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Let Us Try Activity 1: True or False Direction: On the space provided write True if the statement is correct and False if the statement is incorrect. 1. The Central Limit Theorem states that of the sample size n 2 30, then the sampling distribution of sample means approximates the normal distribution. 2. The mean of the sampling distribution is less than the population mean. 3. The variance or standard deviation of the sample means will be less than the variance or standard deviation of the population. 4. Unknown variance has a finite population that consists of a fixed number of elements. 5. 10 random samples are drawn from a population with u = 90 and o = 15. The population mean is 10. 4 GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021 Let Us Do Activity 2: Fill me! Direction: Solve problems involving sampling distributions of the sample mean. 1. The scores of individual students on a national test have a mean of 18.6 and a standard deviation of 5.9 in Region XII. What are the mean and standard deviation of the sample mean for 25 students? STEPS SOLUTION 1. Identify the given information Given: H =_ _ and n =_ Unknown: H&=?, of=? and of =? 2. Find the mean of the sampling H& = H= distribution 3. Solve the variance (of) and standard of = deviation (ox) of the sampling distribution of the means 4. Interpret the results 2. A teacher gave a 30-point summative test to a small class of 5 students in Purok 14 of Barangay Tinagacan. The results are 18, 20, 21, 23, and 26. Find a. population mean, variance, and standard deviation and b. mean, variance, and standard deviation of the sampling distribution of the samples means with a sample size of 2. STEPS SOLUTION N=. 1. Identify the given information Given: X = _ and n = Unknown: [=?, H&=?, of=? and ox =? 2. Find the sample mean of the H = Ex sampling distribution by solving the population mean Thus He= A, then He = 3. Solve the variance and standard deviation of the population using the formula 4. Solve the variance (of) and standard deviation (ox) of the n (N - 1 = sampling distribution of the 5 . N-n means Vn VN-1 5. Interpret the result 5 GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021