A population consists of the five numbers 2, 3, 6, 8, and 11. Consider samples of size 2 that can be drawn from this population. 2. List all the possible samples and the corresponding mean. а. Sample Mean 2,3 2.5 4. 218 6.5 9.6 4.5 3.5 3,8 b. Construct the sampling distribution of the sample means. Sampling Distribution of Sample Means Sample Mean X 215 Frequency Probability P(X) 6.5 415 5.5 Draw a histogram of the sampling distribution of the means. с. 3. A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population. List all the possible samples and the corresponding mean. а. Sample Mean 115 Chapter 3 - Sampling and Sampling Distribution

1. Consider samples of size 3 selected from the population {3,6,9,15}. Calculate the sample mean, median and the range for each sample. а. 田 Sample М R Sample x M R Sample MR Sample x| M R {3,3,3} {6,3,3} {9,3,3} {15,3,3} {3,3,6} {6,3,6} {9,3,6} {15,3,6} {3,3,9} {6,3,9} {9,3,9} {15,3,9} {3,3,15} {6,3,15} {9,3,15} {15,3,15} {3,6,3} {6,6,3} {9,6,3} {15,6,3} {3,6,6} {6,6,6} {9,6,6} {15,6,6} {3,6,9} {6,6,9} {9,6,9} {15,6,9} {3,6,15} {6,6,15} {9,6,15} {15,6,15} {3,9,3} {6,9,3} {9,9,3} {15,9,3} {3,9,6} {6,9,6} {9,9,6} {15,9,6} {3,9,9} {6,9,9} {9,9,9} {15,9,9} {3,9,15} (6,9,15} {9,9,15} {15,9,15} {3,15,3} {6,15,3} {9,15,3} {15,15,3} {3,15,6} {6,15,6} {9,15,6} {15,15,6} {3,15,9} {6,15,9} {9,15,9} {15,15,9} {3,15,15} {6,15,15} {9,15,15} {15,15 ,15}

Three randomly selected children are surveyed. The ages of the children are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 a. Find the value of the population variance o². (Round to three decimal places as needed.)

Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of    change if I increase the sample size to 1,000 residents?