Risk And Return Relationship PowerPoint Presentation SlidesSlideTeam
While building a diversified portfolio it is important to balance risk and returns, plan your investment strategy with our content ready easy to understand Risk and Return Relationship PowerPoint Presentation Slides. The visually appealing portfolio risk-return trade-off PowerPoint compete deck includes a set of pre-made PPT slides such as risk and return of stock bonds, and T-bills, investment strategies of predefined portfolios, risk and return of portfolio manager, measuring stock volatility proportionate, portfolio return analysis, calculating asset beta, portfolio value at risk, ranking the passive income streams impact and many more. Discuss the relationship between risk and return using security analysis and portfolio management PPT visuals. Utilize the professionally designed risk-return trade-off to structure your financial presentation. Furthermore, risk and return equation PPT visuals are completely customizable. You can add or delete the content if needed. Download this easy to use security analysis and portfolio management presentation deck to illustrate the risk-return relationship. Halt the growth of cultural differences with our Risk And Return Relationship PowerPoint Presentation Slides. Focus on bringing about acceptance.
Investment Decision — Capital Budgeting Techniques — Pay Back Method — Accounting Rate Of Return — NPV — IRR — Discounted Pay Back Method — Capital Rationing — Risk Adjusted Techniques Of Capital Budgeting. — Capital Budgeting Practices
Risk And Return Relationship PowerPoint Presentation SlidesSlideTeam
While building a diversified portfolio it is important to balance risk and returns, plan your investment strategy with our content ready easy to understand Risk and Return Relationship PowerPoint Presentation Slides. The visually appealing portfolio risk-return trade-off PowerPoint compete deck includes a set of pre-made PPT slides such as risk and return of stock bonds, and T-bills, investment strategies of predefined portfolios, risk and return of portfolio manager, measuring stock volatility proportionate, portfolio return analysis, calculating asset beta, portfolio value at risk, ranking the passive income streams impact and many more. Discuss the relationship between risk and return using security analysis and portfolio management PPT visuals. Utilize the professionally designed risk-return trade-off to structure your financial presentation. Furthermore, risk and return equation PPT visuals are completely customizable. You can add or delete the content if needed. Download this easy to use security analysis and portfolio management presentation deck to illustrate the risk-return relationship. Halt the growth of cultural differences with our Risk And Return Relationship PowerPoint Presentation Slides. Focus on bringing about acceptance.
Investment Decision — Capital Budgeting Techniques — Pay Back Method — Accounting Rate Of Return — NPV — IRR — Discounted Pay Back Method — Capital Rationing — Risk Adjusted Techniques Of Capital Budgeting. — Capital Budgeting Practices
I have given this presentation at the Amsterdam Business School, University of Amsterdam. It is a practical introduction for Master students in Financial Markets about the importance of Risk Management and the tools thereof.
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This is the first lecture in a series of data analytics topics and geared to individuals and business professionals who have no understand of building modern analytics approaches. This lecture provides an overview of the models and techniques we will address throughout the lecture series, we will discuss Business Intelligence topics, predictive analytics, and big data technologies. Finally, we will walk through a simple yet effective example which showcases the potential of predictive analytics in a business context.
What is Economic Performance?
Different techniques if economic forecasting (Survey, Econometric Models, Economic Indicators, Diffusion and composition indices).
I have given this presentation at the Amsterdam Business School, University of Amsterdam. It is a practical introduction for Master students in Financial Markets about the importance of Risk Management and the tools thereof.
Data Science - Part I - Sustaining Predictive Analytics CapabilitiesDerek Kane
This is the first lecture in a series of data analytics topics and geared to individuals and business professionals who have no understand of building modern analytics approaches. This lecture provides an overview of the models and techniques we will address throughout the lecture series, we will discuss Business Intelligence topics, predictive analytics, and big data technologies. Finally, we will walk through a simple yet effective example which showcases the potential of predictive analytics in a business context.
What is Economic Performance?
Different techniques if economic forecasting (Survey, Econometric Models, Economic Indicators, Diffusion and composition indices).
The degree at which consumers change their purchasing behaviour is known as Elasticity. Homework Guru provides Elasticity and forecasting homework help to students across the world. For more visit www.homeworkguru.com or send us an email at support@homeworkguru.com
A business plan is a document that brings together the key elements of a business that include details about the products and services, the cost, sales and expected profits.
SPSS does not have Z test for proportions, So, we use Chi-Square test for proportion tests. Test for single proportion and Test for proportions of two samples
[The following information applies to the questions displayed belo.docxdanielfoster65629
[The following information applies to the questions displayed below.]
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level.
H0: μ ≤ 10
H1: μ > 10
1.
Value:
10.00 points
Required information
a.
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
2.
Value:
10.00 points
Required information
b.
What is the decision rule?
Reject H0 when z ≤ 2.326
Reject H0 when z > 2.326
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
3.
Value:
10.00 points
Required information
c.
What is the value of the test statistic?
Value of the test statistic
References
EBook & Resources
Worksheet Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
4.
Value:
10.00 points
Required information
d.
What is your decision regarding H0?
Fail to reject H0
Reject H0
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
5.
Value:
10.00 points
Required information
e.
What is the p-value?
p-value
References
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 when the test statistic is the interval (,).
b.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
Do not reject
Reject
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
a.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Rej.
Find best tutors to do your Market Homework Help at www.homeworkguru.com. Send us an email at support@homeworkguru.com or log on to www.homeworkguru.com.
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Organizational behaviour : Training & Development.Homework Guru
Organizational behaviour studies the impact of individual on groups in an organization. Training and development help in increasing the effectiveness of operations and the proficiency of personnel.
Homework Guru offers one-to-one learning solutions for students and professionals.A pioneer in the education space , we provide quality online tutoring /homework help/ exam preperation help to students across the globe at a very affordable price.With a diverse and highly educated tutor base of over 10,000 registered tutors ,we have been able make learning fun.
Organizational behaviour : Training & Development.Homework Guru
Organizational studies the impact individuals and groups have on human behaviour with the organization it works.Training and Development plays a key role in increasing the effectiveness of operations in an organization
Homework Guru offers one-to-one learning solutions for students and professionals.A pioneer in the education space , we provide quality online tutoring /homework help/ exam preperation help to students across the globe at a very affordable price.With a diverse and highly educated tutor base of over 10,000 registered tutors ,we have been able make learning fun.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
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Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
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Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
2. 2Slide
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5. 5Slide
Hypothesis Tests
Developing Null and Alternative Hypotheses
Type I and Type II Errors
Hypothesis Tests for Population Mean: s Known
Hypothesis Tests for Population Mean: s Unknown
6. 6Slide
One-tailed
(lower-tail)
One-tailed
(upper-tail)
Two-tailed
0 0:H
0:aH
0 0:H
0:aH
0 0:H
0:aH
Summary of Forms for Null and Alternative
Hypotheses about a Population Mean
The equality part of the hypotheses always appears
in the null hypothesis.
In general, a hypothesis test about the value of a
population mean must take one of the following
three forms (where 0 is the hypothesized value of the
population mean).
7. 7Slide
Type I and Type II Errors
Correct
Decision
Type II Error
Correct
Decision
Type I Error
Reject H0
(Conclude > µ0)
Accept H0
(Conclude < µ0)
H0 True
( < µ0)
H0 False
( > µ0)Conclusion
Population Condition
8. 8Slide
Two Basic Approaches to Hypothesis Testing
There are two basic approaches to conducting a
hypothesis test:
1- p-Value Approach, and
2- Critical Value Approach
9. 9Slide
1- p-Value Approach to
One-Tailed Hypothesis Testing
Reject H0 if the p-value <
In order to accept or reject the null hypothesis the p-value is
computed using the test statistic --Actual Z value.
Do not reject (accept) H0 if the p-value >
10. 10Slide
2- Critical Value Approach
One-Tailed Hypothesis Testing
Use the Z table to find the critical Z value, and
Use the equation to find the actual Z--Z .
The rejection rule is:
• Lower tail: Reject H0 if Actual z < Critical -z
• Upper tail: Reject H0 if Actual z > Critical z
In other words, if the actual Z (Z ) is in the rejection
region, then reject the null hypothesis.
s
/
x
z
n
Equation for finding the
actual Z value:
11. 11Slide
Steps of Hypothesis Testing
Step 1. Develop the null and alternative hypotheses.
Step 2. Specify and n.
Step 3. Compute critical Z and actual Z values.
Step 4. Use either of the following approaches to
make conclusion:
1- p-Value Approach, or
2- Critical Approach
12. 12Slide
Example: Metro EMS
The EMS director wants to
perform a hypothesis test, with a
0.05 level of significance, to determine
whether the service goal of the response time to be
at most 12 minutes or less is being achieved.
The response times for a random
sample of 40 medical emergencies
were tabulated. The sample mean
is 13.25 minutes. The population
standard deviation is believed to
be 3.2 minutes.
One-Tailed Tests About a Population Mean:
s Known
13. 13Slide
1. Develop the hypotheses.
2. Level of significance and sample size are: = .05
n = 40
H0:
Ha:
p -Value and Critical Value Approaches
One-Tailed Tests About a Population Mean:
s Known: Solution
3. Compute the value of the test statistic.
s
13.25 12
2.47
/ 3.2/ 40
x
z
n
Actual z
14. 14Slide
5. Make conclusion about H0
We are at least 95% confident that Metro EMS is
not meeting the response goal of 12 minutes.
p –Value Approach
4. Compute the p –value.
From the Z table the actual z = 2.47
p–value = 0.5 - .4932 = .0068
Because p–value = .0068 < = .05, we reject H0.
One-Tailed Tests About a Population Mean:
s Known: Solution Continued
using Z table,
16. 16Slide
5. Make conclusion about H0
We are at least 95% confident that Metro EMS is
not meeting the response goal of 12 minutes.
Because actual z = 2.47 > Critical z = 1.645
we reject H0.
Critical Value Approach
For = .05, z.05 = 1.645
4. Determine the critical value and rejection rule.
Reject H0 if actual z > 1.645
Finding critical z value
0.5 – 0.05 = 0.45
Then, from table
1.64 + 1.65
3.29 / 2 = 1.645
One-Tailed Tests About a Population Mean:
s Known: Solution Continued
18. 18Slide
Excel: SWStat
One-Tailed Tests About a Population Mean:
s Known
PApproach
Critical Approach
Because actual z = 2.47 >
Critical z = 1.645 we
reject H0, or
Because p–value = .0068
< α = .05, we reject
H0
19. 19Slide
Example: Glow Toothpaste
Two-Tailed Test for Population Mean: s Known
Quality assurance procedures call for
the continuation of the filling process if the
sample results are consistent with the assumption that
the mean filling weight for the population of toothpaste
tubes is 6 oz.; otherwise the process will be adjusted.
The production line for Glow toothpaste
is designed to fill tubes with a mean weight
of 6 oz. Periodically, a sample of 30 tubes
will be selected in order to check the
filling process.
20. 20Slide
Example Continued: Glow Toothpaste
Perform a hypothesis test, at the 0.03
level of significance, to help determine
whether the filling process should continue
operating or be stopped and corrected.
Assume that a sample of 30 toothpaste
tubes provides a sample mean of 6.1 oz.
The population standard deviation is
believed to be 0.2 oz.
Two-Tailed Test for Population Mean: s Known
21. 21Slide
1. Determine the hypotheses.
2. Alpha and sample size are given
3. Compute the value of the test statistic.
= .03 and n=30
p –Value and Critical Value Approaches
H0:
Ha: 6
Two-Tailed Tests About a Population Mean:
s Known: Solution
s
0 6.1 6
2.74
/ .2/ 30
x
z
n
Actual z
22. 22Slide
5. Determine whether to reject or to accept H0.
p –Value Approach
4. Compute the p –value.
For actual z = 2.74, the probability = 0.4969, thus
p–value = 2(0.5 – 0.4969) = 2 (0.0031) = 0.0062
Because p–value = .0062 < = .03, we reject H0.
We are at least 97% confident that the mean filling
weight of the toothpaste tubes is not 6 oz.
Two-Tailed Tests About a Population Mean:
s Known: Solution Continued
23. 23Slide
/2 =
.015
0
z/2 = 2.17
z
/2 =
.015
-z/2 = -2.17
za = 2.74z = -2.74
1/2
p -value
= .0031
1/2
p -value
= .0031
Solution Continued
Because p–value = .0062 < = .03, we reject H0.
24. 24Slide
Two-Tailed Tests About a Population Mean:
s Known: Solution Continued
Critical Value Approach
To Find the Critical Z Value:
/2 =
.015
Given that = 0.03, thus /2 = .015 and
0.5 – 0.015 = 0.485
Then from the table we need to find the z
value of 0.485.
Locate 0.485 in the Z Table.
Thus, the critical z value for 0.485 is 2.17
Critical z/2 = 2.17
Critical z/2
0.485
0.5
25. 25Slide
Critical Value Approach
Conclusion:
We are at least 97% confident that the mean filling weight
of the toothpaste tubes is not 6 oz.
Because actual z of 2.74 > critical z of 2.17, we reject H0
Two-Tailed Tests About a Population Mean:
s Known: Solution Continued
s
0 6.1 6
2.74
/ .2/ 30
x
z
n
Actual Z
26. 26Slide
/2 = .015
0 2.17
Reject H0
z
Reject H0
-2.17
Actual Z Value
z
x
n
s
0
/
/2 = .015
Critical Approach: Solution Continued
= 2.74
Critical Z values
Because actual z of 2.74 > critical z of 2.17, we reject H0.
30. Confidence Intervals Versus
Hypothesis Tests
A standard confidence interval is equivalent to a
two-tail hypothesis test.
All two tails tests can be handled either as
hypothesis tests or as confidence intervals.
The confidence interval has the appeal of
providing a graphic feeling for how close the
hypothesized value lies to the ends of confidence
interval.
Rejection Rule: If the confidence interval
does not contain H0 , we reject H0.
31. 32 males between the ages of 40 and 69 years with
moderate carotid disease were tested at the Henry
Hospital over 39-,months period. Their mean systolic
pressure was 146.6 mmHg with a standard deviation of
17.3 mmHg. At a = 0.05, is this sample consistent with a
population mean of 140 mmHg, which is considered a
borderline for dangerously high blood pressure (note:
recent medical evidence suggests 130 as a borderline, but
we will use the older benchmark)?
Thinking Challenge Example
Apply confidence interval approach to test the hypothesis
32. 32Slide
Confidence Interval Approach:
For this problem, the two-sided hypothesis would be:
H0: 4
Ha: 4
The 95% confidence interval (α=0.05) for is:
x t
s
n
/2
Since interval 140.36 < < 152.84 does not contain =140 we
would reject the hypothesis H0: 4 in favor of Ha: 4
Margin of Error
Thinking Challenge Example
Solution
146 – + (2.040) 17.3 /5.657
33. 33Slide
Test Statistic
Hypothesis Tests About a Population Mean:
s Unknown
t
x
s n
0
/
This test statistic has a t distribution
with n - 1 degrees of freedom.
Actual t Value
34. 34Slide
A State Highway Patrol periodically samples
vehicle speeds at various locations
on a particular roadway.
The sample of vehicle speeds
is used to test the hypothesis
Example: Highway Patrol
One-Tailed Test About a Population Mean: s Unknown
The locations where H0 is rejected are deemed
the best locations for radar traps.
H0: < 65
35. 35Slide
Example Continued: Highway Patrol
At Location F on I-75, a sample of 64 vehicles shows a
mean speed of 66.2 mph with a
sample standard deviation of
4.2 mph. Use = .05 to
test the hypothesis.
Use Excel
38. 38Slide
0 critical t = 1.669
Reject H0
Do Not Reject H0
t
One-Tailed Test About a Population Mean:
s Unknown: Solution Continued
t Statistic = Actual t = 2.286
39. 39Slide
The current rate for producing 5
amp fuses at Ariana Electric Co. is
250 per hour. A new machine has
been purchased and installed that,
according to the supplier, will
increase the production rate. The
production hours are normally
distributed. A sample of 10 randomly
selected hours from last month
revealed that the mean hourly
production on the new machine was
256 units, with a sample standard
deviation of 6 per hour.
At the .05 significance level
can Ariana Electric Co.
conclude that the new
machine is faster?
Thinking Challenge
and
Solution
40. 40Slide
Step 4
State the decision rule.
There are 10 – 1 = 9
degrees of freedom.
Step 1
State the null and
alternate hypotheses.
H0: µ < 250
H1: µ > 250
Step 2
Select the level of
significance. It is .05.
Step 3
Find a test statistic. Use
the t distribution since s
is not known and n < 30.
The null hypothesis is rejected if t > 1.833 or, using the
p-value, the null hypothesis is rejected if p ≤ 0.05
41. 41Slide
162.3
106
250256
ns
X
t
Computed t (or actual t) of 3.162 >
critical t of 1.833 and
From Excel, p of .0058 <
So we reject Ho
The p(t >3.162) is .0058
for a one-tailed test.
Step 5
Make a decision
and interpret the
results.
Conclusion
The mean number of
amps produced by the
new machine is more
than 250 per hour.
Actual t
43. 43Slide
Solution Continued
Since computed t (or actual t)
of 3.162 > critical t of 1.833
and since p of .0058 <
thus, we reject Ho
Hence, we conclude that the
mean number of amps
produced by the new machine
is more than 250 per hour.
H0: µ < 250
44. 44Slide
A group of young businesswomen wish to open a
high fashion boutique in a vacant store, but only if
the average income of households in the area is
more than $45,000. A random sample of 9
households showed the following results.
Thinking Challenge
$48,000 $44,000 $46,000
$43,000 $47,000 $46,000
$44,000 $42,000 $45,000
and
Solution
45. 45Slide
Use the statistical techniques in Excel (SWStat) to
advise the group on whether or not they should
locate the boutique in this store. Use a 0.05 level of
significance. (Assume the population is normally
distributed).
Thinking Challenge
(Continued)