I If the Sample Size Keeps Getting Larger and Larger

question 23

Multiple Choice

i. If the sample size keeps getting larger and larger and finally equals the size of the population, there would be no error in predicting the population mean because the sample size and the size of the population would be the same. ii. A simple random sample assumes that each item or person in the population has an equal chance of being included.
iii. We can expect some difference between sample statistics and the corresponding population parameters. This difference is called the sampling error.

• A) (i), (ii), and (iii) are all correct statements
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

---

Definitions:

Standardized Scores

Scores that have been transformed to a common scale with a mean of zero and a standard deviation of one.

Symmetrical

Describes a shape or distribution where one half is a mirror image of the other half.

Infinite

Describing a value, quantity, or space that is limitless or without end.

Interquartile Range

Range of the middle 50% of the scores in a set of data.