A University of Florida study on drinking habits asks a random sampl.pdf
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A University of Florida study on drinking habits asks a random sample of students if they drink any alcohol when they party. We want to extend the results to all students at the university. In this problem, we want to make inferences about: A. one mean B. comparing means from dependent samples C. comparing means from 2 independent samples D. one proportion E. comparing proportions from 2 independent samples F. comparing proportions from dependent samples Solution Answer:D. one proportion.
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A vertical line is drawn through a normal distribution dividing the .pdf
A vertical line is drawn through a normal distribution dividing the distribution into two parts. If
the smaller part equals 0.1915 of the distribution, then the line was drawn at z = 0.50 or at z = -
0.50.
True or False?
Solution
yes this conclusion is TRUE.
A Variable of a population has a mean of 74 and a standard deviation.pdf
A Variable of a population has a mean of 74 and a standard deviation of 7 and a sample size of
49. WHAT IS THE SHAPE OF THE SAMPLING DISTRIBUTION????????
Solution
The standard deviation of a random variable, statistical population, data set, drawn
from some larger, \"parent\" population, then we should have divided by 7 (which is n
observations, while the denominator N stands for the size of the sample..
A variable of a population has a mean of =150 and a standard deviati.pdf
A variable of a population has a mean of =150 and a standard deviation of =35.
a. The sampling distribution of the sample mean for samples of size 49 is approximately
normally distributed with mean=? and standard deviation=? .
Solution
mean=150
standard deviation=s/n
=35/7
= 5.
A valid mulitple regression analysis assumes or requires that1) th.pdf
A valid mulitple regression analysis assumes or requires that
1) the dependent variable is measured using an ordinal, interval, or ratio scale
2) the results follow an F-distribution
3) the independent variables and the dependent variable have a linear relationship
4) the observations are autocorrelated
Solution
the independent variables and the dependent variable have a linear relationship.
A universitys leadership council is made up of members are studen.pdf
A university\'s leadership council is made up of members: are students, are teachers, and are
deans. A newspaper reporter is planning to select two of the council members for interviews. The
first member will be chosen at random, and then the second member will be chosen at random
from the remaining members. What is the probability that two deans will be selected?
Solution
p= 4/10 x 3/9 = 2/15.
A universitys leadership council is made up of 13 members 5 are s.pdf
A university\'s leadership council is made up of 13 members: 5 are students, 5 are teachers, and 3
are deans. A newspaper reporter is planning to select two of the council members for interviews.
The first member will be chosen at random, and then the second member will be chosen at
random from the remaining members. What is the probability that two students will be selected?
Solution
For the first pick there are 5 students-the probability is 5/13. For the second, if the first were a
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A Universities leadership council is made up of 13 members 5 are st.pdf
A Universities leadership council is made up of 13 members: 5 are students, 3 are teachers, and 5
are deans. A newspaper reporter is planning to select two of the council members for interviews.
The first member will be chosen at random, and then the vsecond member will be chosen at
random from the ramaining members. What is the probability that two students will be selected.
Report your answer as an exact fraction.
Thanks
Solution
p= 4/10 x 3/9 = 2/15.
a universities leadership council is made up of 10 members 4 are st.pdf
a universities leadership council is made up of 10 members: 4 are students, 3 are teachers, and 3
are deans A newspaper reporter is planning to select two of the council members for interviews
the first member will be chosen at random, and then the second member will be chosen at
random from the remaining members What is the probiba;ity that two students will be selected
Report your answer as an exact fraction
Solution
p= 4/10 x 3/9 = 2/15.
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A vertical line is drawn through a normal distribution dividing the distribution into two parts. If
the smaller part equals 0.1915 of the distribution, then the line was drawn at z = 0.50 or at z = -
0.50.
True or False?
Solution
yes this conclusion is TRUE.
A Variable of a population has a mean of 74 and a standard deviation.pdf
A Variable of a population has a mean of 74 and a standard deviation of 7 and a sample size of
49. WHAT IS THE SHAPE OF THE SAMPLING DISTRIBUTION????????
Solution
The standard deviation of a random variable, statistical population, data set, drawn
from some larger, \"parent\" population, then we should have divided by 7 (which is n
observations, while the denominator N stands for the size of the sample..
A variable of a population has a mean of =150 and a standard deviati.pdf
A variable of a population has a mean of =150 and a standard deviation of =35.
a. The sampling distribution of the sample mean for samples of size 49 is approximately
normally distributed with mean=? and standard deviation=? .
Solution
mean=150
standard deviation=s/n
=35/7
= 5.
A valid mulitple regression analysis assumes or requires that1) th.pdf
A valid mulitple regression analysis assumes or requires that
1) the dependent variable is measured using an ordinal, interval, or ratio scale
2) the results follow an F-distribution
3) the independent variables and the dependent variable have a linear relationship
4) the observations are autocorrelated
Solution
the independent variables and the dependent variable have a linear relationship.
A universitys leadership council is made up of members are studen.pdf
A university\'s leadership council is made up of members: are students, are teachers, and are
deans. A newspaper reporter is planning to select two of the council members for interviews. The
first member will be chosen at random, and then the second member will be chosen at random
from the remaining members. What is the probability that two deans will be selected?
Solution
p= 4/10 x 3/9 = 2/15.
A universitys leadership council is made up of 13 members 5 are s.pdf
A university\'s leadership council is made up of 13 members: 5 are students, 5 are teachers, and 3
are deans. A newspaper reporter is planning to select two of the council members for interviews.
The first member will be chosen at random, and then the second member will be chosen at
random from the remaining members. What is the probability that two students will be selected?
Solution
For the first pick there are 5 students-the probability is 5/13. For the second, if the first were a
student, the probability would be 4/12. So your answer is
(5/13)x(4/12) so, 5/39.
A Universities leadership council is made up of 13 members 5 are st.pdf
A Universities leadership council is made up of 13 members: 5 are students, 3 are teachers, and 5
are deans. A newspaper reporter is planning to select two of the council members for interviews.
The first member will be chosen at random, and then the vsecond member will be chosen at
random from the ramaining members. What is the probability that two students will be selected.
Report your answer as an exact fraction.
Thanks
Solution
p= 4/10 x 3/9 = 2/15.
a universities leadership council is made up of 10 members 4 are st.pdf
a universities leadership council is made up of 10 members: 4 are students, 3 are teachers, and 3
are deans A newspaper reporter is planning to select two of the council members for interviews
the first member will be chosen at random, and then the second member will be chosen at
random from the remaining members What is the probiba;ity that two students will be selected
Report your answer as an exact fraction
Solution
p= 4/10 x 3/9 = 2/15.
a u.s. travel data centers survey of 1500 adults found that 42 of.pdf
a u.s. travel data center\'s survey of 1500 adults found that 42% of respondents stated that they
favor historical sites as vacations. find the 95% confidence interval of the true proportion of all
adults who favor visiting historical sites as vacations
Solution
1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p <
0.42+0.0250.
A Type I error is defined as the following. 1- rejecting a false n.pdf
A Type I error is defined as the following.
1- rejecting a false null hypothesis
2- rejecting a true null hypothesis
3- failing to reject a false null hypothesis
4- failing to reject a true null hypothesis
Solution
Defintion of Type-I error: A type I error, also known as an error of the first kind,
occurs when the null hypothesis (H0) is true, but is rejected. hence the answer will be 2)
rejecting a true null hypothesis..
A Type I error is the result of a-improper measurement techniques.pdf
A Type I error is the result of:
a-improper measurement techniques on the part of the researcher
b- failing to reject the null hypothesis when, in fact, it is true
c-incorrectly rejecting the null hypothesis
d-incorrectly accepting the null hypothesis
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Solution
c-incorrectly rejecting the null hypothesis.
A twenty-five-year-old, single American manager has just accepted a .pdf
A twenty-five-year-old, single American manager has just accepted a transfer to a job in China.
She is excited about going to China, as she has never been there before. After all, she loves
Chinese food! You have been asked to prepare her for the cultural aspects of this new job
assignment. FIRST, research China in terms of culture and business practices. Consider the
adjustment that this young manager will have to make and assume that she will be supervising
local employees and doing business with Chinese companies. THEN, create a training plan for
this employee. What training should she receive before she leaves, and what should she learn
after her arrival in China? Incorporate your assessment of the key success factors for this
individual (i.e., the things she needs to know to ensure that she can perform well in this
unfamiliar environment). Be sure to identify specific training methodologies and content for this
training plan. Also, discuss at least three potential problems that she might have in her transition
and how you would address them.
Solution
Cultural differences between both the countries are listed below:
Americans prefer the individualist culture as they value self-reliance. Contrary to this Chinese
prefer group cooperation.
Americans utilize informal and egalitarian approach in their social relationships. While Chinese
believe in strict hierarchical and formal model.
In the US people avoid interpersonal relationships and long-term obligations. Contrary to this,
Chinese prefer relationships with reciprocal obligation.
Americans sincerely follows the written rules and regulations; while Chinese largely focus on
personal relationships rather than written policies.
Difference in Cognitive process or thinking patterns of both the countries is elaborated below:
China’s initiative thinking pattern and problem solving techniques specify that various paths
could reach the same targets and in reality no path is dissimilar from others since all paths comes
under mutually defining flattering association. This approach reflects the subjective and
accommodative cultural style of interaction in China.
The rational thinking model of the US is comprised of linearity, objectivity, justification and
manipulation in the process of interaction. In the US, the instinctive approach to thinking with
delicate and indirect expression style is dictated by axiological agreement.
Due to huge cultural gap, the American manger should receive the following training before she
leaves for China:
Cross cultural training that focus on the culture and values of Chinese culture
Diversity training regarding specific compliance, anti-discrimination and legal norms and
policies.
Training providing a detailed description regarding the factors that motivate and demotivate the
Chinese workers.
Behavioral training regarding the nature and behavior of Chinese employees.
The manger would face the following problems while going through the transition phase:
Behavioral tran.
A travel data centers survey of 1500 adults found that 42 stated .pdf
A travel data center\'s survey of 1500 adults found that 42% stated that they favor historical sites
as vacations. Find the 95% confidence interval of the true proportion of all adults that favor
visiting historical sites
Solution
1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p <
0.42+0.0250.
A tourist visiting New York City had his wallet stolen in an eleva.pdf
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn\'t take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn\'t take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
Solution
Judy stole the wallet. notice,just find the lies.. start with theo, his only lie could be
saying margaret did it because he would be contradicting himself otherwise. so theo didnt do it,
and that leads us to lillian and david\'s lies now that tells us margarets lie, and makes one of her
truths that judy stole the wallet.. Lillian: (T)I didn\'t take the wallet. (T)I have never in my life
stolen anything. (F)Theo did it. Judy: (F)I didn\'t take the wallet. (T)My daddy is rich enough,
and I have a wallet of my own. (T)Margaret knows who did it. David: (T)I didn\'t take the
wallet. (T)I didn\'t know Margaret before I came into the elevator. (F)Theo did it. Theo: (T)I am
not guilty. (F)Margaret did it. (T)Lillian is lying when she says I stole the wallet. Margaret: (T)I
didn\'t take the wallet. (T)Judy is guilty. (F)David can vouch for me because he has known me
since I was born..
A tool used to determine the amount of time workers are spent on a t.pdf
A tool used to determine the amount of time workers are spent on a task is called a
flow process chart
movement diagram
work distribution chart
Pert Chart
flow process chart
movement diagram
work distribution chart
Pert Chart
Solution
Flow process chart: is the graphical way of presenting, analyzing and displaying the process and
movement of resources.
Movement diagram: represents the motion of an object by displaying its location and signifying
the spaces between them.
Work Distribution charts: it analyses and describes the major functions of a work unit.
PERT chart: represents the network diagram displaying the time estimates to complete a
particular activity of a project.
Thus, the tool used to determine the amount of time workers are spent on a task is called PERT
CHART..
A total of 42 tons of two types of ore is to be loaded into a smelte.pdf
A total of 42 tons of two types of ore is to be loaded into a smelter. The first type contains 6.0%
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nearest ton) to produce 2 tons of copper.
Solution
x and y tones be two types of ore is to be loaded into a smelter
x+y=42
0.06x+0.024y=2
x=27.55
y=14.44
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a total of 100 students are taking a history exam. each student is r.pdf
a total of 100 students are taking a history exam. each student is required to write an essay on
one of six possible topics. What is the fewest possible number of students who could have
chosen the topic selected by most students?
Solution
This is possible event
17,17,17,17,16,16
Fewest number is 17 whichi is most number of syudent.
A three-year bank CD paying 7.40 percent compounded quarterly. Calcu.pdf
A three-year bank CD paying 7.40 percent compounded quarterly. Calculate effective annual
interest rate (EAR)?
Solution
Interest =7.4 or 0.074 p.a
No of periods p.a =4
EAR=(1+0.0747/4)4-1
=0.076
=7.6%.
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A total of 10 people, consisting of 5 married couples, are randomley seated in a row for a photo.
Let Ci denote the event that the ith couple are seated next to each other, i=1....5, and X be the
total number of couples that are seated next to each other.
a) find P(Ci) (i know this is 2/10)
b) for j not eqaul to I, find the cond. probability that P(Cj/Ci)
c) Find the expeted value for E[x] and var(X) of X.
Thank you, DETAILED EXPLANATION!
Solution
a) P(Ci)
we can consider ith couple as one unit and other 8 persons as individuals.
Thus, no. of arrangements = 2 * 9!
Total no. of possible arrangements = 10!
Thus, P(Ci) = 2 * 9! / 10! = 2/10 = 1/5
b) P(Cj|Ci)
Now, we have Ci as a couple, Cj as a couple
No. of possible cases = 2 * 2 * 8! = 4 * 8!
Total possible cases = 2 * 9!
Thus, P(Cj|Ci) = 4 * 8! / 2 * 9! = 2/9.
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a u.s. travel data centers survey of 1500 adults found that 42 of.pdf
a u.s. travel data center\'s survey of 1500 adults found that 42% of respondents stated that they
favor historical sites as vacations. find the 95% confidence interval of the true proportion of all
adults who favor visiting historical sites as vacations
Solution
1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p <
0.42+0.0250.
A Type I error is defined as the following. 1- rejecting a false n.pdf
A Type I error is defined as the following.
1- rejecting a false null hypothesis
2- rejecting a true null hypothesis
3- failing to reject a false null hypothesis
4- failing to reject a true null hypothesis
Solution
Defintion of Type-I error: A type I error, also known as an error of the first kind,
occurs when the null hypothesis (H0) is true, but is rejected. hence the answer will be 2)
rejecting a true null hypothesis..
A Type I error is the result of a-improper measurement techniques.pdf
A Type I error is the result of:
a-improper measurement techniques on the part of the researcher
b- failing to reject the null hypothesis when, in fact, it is true
c-incorrectly rejecting the null hypothesis
d-incorrectly accepting the null hypothesis
Stuck on this one! Please help!
Solution
c-incorrectly rejecting the null hypothesis.
A twenty-five-year-old, single American manager has just accepted a .pdf
A twenty-five-year-old, single American manager has just accepted a transfer to a job in China.
She is excited about going to China, as she has never been there before. After all, she loves
Chinese food! You have been asked to prepare her for the cultural aspects of this new job
assignment. FIRST, research China in terms of culture and business practices. Consider the
adjustment that this young manager will have to make and assume that she will be supervising
local employees and doing business with Chinese companies. THEN, create a training plan for
this employee. What training should she receive before she leaves, and what should she learn
after her arrival in China? Incorporate your assessment of the key success factors for this
individual (i.e., the things she needs to know to ensure that she can perform well in this
unfamiliar environment). Be sure to identify specific training methodologies and content for this
training plan. Also, discuss at least three potential problems that she might have in her transition
and how you would address them.
Solution
Cultural differences between both the countries are listed below:
Americans prefer the individualist culture as they value self-reliance. Contrary to this Chinese
prefer group cooperation.
Americans utilize informal and egalitarian approach in their social relationships. While Chinese
believe in strict hierarchical and formal model.
In the US people avoid interpersonal relationships and long-term obligations. Contrary to this,
Chinese prefer relationships with reciprocal obligation.
Americans sincerely follows the written rules and regulations; while Chinese largely focus on
personal relationships rather than written policies.
Difference in Cognitive process or thinking patterns of both the countries is elaborated below:
China’s initiative thinking pattern and problem solving techniques specify that various paths
could reach the same targets and in reality no path is dissimilar from others since all paths comes
under mutually defining flattering association. This approach reflects the subjective and
accommodative cultural style of interaction in China.
The rational thinking model of the US is comprised of linearity, objectivity, justification and
manipulation in the process of interaction. In the US, the instinctive approach to thinking with
delicate and indirect expression style is dictated by axiological agreement.
Due to huge cultural gap, the American manger should receive the following training before she
leaves for China:
Cross cultural training that focus on the culture and values of Chinese culture
Diversity training regarding specific compliance, anti-discrimination and legal norms and
policies.
Training providing a detailed description regarding the factors that motivate and demotivate the
Chinese workers.
Behavioral training regarding the nature and behavior of Chinese employees.
The manger would face the following problems while going through the transition phase:
Behavioral tran.
A travel data centers survey of 1500 adults found that 42 stated .pdf
A travel data center\'s survey of 1500 adults found that 42% stated that they favor historical sites
as vacations. Find the 95% confidence interval of the true proportion of all adults that favor
visiting historical sites
Solution
1.96* v[0.42*0.58/v1500)] = 0.0250 Hence 95% CI will be 0.42-0.0250 < p <
0.42+0.0250.
A tourist visiting New York City had his wallet stolen in an eleva.pdf
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn\'t take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
A tourist visiting New York City had his wallet stolen in an elevator. The thief had to be Lillian,
Judy, David, Theo or Margaret. When questioned by the police, each suspect made three
statements:
Lillian:
I didn\'t take the wallet.
I have never in my life stolen anything.
Theo did it.
Judy:
I didn\'t take the wallet.
My daddy is rich enough, and I have a wallet of my own.
Margaret knows who did it.
David:
I didn\'t take the wallet.
I didn\'t know Margaret before I came into the elevator.
Theo did it.
Theo:
I am not guilty.
Margaret did it.
Lillian is lying when she says I stole the wallet.
Margaret:
I didn\'t take the wallet.
Judy is guilty.
David can vouch for me because he has known me since I was born.
Later, each person admitted that two of his/her statements were true and one was false.
Assuming this is true, who stole the wallet?
(Adapted from Scripta Mathematica.)
Solution
Judy stole the wallet. notice,just find the lies.. start with theo, his only lie could be
saying margaret did it because he would be contradicting himself otherwise. so theo didnt do it,
and that leads us to lillian and david\'s lies now that tells us margarets lie, and makes one of her
truths that judy stole the wallet.. Lillian: (T)I didn\'t take the wallet. (T)I have never in my life
stolen anything. (F)Theo did it. Judy: (F)I didn\'t take the wallet. (T)My daddy is rich enough,
and I have a wallet of my own. (T)Margaret knows who did it. David: (T)I didn\'t take the
wallet. (T)I didn\'t know Margaret before I came into the elevator. (F)Theo did it. Theo: (T)I am
not guilty. (F)Margaret did it. (T)Lillian is lying when she says I stole the wallet. Margaret: (T)I
didn\'t take the wallet. (T)Judy is guilty. (F)David can vouch for me because he has known me
since I was born..
A tool used to determine the amount of time workers are spent on a t.pdf
A tool used to determine the amount of time workers are spent on a task is called a
flow process chart
movement diagram
work distribution chart
Pert Chart
flow process chart
movement diagram
work distribution chart
Pert Chart
Solution
Flow process chart: is the graphical way of presenting, analyzing and displaying the process and
movement of resources.
Movement diagram: represents the motion of an object by displaying its location and signifying
the spaces between them.
Work Distribution charts: it analyses and describes the major functions of a work unit.
PERT chart: represents the network diagram displaying the time estimates to complete a
particular activity of a project.
Thus, the tool used to determine the amount of time workers are spent on a task is called PERT
CHART..
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A total of 42 tons of two types of ore is to be loaded into a smelter. The first type contains 6.0%
copper, and the second contains 2.4% copper. Find the necessary amounts of each ore (to the
nearest ton) to produce 2 tons of copper.
Solution
x and y tones be two types of ore is to be loaded into a smelter
x+y=42
0.06x+0.024y=2
x=27.55
y=14.44
so 1st ore should be 28 tone and second ore should be 14 tone.
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one of six possible topics. What is the fewest possible number of students who could have
chosen the topic selected by most students?
Solution
This is possible event
17,17,17,17,16,16
Fewest number is 17 whichi is most number of syudent.
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interest rate (EAR)?
Solution
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No of periods p.a =4
EAR=(1+0.0747/4)4-1
=0.076
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A total of 10 people, consisting of 5 married couples, are randomley seated in a row for a photo.
Let Ci denote the event that the ith couple are seated next to each other, i=1....5, and X be the
total number of couples that are seated next to each other.
a) find P(Ci) (i know this is 2/10)
b) for j not eqaul to I, find the cond. probability that P(Cj/Ci)
c) Find the expeted value for E[x] and var(X) of X.
Thank you, DETAILED EXPLANATION!
Solution
a) P(Ci)
we can consider ith couple as one unit and other 8 persons as individuals.
Thus, no. of arrangements = 2 * 9!
Total no. of possible arrangements = 10!
Thus, P(Ci) = 2 * 9! / 10! = 2/10 = 1/5
b) P(Cj|Ci)
Now, we have Ci as a couple, Cj as a couple
No. of possible cases = 2 * 2 * 8! = 4 * 8!
Total possible cases = 2 * 9!
Thus, P(Cj|Ci) = 4 * 8! / 2 * 9! = 2/9.
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