1. The results of a nationwide aptitude test in mathematics are normally distributed with mean = 63 and standard deviation = 5. What is the 97.5th percentile?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Statistics and Probability Q3 Modules 3.3-5.3 (for 2 weeks)

Learning Tasks: (for 2 weeks)

A. Directions: Analyze the problem below by providing a comprehensive answer to the given question. Write the complete solution on your answer sheets if needed.

1. The results of a nationwide aptitude test in mathematics are normally distributed with mean = 63 and standard deviation = 5. What is the 97.5th percentile?

2. There are 20 members of the taekwondo club, 40 math club members, 60 drama theatre members, and 30 members of the science club. The researchers want to get 20 respondents out of these organizations. Identify the samples to be taken in each organization. Get the samples needed for each category using stratified random sampling.

B. Construct a sampling distribution of sample mean and answer the questions on your answer sheet. Samples of 3 cards are drawn from a population of five cards numbered from 1-5.

1. How many are the possible outcomes?

2. What are the possible means?

3. What is the probability of getting 4 as a mean?

4. What is the probability of getting 2 as a mean?

5. What is the probability of getting 3.33 as a mean?

Performance Task: Draw a Venn diagram by listing the similarities and differences of parameter and statistic

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