78, 82, 85, 87,
94, 98, 100
(a) The correct alternate hypothesis is: HA :
(b) df
=
(Round to Integer)
(c) P-Value
=
(d) Do you have enough evidence to reject the null hypothesis?
YesNo

Derek Naegle
ENG 2010
Toulmin Schema
Claim-
The DREAM act should be passed into federal law to allow
millions of young immigrants
from all around the world enjoy the blessings of liberty and
equality in the country they’ve
grown up in.
Reasons-
1. Because it will reward deserving young immigrants with the
opportunity to receive an
education and contribute their talents to the United States and
its people.
2. Will allow thousands of immigrants to earn their citizenship
by serving in the military for
2 years.
3. Educates more of the US population with the result of
lowering crime rates in the US.
4. Will reward youth of “Good Moral Character” to not be
punished for a law they didn’t
choose to commit.

Assumptions-
Assumes immigration is a problem needing a solution.
Assumes DREAMers can be a benefit to society
Assumes that America as a whole will benefit from more
capable and diverse workforce
Assumes that young people with various ethnic backgrounds and
nationalities will
benefit from the DREAM Act
Assumes crimes committed by unauthorized immigrants we be
reduced.
Assumes people believe in the American dream.
Assumes audience is unfamiliar with the DREAM Act
Assumes people know an illegal immigrant.
Backing-
“Most Americans support the DREAM Act and think
legalization is a much more realistic

solution than mass deportation, especially for young people who
have grown up in the
United States,” said Rep. Luis Gutierrez, Illinois Democrat and
chairman of the
immigration task force for the Congressional Hispanic Caucus.
“The President's policy
allows our enforcement agents to concentrate on deporting
criminals and others we
really don't want in our country," he noted. "These are young
people brought up in the
U.S. who have achieved scholastically and remained crime-
free.” There are an
estimated 12 million illegal immigrants here in the United
States. Almost 400,000
people were deported in 2011, a record. To deport that many
people requires a lot of
time, resources, and money and it is unrealistic that we can
drastically reduce that
number. Most undocumented immigrants are here to stay and
take low-paying jobs the
average American doesn’t want.
Llorente, Elizabeth. "Mitt Romney’s Unofficial Advisor
Confident About Immigration
Lawsuit."http://latino.foxnews.com/. Fox News Network, LLC,

11 Oct 2012. Web. 13 Oct 2012.
<http://latino.foxnews.com/latino/politics/2012/10/11/mississip
pi-joins-lawsuit-against-
obama-program-for-dreamers/>.
Greenblatt, Alan. "Immigration Debate: Can politicians find a
way to curb illegal immigration?."
CQ Researcher Online (2010): n.pag. CQ Press. Web. 3 Oct
2012.
<http://library.cqpress.com/cqresearcher/document.php?id=cqre
srre2008020100&type=hitlist
>.
Vargas, Jose Antonio. "Not Legal Not Leaving." Time
Magazine. 25 2012: 1-9. Web. 15 Oct.
2012.
<http://www.time.com/time/magazine/article/0,9171,2117243,00
.html>.
A major provision of the DREAM Act is to only allow
undocumented immigrants with
“Good Moral Character” the chance to benefit. The INS defines
“Good Moral Character”
with a checklist of things that would prevent someone from
being categorized as having
good moral character and, therefore, ineligible to become a

naturalized citizen. This
means people convicted of major crimes (murder, rape, drug
trafficking, theft or
burglary, prostitution etc.) would be ineligible from applying
for and benefitting from
the DREAM Act. People with minor convictions within 5 years
prior to applying are also
barred from applying. Some of these minor convictions include:
earning principal
income from gambling, smuggling illegal immigrants into the
country, and being a
habitual drunkard. In other words, criminals will not benefit
with the passage of the
DREAM Act. This is also an incentive to younger people who
have the chance to earn
citizenship to stay out of trouble. The DREAM Act will give
millions something to strive
for. It gives them hope to live the American dream. It’s an
incentive to try hard and
obey the law in order to have productive, successful lives.
"What Is Good Moral Character." www.findlaw.com. FindLaw,
a Thomson Reuters business, 15
2012. Web. 3 Oct 2012.
<http://fsnews.findlaw.com/firmsite/attachments/LE6_c_checkli
st_WhatIsGoodMoralCharacte
r.pdf>.
require states to offer in-
state tuition:

Arizona Senate Candidates Richard Carmona (D) and Jeff Flake
(R) both support the
passage of the DREAM Act. Flake, like many Republicans, is
opposed to a mandate
permitting undocumented students to pay in-state tuition rates at
publicly funded
institutions. The current version of the DREAM Act doesn’t
have such a mandate. This
will not become a drain on public education with the flood of
new students into public
universities. This means, there won’t be an increase in the price
of tuition to pay for the
cost of offering in-state tuition to thousands of new students nor
will it make the
government spend more money through subsidies. DREAM Act
students could be
eligible for student loans, but would be ineliglbe for Pell Grants
meaning they’ll have to
earn their way through college whether by saving up, working,
or through scholarships.
Nevarez, Griselda. "Richard Carmona is building momentum in
U.S. Senate
race."www.voxxi.com. VOXXI News, 13 Oct 2012. Web. 13 Oct
2012.
<http://www.voxxi.com/richard-carmona-momentum-senate-
race/>.

e passage of The
DREAM Act:
A recent study by Maryland Institute for Policy Analysis &
Research at the University of
Maryland found that the benefits of the DREAM Act in the form
of income, sales, and
property taxes would outweigh the costs of its passage at the
state level. The Maryland
bill has a provision to subsidize education and even with these
subsides; the benefits are
expected to outweigh the costs. The study also took into
account the money saved on
incarceration costs. There is expected to be less people in state-
funded penitentiaries
when you have a more educated population. DREAMers will
not be a drain on the
government’s pocketbook either. Beneficiaries of the DREAM
act will actually make the
government money through tuition costs and fees at publically
funded universities.
They will also be valuable employees who, through taxes, will
be able to contribute to
the government. The Congressional Budget Office in 2010
estimated that passage of
the DREAM Act would cut the deficit by $1.4 billion and
increase government revenues
by $2.3 billion over a 10-year period. Arne Duncan, the U.S.
Secretary of Education,
testified to congress in 2011 that by 2018 the United States will

have 2.6 job openings
for jobs requiring higher education. These jobs are in the fields
of science, technology,
and engineering, and mathematics.
Leaderman, Daniel. "New study suggests major fiscal benefits
of Act." Southern Maryland
Newspapers Online-SoMdNews.com. Southern Maryland
Newspapers, 12 Oct 2012. Web. 13
Oct 2012.
<http://www.somdnews.com/article/20121012/NEWS/71012966
1/1055/new-study-
suggests-major-fiscal-benefits-of-dream-
act&template=southernMaryland>.
Duncan, Arne. United States. U.S. Department of Education.
DREAM Act Testimony.
Washington, D.C.: , 2011. Web.
<http://www.ed.gov/news/speeches/dream-act-testimony>.
Miranda, Luis. "Get The Facts On The DREAM Act." The White
House Blog.
www.whitehouse.gove, 01 2010. Web. Web. 15 Oct. 2012.
<http://www.whitehouse.gov/blog/2010/12/01/get-facts-dream-
act>.
DREAMers
The DREAM Act requires all applicants to either complete 2
years of college or serve 2

years in the military. This will increase the number of enlisted
servicemen and provide
skills and training that is beneficial to our communities. The
DREAM Act will help the
Department of Defense achieve its recruiting goals and is part
of its Strategic Plan for
2011-2012. By allowing them to get an education we’re
making an investment in our
country. These talented individuals can contribute their skills,
creativity, and knowledge
to our society. The sky is the limit for these young people.
(Jose Antonio Vargas, an
undocumented immigrant from the Philippines is a Pulitzer
prize winning journalist.) By
giving young immigrants the opportunity to live up to receive
an education, we are
allowing thousands to be able to find good jobs that will allow
them to provide for
themselves. The government will not just be adding more
people into its welfare
program. One of the requirements of the DREAM Act involves
what is called “Public

Charge”. This means that anyone who becomes dependent on
government aid over a
period of time can become ineligible since the DREAM Act acts
as a probationary period
of 6 years following application. If someone has a dishonorable
discharge from the
military this also voids the DREAMer’s chance at becoming a
documented citizen.
United States. U.S. Citizenship and Immigration Services.
Washington, D.C.: Government
Printing Office, 2009. Web.
<http://www.uscis.gov/portal/site/uscis/menuitem.eb1d4c2a3e5b
9ac89243c6a7543f6d1a/?vg
nextoid=829b0a5659083210VgnVCM100000082ca60aRCRD&v
gnextchannel=829b0a56590832
10VgnVCM100000082ca60aRCRD>.
"dreamact.info." The DREAM Act Portal. The DREAM Act
Portal, 09 2009. Web. 10 Oct 2012.
<http://dreamact.info/faq/1>.
Miranda, Luis. "Get The Facts On The DREAM Act." The White
House Blog.
www.whitehouse.gove, 01 2010. Web. Web. 15 Oct. 2012.
<http://www.whitehouse.gov/blog/2010/12/01/get-facts-dream-
act>.

and are just as American as
we are.
The stereotypical undocumented immigrant is often portrayed as
someone of Mexican
heritage living in a border state. The facts are, there are
undocumented immigrants in
every state who will benefit from the DREAM Act. Most come
from all over Latin
America and Asia will add to the diversity that we as a country
pride ourselves on. They
live here with us, they pay taxes like us, but they don’t have the
same privileges as us.
Greenblatt, Alan. "Immigration Debate: Can politicians find a
way to curb illegal immigration?."
CQ Researcher Online (2010): n.pag. CQ Press. Web. 3 Oct
2012.
<http://library.cqpress.com/cqresearcher/document.php?id=cqre
srre2008020100&type=hitlist
>.
Vargas, Jose Antonio. "My Life as an Undocumented
Immigrant." New York Times [New York,
New York] 22 June 2011, Magazine n. pag. Web. 15 Oct. 2012.
<http://www.nytimes.com/2011/06/26/magazine/my-life-as-an-
undocumented-
immigrant.html?_r=1&pagewanted=all>.

Vargas, Jose Antonio. "Not Legal Not Leaving." Time
Magazine. 25 2012: 1-9. Web. 15 Oct.
2012.
<http://www.time.com/time/magazine/article/0,9171,2117243,00
.html>.
Conditions of Rebuttal-
DREAM Act
students.
ier for family
members who did come here
illegally to get residency and citizenship.
United States.
keeping people out of our country
rather than thinking of ways to accommodate them.
same way everyone else does
and not be given a grace period or fast-track to gaining
residency or citizenship.

Qualifier-
itizenship is a long journey; the DREAM Act
allows the best and brightest
undocumented immigrants the chance to contribute to society.
is a good thing. Making an
associate’s degree a more normal occurrence makes our society
as a whole more
educated and there are benefits that come from that.
and 30 to benefit. People
entering the country after passage of the DREAM Act will not
have the same promise
that is being offered to those in that age group.
begin with. The DREAM Act will
not lessen the requirements to become a naturalized citizen.
ing our borders is important, not only because of
the entry of
undocumented workers here for honest work, it also is important
to solve the problem

of what to do with all undocumented immigrants who are
already here. The
government can focus their attention on those who could cause
us harm or who are
breaking more severe laws rather than on individuals with good
character.

JKN 10 Inference 2 Populations.Consider the following set of d.docx

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