This document discusses hypothesis testing and how to formulate null and alternative hypotheses about population means. It defines key terms like statistical hypothesis, null hypothesis, alternative hypothesis, one-tailed and two-tailed tests. It provides examples of applying hypothesis testing to evaluate claims about average student height, average lot price, and average weight loss. The goal is for learners to understand how to set up and perform hypothesis tests on means.
Probability Distribution (Discrete Random Variable)Cess011697
Learning Competencies:
- to find the possible values of a random variable.
illustrates a probability distribution for a discrete random variable and its properties.
- to compute probabilities corresponding to a given random variable.
There are some exercises for you to answer.
Random Variable (Discrete and Continuous)Cess011697
Learning Competencies
- to recall statistical experiment and sample space
- to illustrate a random variable (discrete and continuous).
- to distinguish between a discrete and a continuous random variable.
Probability Distribution (Discrete Random Variable)Cess011697
Learning Competencies:
- to find the possible values of a random variable.
illustrates a probability distribution for a discrete random variable and its properties.
- to compute probabilities corresponding to a given random variable.
There are some exercises for you to answer.
Random Variable (Discrete and Continuous)Cess011697
Learning Competencies
- to recall statistical experiment and sample space
- to illustrate a random variable (discrete and continuous).
- to distinguish between a discrete and a continuous random variable.
If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
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This Mathematics Learner's module discusses about the basic concepts of Probability and its strategies. It also teaches includes some examples about Probability.
Hypothesis Testing Definitions A statistical hypothesi.docxwilcockiris
Hypothesis Testing
Definitions:
A statistical hypothesis is a guess about a population parameter. The guess may or not be
true.
The null hypothesis, written H0, is a statistical hypothesis that states that there is no
difference between a parameter and a specific value, or that there is no difference between
two parameters.
The alternative hypothesis, written H1 or HA, is a statistical hypothesis that specifies a
specific difference between a parameter and a specific value, or that there is a difference
between two parameters.
Example 1:
A medical researcher is interested in finding out whether a new medication will have
undesirable side effects. She is particularly concerned with the pulse rate of patients who
take the medication. The research question is, will the pulse rate increase, decrease, or
remain the same after a patient takes the medication?
Since the researcher knows that the mean pulse rate for the population under study is 82
beats per minute, the hypotheses for this study are:
H0: µ = 82
HA: µ ≠ 82
The null hypothesis specifies that the mean will remain unchanged and the alternative
hypothesis states that it will be different. This test is called a two-tailed test since the
possible side effects could be to raise or lower the pulse rate. Notice that this is a non
directional hypothesis. The rejection region lies in both tails. We divide the alpha in two
and place half in each tail.
Example 2:
An entrepreneur invents an additive to increase the life of an automobile battery. If the
mean lifetime of the automobile battery is 36 months, then his hypotheses are:
H0: µ ≤ 36
HA: µ > 36
Here, the entrepreneur is only interested in increasing the lifetime of the batteries, so his
alternative hypothesis is that the mean is greater than 36 months. The null hypothesis is
that the mean is less than or equal to 36 months. This test is one-tailed since the interest
is only in an increased lifetime. Notice that the direction of the inequality in the alternate
hypothesis points to the right, same as the area of the curve that forms the rejection
region.
Example 3:
A landlord who wants to lower heating bills in a large apartment complex is considering
using a new type of insulation. If the current average of the monthly heating bills is $78,
his hypotheses about heating costs with the new insulation are:
H0: µ ≥ 78
HA: µ < 78
This test is also a one-tailed test since the landlord is interested only in lowering heating
costs. Notice that the direction of the inequality in the alternate hypothesis points to the
left, same as the area of the curve that forms the rejection region.
Study Design:
After stating the hypotheses, the researcher’s next step is to design the study. In designing
the study, the researcher selects an appropriate statistical test, chooses a level of
significance, and formulates a plan for conducting the study..
If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
This Mathematics Learner's module discusses about the basic concepts of Probability and its strategies. It also teaches includes some examples about Probability.
Hypothesis Testing Definitions A statistical hypothesi.docxwilcockiris
Hypothesis Testing
Definitions:
A statistical hypothesis is a guess about a population parameter. The guess may or not be
true.
The null hypothesis, written H0, is a statistical hypothesis that states that there is no
difference between a parameter and a specific value, or that there is no difference between
two parameters.
The alternative hypothesis, written H1 or HA, is a statistical hypothesis that specifies a
specific difference between a parameter and a specific value, or that there is a difference
between two parameters.
Example 1:
A medical researcher is interested in finding out whether a new medication will have
undesirable side effects. She is particularly concerned with the pulse rate of patients who
take the medication. The research question is, will the pulse rate increase, decrease, or
remain the same after a patient takes the medication?
Since the researcher knows that the mean pulse rate for the population under study is 82
beats per minute, the hypotheses for this study are:
H0: µ = 82
HA: µ ≠ 82
The null hypothesis specifies that the mean will remain unchanged and the alternative
hypothesis states that it will be different. This test is called a two-tailed test since the
possible side effects could be to raise or lower the pulse rate. Notice that this is a non
directional hypothesis. The rejection region lies in both tails. We divide the alpha in two
and place half in each tail.
Example 2:
An entrepreneur invents an additive to increase the life of an automobile battery. If the
mean lifetime of the automobile battery is 36 months, then his hypotheses are:
H0: µ ≤ 36
HA: µ > 36
Here, the entrepreneur is only interested in increasing the lifetime of the batteries, so his
alternative hypothesis is that the mean is greater than 36 months. The null hypothesis is
that the mean is less than or equal to 36 months. This test is one-tailed since the interest
is only in an increased lifetime. Notice that the direction of the inequality in the alternate
hypothesis points to the right, same as the area of the curve that forms the rejection
region.
Example 3:
A landlord who wants to lower heating bills in a large apartment complex is considering
using a new type of insulation. If the current average of the monthly heating bills is $78,
his hypotheses about heating costs with the new insulation are:
H0: µ ≥ 78
HA: µ < 78
This test is also a one-tailed test since the landlord is interested only in lowering heating
costs. Notice that the direction of the inequality in the alternate hypothesis points to the
left, same as the area of the curve that forms the rejection region.
Study Design:
After stating the hypotheses, the researcher’s next step is to design the study. In designing
the study, the researcher selects an appropriate statistical test, chooses a level of
significance, and formulates a plan for conducting the study..
Spot The Study DesignBelow are several real results sectionsChereCheek752
Spot The Study Design
Below are several real results sections
taken
from APA
published
manuscripts. Based on the
excerpts, I want you to do a few things for each study. FIRST, identify the study design (tell me if it is correlational or experimental).
SECOND, if it is experimental, identify the independent
variable. THIRD, if it is experimental, identify the
dependent variables.
FOURTH, tell me what statistical test the author ran
and tell me
how you know they ran that specific test (that is, what features of the results
excerpt
points to it being statistical test
ABC rather than statistical test
XYZ).
FINALLY,
piece together the null and alternative hypotheses for each study excerpt.
Note
#1: In published research, authors might refer to tables for means, so you may not see them in the excerpts below!
Note #2: Sometimes the author specifically mentioned the test they ran
in the excerpt. Since I think you can spot it without being blatantly told what
test they ran, I simple deleted that info (hence the ________ in some of the paragraphs). Hope you don’t mind!
Note #3: I might have included the same kind of
study
design more than once (and omitted some of the
study
designs we covered
this semester). You are forewarned!
____________________________________________________________________________
Study One Results Section:
To measure amount of violent video game play, participants were asked to name their three favorite video games, to indicate how often they play each video game (on a scale from 1 = sometimes to 7 = very often), and to rate how violent the content of each video game was (on a scale from 1=not at all to 7=very). As in previous research (e.g., Anderson & Dill, 2000; Greitemeyer, 2014), for each video game, the frequency of game play was multiplied by violent content. These three violent video game exposure scores were then summed to provide a measure of the amount of violent video game play.
The expanded version of the Comprehensive Assessment of Sadistic Tendencies (Buckels & Paulhus, 2014) was used to assess everyday sadism, which contains 18 items. A sample item is: “I was purposely mean to some people in high school.” To measure narcissism, psychopathy, and Machiavellianism, we used the Dirty Dozen, with four items per subscale (Jonason & Webster, 2010). Sample items are: “I tend to want others to pay attention to me” (narcissism), “I have used deceit or lied to getmy way“ (Machiavellianism), and “I tend to be cynical“(psychopathy). Both sadistic tendencies and the Dark Triad items were assessed on a scale from 1 (strongly disagree) to 5 (strongly agree). To measure trait aggression, participants responded to the short version of the Buss and Perry aggression questionnaire (Bryant & Smith, 2001),which contains 12 items (e.g., “I have threatened people I know.”) These items were assessed on a scale from 1 (very unlike me) to 5 (very like me). To measure the Big 5, a brief version was employed ...
THIS POWERPOINT EXPLAINS ABOUT HYPOTHESIS AND ITS TYPES, ROLE OF HYPOTHESIS,TEST OF SIGNIFICANCE AND PROCEDURE FOR TESTING A HYPOTHESIS, TYPE I AND TYPE ii ERROR
NORMAN, ELTON_BTM7303-12-8 2
NORMAN, ELTON_BTM7303-12-8 1
Hello Elton,
I appreciate your note. YES. Keep trying. I know that making the transition to doctoral-level reasoning can be hard! It was very hard for me in some areas because it seemed … unnatural. Does that make sense? Some aspects of this type of thinking seemed “clunky” and hard to explain in plain language. I wanted research problems, research purpose statements, etc. to simply flow. In the beginning of my journey there was very little flow (more like trickles) and lots of missteps!
For this assignment, you were asked to build on your assignment last week to further explore how you might examine your research problem using a quantitative methodology. You were required to respond to these questions:
· Please restate the research problem, purpose, and research questions you developed previously and incorporate any faculty feedback as appropriate. This week be sure to also include hypotheses for each of your research questions.
· How might surveys be used to answer your research questions? What are the advantages and disadvantages of using surveys to collect data?
· How might you use an experiment or quasi-experiment to answer your research questions? What are the advantages and disadvantages of using (quasi)experiments to collect your data?
· It is also important to consider how you might analyze the potential data you collect and factors that could affect those analyses. Specifically, what are Type I and Type II errors? How might these impact your study? What is statistical power? How might this impact your study? What steps can you take ahead of time to help avoid issues related to Type I & II errors as well as power?
As part of our standard, you were also required to use scholarly sources to support all assertions and research decisions.
Length: 5 to 7 pages, not including title and reference pages
I used the rubric below to assess your submission. As I moved through each section of your paper, I looked for information that demonstrated you understood important research terms such as hypothesis, null hypothesis, Type I and Type II Errors and statistical power. In most instances you demonstrated some understanding of these concepts or terms. In several instances your understanding hindered your ability to create rigorous hypotheses because there were aspects of these terms that remained unclear. I added several prompts and questions to help you in these areas.
Grading Rubric
Criteria
Content (4 points)
Points
1
State research problem, purpose, research questions and hypotheses
1.5/2
2
Discussed in detail the advantages and disadvantages of using surveys to collect data
.75/ 1
3
Explained how you could use experiments or quasi-experiments to collect data for your study and the advantages and disadvantages of these designs
.75/1
Organization (1 point)
4
Organized and presented in a clear manner. Included a minimum of five scholarly references, with appropri.
Grading Criteria: Health Care Careers Diagramand Summary
HCS/531 Version 3
1
Grading Criteria
Health Care Careers Diagram and Summary
This assignment is due in Week Four.
Content
60 Percent
Points Available
6
Points Earned
X/6
Additional Comments:
The diagram and summary discuss the following:
· Describe selected career.
· Identify two or three services and products within the selected career.
· Identify the workforce roles within the services and products.
· Discuss the impact of the roles on the health care organizations.
Organization/Development
20 Percent
Points Available
2
Points Earned
X/2
Additional Comments:
· The summary is 350 to 700 words in length.
· The introduction provides sufficient background on the topic and previews major points.
· The conclusion is logical, flows, and reviews the major points.
Mechanics
20 Percent
Points Available
2
Points Earned
X/2
Additional Comments:
· The paper—including the title page, reference page, tables, and any appendixes—is consistent with APA guidelines as directed by the facilitator. The paper is laid out with effective use of headings, font styles, and white space.
· Rules of grammar, usage, and punctuation are followed; spelling is correct.
Total Available
Total Earned
10
Question 1.1. Which of the following is associated with maturation in the cognitive domain?
(Points : 1)
Perception of given situations is relative to importance.
Older people tend to improve judgments over time.
Temperament is linked to social skills.
Development is rooted in biological growth.
Question 2.2. Sara is 30 years old and came from a two-parent, low-income household in an urban environment. She has reached a turning point at which she has begun to appreciate her current bidirectional life stage in conjunction with heredity and the circumstances of her environment. Sara has applied the _________________. (Points : 1)
sociocultural principle
maturation principle
epigenetic principle
psychodynamic principle
evolutionary principle
Question 3.3. Professor Stone follows patterns as they relate to human habitats, development, and behaviors. She is _____________. (Points : 1)
a cognitivist
an evolutionist
an ethologist
a behavioralist
Question 4.4. Changes based on biological and psychological forces are functions of _______. (Points : 1)
normative age-graded influences
cultural and age-graded influences
normative and cultural influences
biological and cultural influences
Question 5.5. Piaget’s ideas can be said to provide a barometer against which every other theory of cognitive development is compared. The _______________ and its focus on incremental gains in memory provide one such contrast. (Points : 1)
information processing approach
evolutionary approach
ecological approach
cognitive approach
Question 6.6. A scientist studied whether ...
Hypothesis TestingThe Right HypothesisIn business, or an.docxadampcarr67227
Hypothesis Testing
The Right Hypothesis
In business, or any other discipline, once the question has been asked there must be a statement as to what will or will not occur through testing, measurement, and investigation. This process is known as formulating the right hypothesis. Broadly defined a hypothesis is a statement that the conditions under which something is being measured or evaluated holds true or does not hold true. Further, a business hypothesis is an assumption that is to be tested through market research, data mining, experimental designs, quantitative, and qualitative research endeavors. A hypothesis gives the businessperson a path to follow and specific things to look for along the road.
If the research and statistical data analysis supports and proves the hypothesis that becomes a project well done. If, however, the research data proved a modified version of the hypothesis then re-evaluation for continuation must take place. However, if the research data disproves the hypothesis then the project is usually abandoned.
Hypotheses come in two forms: the null hypothesis and the alternate hypothesis. As a student of applied business statistics you can pick up any number of business statistics textbooks and find a number of opinions on which type of hypothesis should be used in the business world. For the most part, however, and the safest, the better hypothesis to formulate on the basis of the research question asked is what is called the null hypothesis. A null hypothesis states that the research measurement data gathered will not support a difference, relationship, or effect between or amongst those variables being investigated. To the seasoned research investigator having to accept a statement that no differences, relationships, and/or effects will occur based on a statistical data analysis is because when nothing takes place or no differences, effects, or relationship are found there is no possible reason that can be given as to why. This is where most business managers get into trouble when attempting to offer an explanation as to why something has not happened. Attempting to provide an answer to why something has not taken place is akin to discussing how many angels can be placed on the head of a pin—everyone’s answer is plausible and possible. As such business managers need to accept that which has happened and not that which has not happened.
Many business people will skirt the null hypothesis issue by attempting to set analternative hypothesis that states differences, effects and relationships will occur between and amongst that which is being investigated if certain conditions apply.Unfortunately, however, this reverse position is as bad. The research investigator might well be safe if the data analysis detects differences, effect or relationships, but what if it does not? In that case the business manager is back to square one in attempting to explain what has not happened. Although the hypothesis situation may seem c.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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.
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.
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.
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.
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.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
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.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
9. At the end of the discussion,
learners are able to:
1. identify the notation to be
used in formulating hypotheses;
2. illustrate one-tailed and two-
tailed tests;
3. differentiate null and
alternative hypotheses; and
10. In statistics, hypothesis
testing is the process of
using statistical tests to
determine whether an
observed difference
between two or more
samples is statistically
11. In a practical point of
view, hypothesis testing
allows you to collect
samples and make
decision based on facts,
not on how you feel or
12. To be able to prove your
assumptions, you must
state first the null and
alternative hypotheses.
13. Examine the pictures below then
answer the guide questions that
follow.
Effect of a Fertilizer on Plant Growth
20. 1. The average weight of all Grade 11
students in Senior High School is
169cm. Is this claim true?
21. 2. The average price per square meter
of residential lot in an exclusive
subdivision is above ₱15,000. A buyer
wants to test the agent’s claim.
22. 3. Holistic Fitness Center claims that their members
reduced an average of 13 pounds after joining the
center. An independent agency wanted to check this
claim took sample of 40 members and found that
they reduced an average of 12 pounds with the
standard deviation of 4 pounds. Determine the null
and alternative hypothesis.
