This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacherâ€™s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

In the previous module, you have learned more about hypothesis. You identified the two kinds of hypotheses and the directionality test of hypothesis. The module also discussed about the notations commonly used in formulating a hypothesis. You also accomplished activities identifying the test of hypothesis to be used after formulating null and alternative hypotheses.

This time, you are ready to identify the test statistic to be used when the population variance is known and unknown.

After going through this module, you are expected to:

1. define the statistical concepts related to test concerning means;

2. identify the appropriate form of test statistics 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; and

3. apply the concepts of test statistic on real-life problems.

## Statistics and Probability Quarter 4 Self-Learning Module: Identifying Appropriate Test Statistics Involving Population Mean

Statistics-and-Probability_q4_mod4_Identifying-Parameter-to-be-Tested-Given-a-Real-Life-Problem_V2-pdf