Final answer:
In hypothesis testing involving matched or paired samples, two measurements are taken from the same individuals or objects, and their two sample means are compared. Sample sizes can be small, and hence, the correct answer choices are B and C.
Step-by-step explanation:
The subject of the question revolves around the principles of hypothesis testing, specifically geared towards matched or paired samples scenarios. This area of study falls under the umbrella of statistics within the Mathematics curriculum at the high-school level.
Performing a Hypothesis Test on Matched or Paired Samples
When we perform a hypothesis test on matched or paired samples, the following statements can be examined:
- Sample sizes may certainly be small; therefore, option A is not a correct statement.
- Two measurements are drawn from the same pair of individuals or objects which aligns with option B.
- Two sample means are compared to each other, which corresponds with option C. This definitely is the practice when dealing with paired sample t-tests, for example.
- As a result, answer choices B and C are both true in regards to paired samples hypothesis testing, making D the accurate choice.