2. Complete the details in Table 3.1 No. Sample Sample Mean a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 Table 3.2 Sample Mean X P(X) (X) * p(X) (x - ? x)* p(X) ? , = ? = ? x = 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made? B. Direction: Using the generalization formulated from the previous activity, read and answer the following questions. Write your answers and solution in the provided box. (Assume an infinite population) 1. Given the random samples of size n selected from populations with means and variances, find the mean and standard deviation of the sampling distribution of the sample mean in each case: a. n = 9, ? = 15, ?'=4 b. n = 100, ? = 34, ?2= 49 2. The average weight of cats in a particular barangay is 3.9 kg with a standard deviation of 0. 82 kg. If 30 cats are randomly selected, determine the mean, standard deviation, and variance of the corresponding sampling distributions of the sample means. Sampling and Sampling Distributions Specific Week: Week 5 to Week 8 Target Competencies: Identify and Illustrate sampling distributions of sample means with its mean, variance, and standard error. Illustrate and Solve problem involving Central Limit Theorem