I. Direction: Answer the following. Show your complete solution.

A.Two students take an equivalent achievement test. Find their z-scores and identify which has the highest relative score (meaning the largest z-score).

1. Student C has a score of 40 on a test with a mean of 32 and a standard deviation of 6.

2.Student D has a score of 85 on a test with a mean of 78 and a standard deviation of 12.

3.Which student has the highest relative score?

II. Direction: Read the problem carefully and answer the following questions below.

BASED ON THE RECORDS OF THE ADMISSION OFFICE OF UNIVERSITY X , THE

MEAN SCORE OF ALL GRADE 11 TEST TAKERS IS 120 WITH A STANDARD

DEVIATION OF 20. ASSUMING THAT THE SCORES ARE NORMALLY DISTRIBUTED

ANSWER THE FOLLOWING PROBLEMS.

A. What is the z - score of a certain student whose raw score is :

a.120b. 150

B. What is the raw score of a certain student whose z score is equivalent to:

a.3b.- 0.25

C. What is the probability that a randomly selected student is one of the students

Whose scores are between 90 and 140 ?

III.DIRECTION : SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE

SOLUTIONS.

1. GIVEN THAT X IS A NORMALLY DISTRIBUTED RANDOM VARIABLE WITH A

MEAN OF 50 AND A STANDARD DEVIATION OF 5, FIND THE FOLLOWING.

a. P ( x > 55 )c. P ( 37< x < 48 )

b. P ( x < 40 )

2. SUPPOSE THAT THE MEAN IQ SCORE OF ALL TEST TAKERS IN A COLLEGE

ADMISSION TEST IS 100 AND HAS THE STANDARD DEVIATION OF 6.ASSUMING

THAT THE SCORES ARE NORMALLY DISTRIBUTED ,

a.What is the IQ score of a certain student with a z score of - 2.50 ?

b.Find the probability that the IQ score of a randomly selected test taker is greater

than 94.

c.Find the probability that the IQ score of a randomly selected test taker is less

than 88.

d.Find the probability that the IQ score of a randomly selected test taker is

between 88 and 112.

IV. DIRECTION: Answer the following problems.

NOTE: Make sure to watch theasynchronous videos first before answering. Link: 1.https://youtu.be/_JMZT2lf1XQ

2.https://youtu.be/5PsF5MsrCOo

1. The province of Cavite is considering the construction of a new LRT Lane. The province wants to conduct a survey to ask the residents if they agree to use their taxes for this purpose. What sampling method to be used and why?

2.A school official wants to know the students' opinions regarding the student services offered by the school. What is the best sampling method to be performed and explain your answer.

3.A reporter wants to know the opinion of the people of the Philippines about waging a war against China because of territorial disputes. What sampling method to be used and why?

4.Using systematic sampling, list down the five sample units when selecting 250 sample elements from a population of 2000 with 8 as the random start.

5.In a given population, there are 1500 high income families. 2500 middle income families, and 4000 low income families. If a sample of 500 families is needed in the study, how many families should be coming from each category?