6. Compuin the mann of the Sample Mean Probability POP) sampling distribution of the sample (a) On) . POD) monno, Follow those atapo: a. Multiply the sample mean by (ho corresponding probabiluy. b. Add the renulls. Total told. (6) /y = [[(XX) . POO)) story), 7. Compute the variance of the Bample Probability (X - [1 ) (x - 11) 2 sampling distribution of the sample Moan (X) POX) . (X -HY mann. Follow those atapnt a. Subtract the population mean from each sample moan. b. Square the difference. o. Multiply the results by the corresponding probability. d. Add tho rooulto. Total (d) ad sool (7) o' = =[P (X) . (X - 1) "] groun So, the variance of the sampling distribution of sample means unl sco 1. How did you find the activity? 2. How do you compare the mean of the sample mean and the mean of the population? 3. How does the variance of the sample mean and the variance of the population differ? ply the values of the following variables (if thereSteps Illustration/Solution 1. Compute the mean of the Formula: population H. ( 1) H= = =_ The mean of the population is 2. Compute the variance of the (a) ( x - 1 ) ( 6) ( x - 14 ) ? population of (a) Subtract each measurement by the computed population mean (x - H ) (b) Square the results obtained in (a) then add. Divide the sum by the frequency of measurements to get the value of the population variance. (2) 62 = [(-H N N So, the variance of the population is 3. Determine the number of (3) Use the formula NCne Til(N-n)! possible samples of size n = 2. 4. List all possible samples and Samples of Slee 2 (4) Mean (4) their corresponding means, 5. Construct the sampling (5) Sampling Distribution of Sample Means distribution of the sample means. Sample Mean (X) Frequency (D Probability P(X) Total