Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
Grades School RAMON TORRES SAGASA Grade 11
11 NATIONAL HIGH SCHOOL Level
DAILY Teacher JULLIENNE GRACE S. ANDRINO Learning STATISTICS AND PROBABILITY
LESSON Area
PLAN Teaching Dates APRIL 25, 2024 Quarter 4TH
and Time
(ANNOTATIONS)
-PPST INDICATORS/ KRA
OBJECTIVES/RUBRIC
I. OBJECTIVES INDICATORS TO BE
OBSERVED DURING THE
DEMONSTRATION
A. Content Standards The learners demonstrate an understanding of understanding of key
concepts of tests of hypotheses on the population mean and population
proportion.
B. Performance The learner is able to perform appropriate tests of hypotheses involving the
Standards population mean and population proportion to make inferences in real-life
problems in different disciplines.
C. Learning Identifies the appropriate form of the test-statistic when: (a) the population
Competencies/ variance is assumed to be known; (b) the population variance is assumed to
Objectives be unknown; and (c) the Central Limit Theorem is to be used.
Write the LC code for
each M11/12SP-IVb-2
D. Objective/s: The learners will be able to:
Determine the different forms of test statistic.
Differentiate the 2 test statistics
Identify when to use a certain form of test statistics based on
the given.
II. CONTENT COMPARING T-TEST AND Z-TEST
II. LEARNING RESOURCES
A. References Statistics and Probability SLM ; MELCs
1. Teacher’s Guide
pages
2. Learner’s Materials
pages
3. Textbook pages
4. Additional Materials
from Learning
Resource (LR) portal
B. Other Learning Activity sheets, , pictures, improvised, TV, laptop, power point
Resources presentation,
IV. PROCEDURES
ACTIVITY
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
*Prayer Preliminaries
*Checking of attendace
*Presenting the classroom standards/policies:
1. Be kind, polite, and courteous to others. INDICATOR 5:
2. Keep your hands and feet to yourself. Maintained learning
3. Be respectful of classmates, teachers, and property. environments through
4. Listen to the teacher and classmates, and follow directions. reiterating house rules
5. Work hard and always do your best. and classroom policies.
6. Be safe.
7. Raise your hand when you would like to speak in class, when leaving
your seat or if you need to leave the classroom for a reason. INDICATOR 1
8. Be ready to take the consequences if you break the rules. Integration of Basic
Mathematical Operations
MOTIVATION:
ACTIVITY 1: MATCH MADE IN HEAVEN!
INDICATOR 6
Five representatives go in front holding a picture of a particular symbol. The A learning environment
remaining part of the class will be grouped into two groups. Each group shall that promote fairness by
be given a definition of the symbol held by the 5 representatives in front. The allowing anyone to freely
task is each group shall brainstorm and analyze the definition given to them share their insights.
and representative from the group will then stand silently beside the symbol
being described. The teacher will then assess if the matching is indeed correct.
ACTIVITY 2: MAKUHA KA SA TINGIN!
*Flash card
Same group will be utilized. The teacher will be showing flash cards for each
group. The task is, they will be able to answer as many flash cards as possible
in 30 seconds. Same thing will happen for the next group but using different set
of flash cards. The group with the greatest number of correct responses shall be
awarded as the winner.
*The teacher will remind the class to keep quiet and settle down.
ANALYSIS
*The teacher will ask the class regarding the implication of the previous
activity to today’s lesson.
INDICATOR 4: Displayed
*The teacher will then ask the class whether what they think is the
proficient use of Mother
lesson today. As the teacher elicits responses from the class, any Tongue, Filipino and
language used by the learners were acceptable as long as there is an English to facilitate
exchange of thoughts and ideas. teaching and learning.
*The teacher will present the objectives of today’s lesson and let the
learners to read it aloud. INDICATOR 1
Integration of Oral
Communication
OBJECTIVES:
Employs various
Determine the different forms of test statistic. communicative strategies
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
Differentiate the 2 test statistics in different situations
EN11/12OCIIab-
Identify when to use a certain form of test statistics based on the 22
given.
INDICATOR 1
Integration of Reading
ACTIVITY 3: TESTingi lang!
*Group Reporting Indicator 2: Used a range
of teaching strategies
Same group will be used. Each shall be given a set of information on the that enhance learner
different forms of test statistics. Their task is to comprehend as a group the achievement in
information given and share it to the class after a minute of brainstorming. literacy(group reporting)
and numeracy (Venn
Group 1: diagram) skills.
A z-test is a statistical test used to determine whether two population means
are different when the variances are known, and the sample size is large. The INDICATOR 6
test statistic is assumed to have a normal distribution and nuisance A learning environments
that promote fairness by
parameters such as standard deviation should be known for an accurate z-test
allowing anyone to freely
to be performed. z-tests are used when we have large sample size (n≥30). Large
share their insights.
enough for the Central Limit Theorem to apply. Below is the formula to be used
in solving z-value where the population variance is assumed to be known.
Group 2:
A t-test is a calculation used to test a hypothesis, but they are useful when we
need to determine if there is a statistically significant difference between two
independent sample groups. Usually t-tests are most appropriate when dealing
with problems with a limited sample size (n <30). t-tests are used when the
sample size is below 30 and the population standard deviation is unknown.
The group will then share their insights using the given criteria:
Representative of each group shall then present their work using the given
criteria.
CRITERIA:
Content: 5 points
Presentation (explanation, delivery): 3points
Conclusion: 2 points
Total: 10 points
*The teacher reminds the class to ehave accordingly and observe minimum
silence while doing the task.
*The teacher gives rewards and praises for active participation of each group.
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
ACTIVITY 4: SAAN BA AKO?!
*Venn Diagram
In relation to activity 3, each group shall be given different variables used in the
two forms of test statistics. Their task is to determine which variable is being
used by z-test or by t-test or both.
T-TEST Z-TEST
The teacher reminds the class to ehave accordingly and observe minimum silence
while doing the task.
ABSTRACTION
ACTIVITY 5: ITAMA MO AKO!
INDICATOR 1
Same group will be utilized. The teacher will give an erroneous formula to each Integration of Reading
group. The task is to arrange the formula correctly using the instruction as and Writing
their guide. Explain critical reading
as a form of reasoning
Group 1: Z is equal to sample mean minus population mean divided by EN11/12RWS-IVac-8
population standard deviation over square root of n.
INDICATOR 3: Applied a
Answer: range of teaching
strategies to develop
critical and creative
thinking, as well as other
higher-order thinking
skills through inquisitive
thinking and
Group 2: T is equal to sample mean minus population mean divided by collaborative approach.
standard deviation of the sample over square root of n.
Answer: INDICATOR 9: Used
strategies for providing
timely, accurate and
constructive feedback to
improve learner
performance through
*The teacher reminds the class to ehave accordingly and observe minimum some sort of clarification
silence while doing the task. based on the activity.
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
*The teacher gives rewards and praises for active participation of each group.
INDICATOR 3: Applied a
The teacher deepens the lesson by asking thought-provoking range of teaching
questions and give additional information. strategies to develop
critical and creative
thinking, as well as other
The teacher deepens the lesson by adding information about it.
higher-order thinking
skills by asking though-
provoking questions.
TEST STATISTIC
Test statistic is a statistic used in statistical hypothesis testing, provides
a basis for testing a Null Hypothesis. A test statistic is random variable
that is calculated from sample data and used in a hypothesis test. The
sample statistic is use to either reject Ho (null hypothesis) or not to
reject Ha (alternative hypothesis).
There are two types of test statistic, we have z-test statistic and t-test
statistic.
1. z - test
A z-test is a statistical test used to determine whether two population
means are different when the variances are known, and the sample size
is large. The test statistic is assumed to have a normal distribution and
nuisance parameters such as standard deviation should be known for
an accurate z-test to be performed. z-tests are used when we have large
sample size (n≥30).
Large enough for the Central Limit Theorem to apply. Below is the
formula to be used in solving z-value where the population variance is
assumed to be known.
2. T-test
A t-test is a calculation used to test a hypothesis, but they are useful when we
need to determine if there is a statistically significant difference between two
independent sample groups. Usually t-tests are most appropriate when dealing
with problems with a limited sample size (n <30). t-tests are used when the
sample size is below 30 and the population standard deviation is unknown.
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
Things to ponder.
The students are encourage to answer in any language that they are
comfortable in sharing their ideas.
1. When shall we use the Z-Test?
2. When shall we use the T-Test?
3. In the given formula of the Z-test and T-test, what did you observe as
the only difference?
4. In what test statistics do we use the standard deviation of the sample?
5. What test statistics shall we use if n is greater than or equal to 30? If n
is less than 30?
APPLICATION
Considering each real-life situation, identify what form of test statistics shall we
use based on the given. Indicator 5: Maintained
1. The assistant principal of the Senior High School Department learning environments
announced that the mean score of Grade 11 students in the first quarter through reiterating house
examination in Statistics was 89 and the standard deviation was 12. rules and classroom
One teacher who believed that the mean score was less than this, policies.
randomly selected 34 students and computed their mean score. She
INFORMATIONS ABOUT
obtained a mean score of 85. At 0.01 level of significance, Determine the
THE LESSON ON
appropriate test statistic. EMOTIONAL
INTELLIGENECE WERE
ANSWER: BACKED UP BY
Since it is the population mean that is being tested, the population standard RESEARCHED-BASED
deviation is known, and n≥30, the appropriate test statistic is the z-test for a KNOWLEDGE AND/OR
single mean. PRINCIPLES WHICH
BECOME THE BASIS
2. During the Covid-19 pandemic crisis local officials in the province FOR DESIGNING THE
announced that the average price of a kilogram of chicken in the LESSON.
province is ₱195.00. However, a sample of 15 prices randomly collected
from different markets in the province showed an average of ₱200.00
and a standard deviation of ₱9.50. Using a 0.05 level of significance, is
this sufficient evidence to conclude that the average price of chicken in
the province is more than ₱195.00? Normality is assumed over the
population. Select the test statistic.
ANSWER:
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
Since it is the population mean that is being tested, the population standard
deviation is unknown, and n<30, the appropriate test statistic is the t-test.
EVALUATION
Indicator 9: Used strategies
The teacher gives a short test. for providing timely, accurate
and constructive feedback to
improve learner performance
through evaluation.
ASSIGNMENT
*Journal Writing Indicator 7 Established a
learner-centered culture by
Write your reflection as to the importance of determining the form of test using teaching strategies that
statistics to be used. Whether it is beneficial for our researchers or not. The respond to their linguistic,
reflection shall not be written in a 1 whole sheet of paper and shall not be cultural, socio-economic and
longer than 100 words but not less than 50 words. religious backgrounds.
Integration of
journalism.
V. REMARKS
VI. REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional
activities for remediation
C. Did the remedial lessons
work? No. of learners who
have caught up with the
lesson
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies worked well?
Why did these work?
F. What difficulties did I
encounter which my
principal or supervisor
can help me solve?
G. What innovation or
localized materials did I
use/discover which I wish
to share with other
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
Republic of the Philippines
Department of Education
REGION VI – Western Visayas
Schools Division of Bago City
RAMON TORRES SAGASA NATIONAL HIGH SCHOOL
teachers?
PREPARED & SUBMITTED BY: CHECKED BY:
JULLIENNE GRACE S. ANDRINO MA. EDEN P. MACARAMPAT
Subject Teacher Principal II
Address: Brgy. Sagasa, Bago City
Email Address: 302723@deped.gov.ph
Facebook Page: Ramon Torres Sagasa National High School
