STATISTICS AND PROBABILITY

Quarter 3-Week 7 & 8 Module 3: SAMPLING AND SAMPLING DISTRIBUTION SAMPLING DISTRIBUTION OF THE SAMPLE MEAN USING CENTRAL LIMIT THEOREM

What's New

Activity 1. Fill me!

Directions: Complete the table below by writing the missing information in the given table.

What's New Activity 1. Fill me! Directions: Complete the table below by writing the missing information in the given table. Conditions Illustration Area Less than z = 1 The required area is equal to 0.5 + 0.3413 = 05 03418 0.8413. 10 Above z = -1 Between z = 0.98 and z = 2.58 Less than z = 1.5 Statistics and Probability Q3_W7&8| 1Activity 2: Choose Me! Directions: Read and understand the given question, then write the letter of the correct answer in a separate sheet of paper. 1. What is the required area as depicted by the shaded region of the given figure below? A. "At least z" B. "Less than -z" C. "Greater than z" D. "To the right of -z" 2. What is the correct step in getting for the area between z =-1 and z=1? A. Add the area of z = -1 and z = 1. B. Get the difference between the areas of z = 2 and z=1. C. Multiply the area of z =1 to itself. D. Subtract the area of z = -1 and z= 1. 3. What is the area of the shaded region in the given figure below if z = 1? A. 0.1587 B.0.3413 C. 0.5000 D. 0.8413 4. Which of the following is the formula to be used in solving for z-value applying Central Limit Theorem? B. z = C. z= X- D. Z = 2-H 5. Which of the following is the symbol for sample size? A. n B. N C. & D. o Central Limit Theorem states that the sampling distribution of the mean approximates a normal distribution with a mean of u and a standard deviation of y, if the sample size N of the random samples is large enough. In this case, as more samples with large sample sizes will be taken from a certain population with replacement, the sampling distribution will closely resemble to that of a normal distribution. On the question, " How large should be the sample size be?", statisticians do Statistics and Probability Q3_W7&8| 2What's More Enrichment Activity 1: Complete Me! Directions: Complete the following statements about Central Limit Theorem and Sampling Distribution of the Sample means. 1. A sampling distribution of sample means is a frequency distribution using the means computed from all possible random samples of specific size taken from a_ 2. The Central Limit Theorem states that if random samples of size n are drawn from a population, then as n becomes larger, the sampling distribution of the mean approaches the normal distribution, regardless of the shape of the 3. The mean of the population is equal to the mean of the 4. The Russian Mathematician who gave the first rigorous proof of the general Central Limit Theorem is_ 5. If a population has a mean of 25.6, then the mean of the sampling distribution of the sample means is Statistics and Probability Q3_W7&8| 5