answer the following, manual calculations with solution

TEST II: Direction: Consider a population consisting of the values (1,3,4). 1. Compute the population mean. 2. Compute the population variance. 3. List all the possible samples of size 2 that can be drawn from the population with replacement. 4. Compute for the mean of the sampling distribution of the means. 5. Compute for the standard deviation of the sampling distribution of means. 6. Construct the probability histogram of x without replacement when n=2. TEST III: Directions: Use the t-table to identify the area under the t-distribution given the t-value and the number of degrees of freedom. 1. Area to the right of 2.821 under a t-distribution with 9 degrees of freedom 2. Area to the left of -2. 179 under a t-distribution with 12 degrees of freedom 3. Area to the left of 0.889 under a t-distribution with 8 degrees of freedom 3 | Page