- Question 1 32 Suppose That The Sampling Frame Of A Hypothetical Population Contains Values Y1 3 Y2 4 Y3 4 Y4 1 (147 KiB) Viewed 121 times
QUESTION 1 [32] Suppose that the sampling frame of a hypothetical population contains values Y1 = 3, Y2 = 4, Y3 = 4, Y4 = 5, Y5 = 7, Y6 = 9 elements that constitute the entire population. The following Table lists all possible simple random samples of size three from this population. The partially completed table presents the list of samples drawn without replacement. The last two columns provide the sums of the observed values and the sum of squares of the observed values. Answers the questions given below. Samples Y1 Yo Yo Y4 ΣΥ ΣΥ 1 i=1 57 15 3 4 9 4 4 18 20 18 20 90 122 90 3 4 7 122 23 155 90 Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 Sample 9 Sample 10 Sample 11 Sample 12 Sample 13 Sample 14 Sample 15 3 4 4 9 122 18 20 23 23 19 21 24 24 24 155 155 97 129 162 162 162 4 4 9 7 7 4 4 9 1. Complete the table above. (10) 2. What the probability of drawing each one of the above simple random sample? (4) 3. Compute the population mean and variance. (2) 4. What is the sampling fraction of the each of the above samples? (2) 5. Estimate the sampling error of the sample mean for the sample size n = 4. (4) 6. Find the expected values the sample mean and variance based on the information provided in the table above. Comment. (10)