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SAMPLING DISTRIBUTION OF THE SAMPLE MEAN (Week 6) Note: Study pages 195-221 of your self-learning module to be able to answer the activity. You may use other reference materials, physical or online, if you deem the module insufficient. Instructions: Do as indicated. Show your solutions. Suppose a certain population composing of five subjects has the following values of the random variable X1 5 6 Create a sampling distribution of size 2 from the abovementioned population by following the steps: 1. Evaluate the number of combinations of N (population size) objects taken n (sample size) at a time. This is computed as: (M) N! n! (N - n)! 2. Write all the possible samples and compute for the mean of each sample. Observation Sample Mean 2 6 7 9 10 3. Construct a frequency distribution of the sample mean. Computed sample Frequency mean 4. Construct the probability distribution of the sample mean by computing for the probability of each sample mean. Computed sample Frequency Probability. mean P(X)