| Tag | Value |
|---|---|
| file | Probability_uva-variance-1358-en_uva-variance-1358-en |
| name | uva-variance-1358-en |
| section | Probability/Elementary Probability/Random variables/Variance |
| type | schoice |
| solution | TRUE, FALSE, FALSE, FALSE |
| Type | Conceptual |
| Language | English |
| Level | Statistical Literacy |
| IRT-Difficulty | 2 |
| p-value | 0.5905 |
A population contains five numbers: 2, 3, 6, 8 and 11. Suppose you select 2 numbers at random (with return) from this population, then there are 25 possibilities. These possibilities are shown below:Ê
——– ——– ——– ——– ——— (2,2) (2,3) (2,6) (2,8) (2,11) (3,2) (3,3) (3,6) (3,8) (3,11) (6,2) (6,3) (6,6) (6,8) (6,11) (8,2) (8,3) (8,6) (8,8) (8,11) (11,2) (11,3) (11,6) (11,8) (11,11) ——– ——– ——– ——– ———
What then is the expected standard deviation for the sample averages?