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MATH 211
Learning Activity – The -δ Definition of the Limit
Name:
4
3 − x = −5.
x→10
5
1. Prove that lim
Fall 2017
MATH 211
Learning Activity – The -δ Definition of the Limit
2. Prove that lim x2 + 2x − 7 = 1.
x→2
Fall 2017
MATH 211
3. Prove that
Learning Activity – The -δ Definition of the Limit
5
= −∞.
x→−1− (x + 1)3
lim
Fall 2017
MATH 211
Learning Activity – Continuity
Fall 2017
Name:
1. Determine if the following function is continuous at a = 4. (If it is discontinuous state which
condition for continuity has not been met.)
f (x) =
2. Consider the function h(t) =
x2
5x − 2
− 9x + 20
t2 + 3t − 10
. Redefine h(t) as a piecewise function that is continuous.
t−2
MATH 211
Learning Activity – Continuity
Fall 2017
1
3. Consider the functions f (x) = x2 − 1 and g(x) = . Determine whether or not each of the following
x
composite functions are continuous at 0. (Explain your answers.)
(a) f ◦ g
(b) g ◦ f
(c) f ◦ f
(d) g ◦ g
2
x +x
4. Let g(x) =
a
4 − x2
if
if
if
x1
(a) Determine the value of a for which g is continuous from the left at 1.
(b) Determine the value of a for which g is continuous from the right at 1.
(c) Is there a value of a for which g is continuous at 1? Justify your answer.
MATH 211
Learning Activity – Continuity
Fall 2017
5. Where is the following function continuous? (Hint: There should be 3 points of discontinuity.)
y = csc(2x)
on the interval [0, π]
MATH 211
Learning Activity – Introducing the Derivative
Name:
1. Let f (x) = 3x2 + 2x − 10.
(a) Find f 0 (1).
(b) Find the equation of the line tangent to f (x) at x = 1.
2. Let f (x) =
1
. Find the slope of the line tangent to f (x) at the point (−1, −1).
x
Fall 2017
MATH 211
Learning Activity – Introducing the Derivative
Fall 2017
3. If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height (in meters) after
t seconds is given by the function s(t) = 10t − 1.8t2 . Answer the following:
(a) Find the velocity of the rock after one second.
(b) Find the velocity of the rock when t = a.
(c) When will the rock hit the surface?
(d) With what velocity will the rock hit the surface?
MATH 211
Learning Activity – The Derivative as a Function
Name:
1. Find f 0 (x) if f (x) = x3 − x.
Fall 2017
MATH 211
Learning Activity – The Derivative as a Function
Fall 2017
2. The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with
the graph of its derivative in I-IV.
(a)
(c)
(b)
(d)
MATH 211
Learning Activity – The Derivative as a Function
3. For the function graphed below:
(a) At what points does the derivative not exist and why?
(b) Identify the points at which the function is continuous but not differentiable.
(c) Identify the intervals over which the function is differentiable.
Fall 2017
MATH 211
Learning Activity – Derivative Rules
Fall 2017
Name:
1. Find the derivatives of the functions. (Simplify by combining like terms and leaving no negative
exponents.)
(a) f (t) = t100
(b) f (x) =
1
x4
(c) g(u) = u2/3
(d) y = 3x5 + 4x3 − 12x + 33
2. Find f 0 (x), f 00 (x) and f (3) (x) for f (x) = 18 x4 − −3x2 + 1.
MATH 211
Learning Activity – Derivative Rules
3. Let f (x) = x2 − 6x + 5
(a) Find the values of x for which the slope of the curve y = f (x) is 0.
(b) Find the values of x for which the slope of the curve y = f (x) is 2.
4. Assume g 0 (4) = 1. Evaluate
d
[2x − 3g(x)]
dx
x=4
Fall 2017
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Explanation & Answer
Hello, am still working, I will be uploading a final copy sooner
1_7: Defination of limit
1.
4
5
lim (3 − 𝑥) = −5
𝑥→10
Solution
Replace the value of x with 10
4
(3 − (10)) = −5
5
2. Prove that lim (𝑥 2 + 2𝑥 − 7) = 1
𝑥→2
Solution
Replace x with 2
22 + 2(2) ...
Completion Status:
100%
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Answers Week6 Questions
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Abcott Institute Module 8 Treating Depression Lab Part
Module 8 -
Treating Depression Lab Part 1 (discussion 1) - mod 8 group 1
From 2020SU-MATH-160-1774
11 unread reply. ...
Abcott Institute Module 8 Treating Depression Lab Part
Module 8 -
Treating Depression Lab Part 1 (discussion 1) - mod 8 group 1
From 2020SU-MATH-160-1774
11 unread reply.55 replies.
Learn by Doing
In this activity, you will investigate the first question
related to the study described below.
Some features of this activity may not work well on a cell phone
or tablet. We highly recommend that you complete this activity on a computer.
Here are the directions and grading rubric for
the Learn by Doing discussion board exercises.
A list of StatCrunch directions is
provided at the bottom of this page.
Context
Clinical depression is a recurrent illness
requiring treatment and often hospitalization. Nearly 50% of people who have an
episode of major depression will have a recurrence within 2-3 years. Being able
to prevent the recurrence of depression in people who are at risk for the
disease would go a long way to alleviate the pain and suffering of patients.
During the 1980's the federal government, through the National Institutes of
Health (NIH), sponsored a large clinical trial to evaluate two drugs for
depression. There were 3 treatment groups. Patients received either Imipramine
(Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients
to one of the 3 treatment groups and followed them for 2-4 years to track any
recurrences of depression.
(Prien et al., Archives of General Psychiatry, 1984).
Variables
·
Hospt: Which hospital the patient was from: Labeled
1, 2, 3, 5 or 6
·
Treat: 0=Lithium; 1=Imipramine; 2=Placebo
·
Outcome: 0=Success 1=Failure (recurrence of
depression)
·
Time: Number of weeks until a recurrence (if
outcome=1) or until study ended (if outcome=0)
·
AcuteT: How long the patient was depressed before
the start of the current study, measured in days
·
Age: Age in years
·
Gender: 1=Female 2=Male
Data
If you have not done so already, download
the depression datafile (as always, if a login box
opens, just close it and then download the file). Then upload the file in
StatCrunch.
Prompt
We will analyze the data to answer the 1st
research question: Which of the drugs (if either) was more successful
in preventing the recurrence of depression relative to the placebo?
In the previous lab-preparation activity, we determined that we
will analyze the data using a two-way table and conditional percentages.
1. Use StatCrunch to produce a two-way
contingency table. (directions)
Copy the table in your StatCrunch output window and paste it in your initial
discussion post. (directions)
After you paste the content of the your StatCrunch output window into your
discussion post, keep the table titled Contingency table results: and
delete the Chi-Square results: table.
2. Analyze the data in your two-way table by
finding appropriate conditional percentages. Write each
conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g.
25/40 = 62.5%). Then write a sentence that explains the meaning of the
percentage in the context of the research question.
3. Draw a conclusion. Based on this study, which
drug was the most effective in preventing the recurrence of depression? Support
your conclusion using conditional percentages.
MA215 Grantham Week 2 Probability and Standard Deviation Paper
Project Week 2 For these project assignments throughout the course you will need to reference the data in the ROI Excel sp ...
MA215 Grantham Week 2 Probability and Standard Deviation Paper
Project Week 2 For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Using the ROI data set: For each of the 2 majors calculate the mean, median,
minimum, maximum, range, and standard deviation for the columns ‘Cost’
and ’30-Year ROI’. By hand or with Excel, for each of the 2 majors calculate
the probability that a college picked from the column for ‘School Type’
is ‘Private’.By hand or with Excel, for each of the 2 majors find the
probability that a college with the ‘School Type’ ‘Private’ has a
’30-Year ROI’ between $1,500,000 and $1,800,000.Excell Sheet Attached with ROI Data
Assignment 4
In this Assignment, you will be assessed based on the following outcome:
GB513-3: Predict business results by using quant ...
Assignment 4
In this Assignment, you will be assessed based on the following outcome:
GB513-3: Predict business results by using quantitative methods.
This Assignment requires you to use Excel in all three questions. Make sure you explain your
answers and provide the regression output tables for Questions 1 and 2.
Make sure to use the Unit 4 Assignment template from Course Documents when you turn in your
answers.
Question 1
Shown below are rental and leasing revenue figures for office machinery and equipment in the United
States over a 7-year period according to the U.S. Census Bureau. Use this data and the regression
tool in the data analysis tool pack to run a linear regression.
Based on the formula you get from the regression output, answer the following questions:
a) What is the forecast for the rental and leasing revenue for the year 2011?
b) How confident are you in this forecast? Explain your answer by citing the relevant metrics.
Year
Rental and
Leasing
($ millions)
2004 5,860
2005 6,632
2006 6,543
2007 5,952
2008 5,732
2009 5,423
2010 4,589
Question 2
Suppose a researcher gathered survey data from 19 employees and asked the employees to rate
their job satisfaction on a scale from 0 to 100 (with 100 being perfectly satisfied). Suppose the
following data represent the results of this survey. Assume that relationship with their supervisor is
rated on a scale from 0 to 50 (0 represents a poor relationship and 50 represents an excellent
relationship); overall quality of the work environment is rated on a scale from 0 to 100 (0 represents
poor work environment and 100 represents an excellent work environment); and opportunities for
GB513: Business Analytics
2 of 4
advancement is rated on a scale from 0 to 100 (0 represents no opportunities and 100 represents
excellent opportunities).
Answer the following questions:
a) What is the regression formula based on the results from your regression?
b) How reliable do you think the estimates will be based on this formula? Explain your answer by
citing the relevant metrics.
c) Are there any variables that do not appear to be good predictors of job satisfaction? How can
you tell?
d) If a new employee reports that her relationship with her supervisor is 40, rates her
opportunities for advancement to be at 30, finds the quality of the work environment to be at
75, and works 60 hours per week, what would you expect her job satisfaction score to be?
Job
satisfaction
Relationship
with
supervisor
Opportunities
for
advancement
Overall
quality of
work
environment
Total
hours
worked
per week
55 27 42 50 52
20 35 28 60 60
85 40 7 45 42
65 35 48 65 53
45 29 32 40 58
70 42 41 50 48
35 22 18 75 55
60 34 32 40 50
95 40 48 45 40
65 33 11 60 38
85 38 33 55 47
10 5 21 50 62
75 37 42 45 43
80 37 46 40 42
50 31 48 60 46
90 42 30 55 38
75 36 39 70 43
45 20 22 40 42
65 32 12 55 53
Question 3
GB513: Business Analytics
3 of 4
Investment analysts generally believe the interest rate on bonds is related to the prime interest rate
for loans.
a) Use the following data to construct a scatter graph and then fit a regression line to the data.
Report the regression formula and the r-squared values from the chart (right click on the data
points, select Add Trend line, and select options to show these metrics).
b) Do you think the bond rate can be predicted by the prime interest rate? Justify your answer
using the relevant metrics.
Prime
interest
rate
Bond
rate
5.0% 28.0%
12.0% 48.0%
9.0% 32.0%
1.5% 4.0%
0.4% 7.0%
11.0% 36.0%
6.0% 28.0%
2.0% 10.5%
Directions for submitting your Assignment
Make sure to use the Unit 4 Assignment template from Course Documents when you turn in your
answers. Submit your Assignment to the Unit 4 Dropbox.
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If showing the answer in %, have two decimal places.Answer the following problems showing your work and explaining or analyzing your results. Submit your work in a typed Microsoft Word document.A restaurant leaves a fishbowl on the counter for diners to drop their business cards. Once a month, a business card is pulled out to award one lucky diner with a free meal. Identify which type of sampling is used and why. (2 pts)A test of the effectiveness of a new curriculum could begin by dividing an area by school district, then choosing a school or set number of schools at random and sampling students from each. Identify which type of sampling is used and why. (2.5 pts)A survey about timekeeping might divide the population by time zone, then take 100 random samples per zone. Identify which type of sampling is used and why. (2.5 pts)A local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias? (2.5 pts)According to Abyss Consulting, the average age of viewers of “America’s Got Talent” is 25 years old. However, the producer of the show thinks it is higher than 25.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)A research analyst believes that average back-to-school spending is less than a trade group’s prediction of $606.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)\Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)\A study found that, in 2005, 12.5% of workers belonged to unions. Suppose a sample of 400 workers is collected in 2006 to determine whether union efforts to organize have increased union membership. The sample result show that 68 of the workers belonged to unions. State the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime.
What is the Type I error? (2.5 pts)What is the Type II error? (2.5 pts)Using a random sample of n = 36, the sample mean is x ̅ = 2.92. Suppose that the population standard deviation is σ=0.18.Is the above statistical evidence sufficient to make the following claim:μ<3at the 5% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12.Is the above statistical evidence sufficient to make the following claim:μ>295 right tail, one tail at the 1% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)
Quantitative and Analytical Techniques for Managers Statistics Questions
The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second at ...
Quantitative and Analytical Techniques for Managers Statistics Questions
The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second attachment is just to help you do harvard style citations, and the third attachment is the formulas to help solve the problems) You also will need SPSS for third section :)The first section deals with measures of central tendency and dispersion, the standard normal distribution and z-scores, and Pearson’s correlation coefficient. Section 2 covers Ordinary Least Squares regression. For both sections, you should calculate the solutions step-by-step and show your calculations clearly using structured tables as per the tutorials and lectures. In section 3 you are asked to research a question using multiple regression analysis performed via SPSS and to write up your results and conclusions.Please make sure that you cite ALL the sources you’ve used and include them all in your bibliography using the Harvard style. Please read the guidance on plagiarism and how to avoid it and make sure your assignment does not contain any plagiarism. Direct quotations must be placed in quotation marks and the source (author, year of publication, and page number) included in the text. If you paraphrase from a sentence from another source you must cite the source (author, year of publication and page number) at the end of each sentence that contains the paraphrased text.
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Answers Week6 Questions
Answer the following questions in a Word document and upload the document to the appropriate drop 1) The radii of the peda ...
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Answer the following questions in a Word document and upload the document to the appropriate drop 1) The radii of the pedal sprocket, the wheel ...
Abcott Institute Module 8 Treating Depression Lab Part
Module 8 -
Treating Depression Lab Part 1 (discussion 1) - mod 8 group 1
From 2020SU-MATH-160-1774
11 unread reply. ...
Abcott Institute Module 8 Treating Depression Lab Part
Module 8 -
Treating Depression Lab Part 1 (discussion 1) - mod 8 group 1
From 2020SU-MATH-160-1774
11 unread reply.55 replies.
Learn by Doing
In this activity, you will investigate the first question
related to the study described below.
Some features of this activity may not work well on a cell phone
or tablet. We highly recommend that you complete this activity on a computer.
Here are the directions and grading rubric for
the Learn by Doing discussion board exercises.
A list of StatCrunch directions is
provided at the bottom of this page.
Context
Clinical depression is a recurrent illness
requiring treatment and often hospitalization. Nearly 50% of people who have an
episode of major depression will have a recurrence within 2-3 years. Being able
to prevent the recurrence of depression in people who are at risk for the
disease would go a long way to alleviate the pain and suffering of patients.
During the 1980's the federal government, through the National Institutes of
Health (NIH), sponsored a large clinical trial to evaluate two drugs for
depression. There were 3 treatment groups. Patients received either Imipramine
(Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients
to one of the 3 treatment groups and followed them for 2-4 years to track any
recurrences of depression.
(Prien et al., Archives of General Psychiatry, 1984).
Variables
·
Hospt: Which hospital the patient was from: Labeled
1, 2, 3, 5 or 6
·
Treat: 0=Lithium; 1=Imipramine; 2=Placebo
·
Outcome: 0=Success 1=Failure (recurrence of
depression)
·
Time: Number of weeks until a recurrence (if
outcome=1) or until study ended (if outcome=0)
·
AcuteT: How long the patient was depressed before
the start of the current study, measured in days
·
Age: Age in years
·
Gender: 1=Female 2=Male
Data
If you have not done so already, download
the depression datafile (as always, if a login box
opens, just close it and then download the file). Then upload the file in
StatCrunch.
Prompt
We will analyze the data to answer the 1st
research question: Which of the drugs (if either) was more successful
in preventing the recurrence of depression relative to the placebo?
In the previous lab-preparation activity, we determined that we
will analyze the data using a two-way table and conditional percentages.
1. Use StatCrunch to produce a two-way
contingency table. (directions)
Copy the table in your StatCrunch output window and paste it in your initial
discussion post. (directions)
After you paste the content of the your StatCrunch output window into your
discussion post, keep the table titled Contingency table results: and
delete the Chi-Square results: table.
2. Analyze the data in your two-way table by
finding appropriate conditional percentages. Write each
conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g.
25/40 = 62.5%). Then write a sentence that explains the meaning of the
percentage in the context of the research question.
3. Draw a conclusion. Based on this study, which
drug was the most effective in preventing the recurrence of depression? Support
your conclusion using conditional percentages.
MA215 Grantham Week 2 Probability and Standard Deviation Paper
Project Week 2 For these project assignments throughout the course you will need to reference the data in the ROI Excel sp ...
MA215 Grantham Week 2 Probability and Standard Deviation Paper
Project Week 2 For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Using the ROI data set: For each of the 2 majors calculate the mean, median,
minimum, maximum, range, and standard deviation for the columns ‘Cost’
and ’30-Year ROI’. By hand or with Excel, for each of the 2 majors calculate
the probability that a college picked from the column for ‘School Type’
is ‘Private’.By hand or with Excel, for each of the 2 majors find the
probability that a college with the ‘School Type’ ‘Private’ has a
’30-Year ROI’ between $1,500,000 and $1,800,000.Excell Sheet Attached with ROI Data
Assignment 4
In this Assignment, you will be assessed based on the following outcome:
GB513-3: Predict business results by using quant ...
Assignment 4
In this Assignment, you will be assessed based on the following outcome:
GB513-3: Predict business results by using quantitative methods.
This Assignment requires you to use Excel in all three questions. Make sure you explain your
answers and provide the regression output tables for Questions 1 and 2.
Make sure to use the Unit 4 Assignment template from Course Documents when you turn in your
answers.
Question 1
Shown below are rental and leasing revenue figures for office machinery and equipment in the United
States over a 7-year period according to the U.S. Census Bureau. Use this data and the regression
tool in the data analysis tool pack to run a linear regression.
Based on the formula you get from the regression output, answer the following questions:
a) What is the forecast for the rental and leasing revenue for the year 2011?
b) How confident are you in this forecast? Explain your answer by citing the relevant metrics.
Year
Rental and
Leasing
($ millions)
2004 5,860
2005 6,632
2006 6,543
2007 5,952
2008 5,732
2009 5,423
2010 4,589
Question 2
Suppose a researcher gathered survey data from 19 employees and asked the employees to rate
their job satisfaction on a scale from 0 to 100 (with 100 being perfectly satisfied). Suppose the
following data represent the results of this survey. Assume that relationship with their supervisor is
rated on a scale from 0 to 50 (0 represents a poor relationship and 50 represents an excellent
relationship); overall quality of the work environment is rated on a scale from 0 to 100 (0 represents
poor work environment and 100 represents an excellent work environment); and opportunities for
GB513: Business Analytics
2 of 4
advancement is rated on a scale from 0 to 100 (0 represents no opportunities and 100 represents
excellent opportunities).
Answer the following questions:
a) What is the regression formula based on the results from your regression?
b) How reliable do you think the estimates will be based on this formula? Explain your answer by
citing the relevant metrics.
c) Are there any variables that do not appear to be good predictors of job satisfaction? How can
you tell?
d) If a new employee reports that her relationship with her supervisor is 40, rates her
opportunities for advancement to be at 30, finds the quality of the work environment to be at
75, and works 60 hours per week, what would you expect her job satisfaction score to be?
Job
satisfaction
Relationship
with
supervisor
Opportunities
for
advancement
Overall
quality of
work
environment
Total
hours
worked
per week
55 27 42 50 52
20 35 28 60 60
85 40 7 45 42
65 35 48 65 53
45 29 32 40 58
70 42 41 50 48
35 22 18 75 55
60 34 32 40 50
95 40 48 45 40
65 33 11 60 38
85 38 33 55 47
10 5 21 50 62
75 37 42 45 43
80 37 46 40 42
50 31 48 60 46
90 42 30 55 38
75 36 39 70 43
45 20 22 40 42
65 32 12 55 53
Question 3
GB513: Business Analytics
3 of 4
Investment analysts generally believe the interest rate on bonds is related to the prime interest rate
for loans.
a) Use the following data to construct a scatter graph and then fit a regression line to the data.
Report the regression formula and the r-squared values from the chart (right click on the data
points, select Add Trend line, and select options to show these metrics).
b) Do you think the bond rate can be predicted by the prime interest rate? Justify your answer
using the relevant metrics.
Prime
interest
rate
Bond
rate
5.0% 28.0%
12.0% 48.0%
9.0% 32.0%
1.5% 4.0%
0.4% 7.0%
11.0% 36.0%
6.0% 28.0%
2.0% 10.5%
Directions for submitting your Assignment
Make sure to use the Unit 4 Assignment template from Course Documents when you turn in your
answers. Submit your Assignment to the Unit 4 Dropbox.
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If showing the answer in %, have two decimal places.Answer the following problems showing your work and explaining or analyzing your results. Submit your work in a typed Microsoft Word document.A restaurant leaves a fishbowl on the counter for diners to drop their business cards. Once a month, a business card is pulled out to award one lucky diner with a free meal. Identify which type of sampling is used and why. (2 pts)A test of the effectiveness of a new curriculum could begin by dividing an area by school district, then choosing a school or set number of schools at random and sampling students from each. Identify which type of sampling is used and why. (2.5 pts)A survey about timekeeping might divide the population by time zone, then take 100 random samples per zone. Identify which type of sampling is used and why. (2.5 pts)A local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias? (2.5 pts)According to Abyss Consulting, the average age of viewers of “America’s Got Talent” is 25 years old. However, the producer of the show thinks it is higher than 25.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)A research analyst believes that average back-to-school spending is less than a trade group’s prediction of $606.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)\Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)\A study found that, in 2005, 12.5% of workers belonged to unions. Suppose a sample of 400 workers is collected in 2006 to determine whether union efforts to organize have increased union membership. The sample result show that 68 of the workers belonged to unions. State the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime.
What is the Type I error? (2.5 pts)What is the Type II error? (2.5 pts)Using a random sample of n = 36, the sample mean is x ̅ = 2.92. Suppose that the population standard deviation is σ=0.18.Is the above statistical evidence sufficient to make the following claim:μ<3at the 5% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12.Is the above statistical evidence sufficient to make the following claim:μ>295 right tail, one tail at the 1% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)
Quantitative and Analytical Techniques for Managers Statistics Questions
The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second at ...
Quantitative and Analytical Techniques for Managers Statistics Questions
The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second attachment is just to help you do harvard style citations, and the third attachment is the formulas to help solve the problems) You also will need SPSS for third section :)The first section deals with measures of central tendency and dispersion, the standard normal distribution and z-scores, and Pearson’s correlation coefficient. Section 2 covers Ordinary Least Squares regression. For both sections, you should calculate the solutions step-by-step and show your calculations clearly using structured tables as per the tutorials and lectures. In section 3 you are asked to research a question using multiple regression analysis performed via SPSS and to write up your results and conclusions.Please make sure that you cite ALL the sources you’ve used and include them all in your bibliography using the Harvard style. Please read the guidance on plagiarism and how to avoid it and make sure your assignment does not contain any plagiarism. Direct quotations must be placed in quotation marks and the source (author, year of publication, and page number) included in the text. If you paraphrase from a sentence from another source you must cite the source (author, year of publication and page number) at the end of each sentence that contains the paraphrased text.
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