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Mean (X ) PIX ) IV.EVALUATION: Activity 1: Practice Read and answer the following: 1. Consider a finite population with size 10, mean age of 20 and standard deviation 2. Samples of size 4 are obtained from the population of those who received Pasig City SAP. Determine the following: a. Mean age of the sampling distribution. b. Variance of the sampling distribution. Mean c. Standard deviation or standard error of the mean. Samples 2. Consider a finite population with size 5, mean number of hours 6 and standard deviation 2.5. Samples of size 3 are obtained from the population who work from home in time of GCQ. Determine the following: a. Mean age of the sampling distribution. b. Variance of the sampling distribution. c. Standard deviation or standard error of the mean. 3. If a population consist of the values (3,5,8,9): a. find all possible samples of size 2 which can be drawn without from this population. b. find the mean, variance and standard deviation of the sampling distribution of the mean. 1. The variance of the sampling distribution of the sample means is given by o' x = = (" for finite population " 2. The standard deviation of the sampling distribution of the sample means is given by ox = * . " for finite population where was the finite population correction factor: and 3. The number of samples of size a that can be drawn from a population of size N is given by NCE 4. The probability distribution that describes the probability for each mean of all the samples with the sample size n is called sampling distribution