education

Republic of the Philippines

Department of Education

Region X

DIVISION OF GINGOOG CITY

Gingoog City Comprehensive National High School

Gingoog City

 

SENIOR HIGH SCHOOL SAMPLE DAILY LESSON PLAN

 

 

 

School: GCCNHS

Grade Level: 11

Teacher: LUDITA S. ALJAS

Learning Area: Statistics and Probability

Teaching Date: March 5 - 9, 2018 

Quarter: 4

Schedule: TWThF/1:00 – 2:00, Humility, 2:00 – 3:00, Fortitude, 4:00 – 5:00, Temperance

 

March 19 - 22, 2018 

 

I.OBJECTIVE/S

A. Content Standard

The learner demonstrates understanding of key concepts of tests of hypotheses on the population mean and population proportion.

B. Performance Standard

The learner is able to perform appropriate tests of hypotheses involving the population mean and population proportion to make inferences in real-life problems in different disciplines.

C. Learning Competencies/Objectives

 The learners are expected to   

1. Identify the appropriate form of the test-statistic when:  (a) the population variance is assumed to be known  (b) the population variance is assumed to be unknown; and  (c) the Central Limit Theorem is to be used.

2. The learners are expected to compute for the test-statistic value (population mean).

3. The learners are expected to draw conclusion about the population mean based on the test-statistic value and the rejection region.

4. The learners are expected to solve problems involving test of hypothesis on the population mean.

Learning Codes: M11/12SP-IVc-1, M11/12SP-IVd-1, M11/12SP-IVd-2, M11/12SP-IVe-1

II. CONTENT

Estimation of Parameters, Tests of Hypothesis

III. LEARNING RESOURCES

1. Reference: Statistics and Probability


2. CG Pages: 4 & 5

IV. PROCEDURE

1. Preliminary Activities/Review: Checking of attendance and reminders.

2. What is the test statistic to be used when n 30?

1. Establishing a purpose

Presentation of objectives

1. Motivation: What is the difference between the z – test statistic and the t – test statistic?


2. Activity

In  the following problem a. state the null and alternative hypotheses, b. compute the test-statistic, c. determine the critical value and the rejection region, and d. draw a conclusion:

It is claimed that the mean annual salary of call center customer service representatives is ₱ 188,584.00. a researcher randomly selected 45 call center costumer service representatives. He computed the mean of their annual salaries and obtained a mean of  ₱ 188,600.00. Does this show that the mean salary of call center customer service representatives is greater than ₱ 188,584.00? Use 0.05 level of significance and assume that the population standard deviation is ₱ 39.50.

 Analysis: What do we need to solve or do about the given situation? what are the steps and formulas needed to solve this problem? 

1. Abstraction

How is the null and alternative hypotheses formulated?

What is the appropriate test statistic to use when the variance is assumed to known and the sample size is 40?

1. Application

Formulate the appropriate null and alternative hypotheses on a population mean.

Identify the appropriate form of the test statistic to be used in the following situation:

 

1. Evaluation


2. 
   

   Compute the test –statistic then draw conclusion in the following scenarios:

   
   The mean annual income of workers who are college graduates is greater than 120,000.00 pesos a year. 52 randomly selected workers mean annual income is ₱ 121,048.00 and a standard deviation of ₱ 453.00  . Use 0.05 significance level.

Compute the test –statistic then draw conclusion in the following scenarios:

1. The mathematics teacher claims that the mean IQ of Statistics students is 110. The mean IQ of the 32 randomly selected Statistics students is 112 which is more than what the mathematics teacher claims. Use 0.10 significance level.

Identify the appropriate form of the test statistic to be used in the following situation:

A company which produces batteries claims that the life expectancy of their batteries is 90 hours. In order to test the claim a consumer interest group tested a random sample of 40 batteries.

1. Assignment

Compute the test –statistic then draw conclusion in the following scenarios:

The mean annual income of workers who are college graduates is greater than 100,000.00 pesos a year. 43 randomly selected workers mean annual income is ₱ 101,035.00 and a standard deviation of ₱ 342.00  . Use 0.10 significance level.

Identify the appropriate form of the test statistic to be used in the following situation:

It is claimed that the average monthly income of chemical engineers last year was ₱ 27,900.00. A random sample of 35 chemical engineers is selected and it is found out that the average monthly salary is ₱ 28,000.00.

V. Remarks

VI. Reflection

1. No. of learners who earned 80% on the formative assessment: 27


2. No. of learners who required additional activities for remediation: 13


3. Did the remediation lesson work? yes


4. No. of learners who continue to require remediation: 6


5. Which of my teaching strategy work well? Why did these work?


6. What difficulties did I encounter which my principal or supervisor can help me solve?


7. What innovation or localized materials did I use/discover which I share?