III. Given:In this performance assessment, you are a local statistician and you are interested to know if the average height of the SHS students (male or female) in your school is different to the national average height.IV. Requirement:Use the knowledge on hypothesis Testing on Population Mean, and do the following;1. Conduct a mini survey in your school to at least 25 SHS students (male or female)* For male students, ask for the heights of 25 male SHS students (grade 11 or 12)* For Female students, ask for the heights of25 female SHS students (grade 11 or 12)2. Determine the sample mean height3. At 95% confidence, perform the relevant test of hypothesis to prove the result of the national survey on the average height of SHS students in the Philippines.4. State your conclusion.5. Complete the task by using the table guide below.ProblemIn a national survey by a private company to SHS students, the average height of males is 158cm with standard deviation of 5cm, and the average height of females is 146.4 cm with standard deviation of 4cm.

Table Guide - Hypothesis Testing Step 1: Answer: Identify the claim and formulate the null and alternative hypothesis. Step 2: Answer: Set the level of significance and determine the type of test. Get the critical value, then draw and illustrate the rejection region. Step 3: Answer: Compute for the test value. Step 4: Answer: Make a statistical decision. Step 5: Answer: Formulate conclusion by answering the research