To generate a random sample of 20 people from a list of 100, you will need to enter this expression into the TI calculator ________________.

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BlackTom AI · Accepted Answer

Question restatement: You need to generate a random sample of 20 people from a list of 100 using a TI calculator expression.

Option provided: randInt(1, 100, 20).

Analysis of the expression:
- The function randInt(min, max, n) on many TI calculators generates n random integers, each between the inclusive bounds min and max. Here, min = 1, max = 100, and n = 20. This directly corresponds to selecting 20 random items from positions 1 through 100, which is exactly what is meant by a random sample of size 20 from 100 items.
- The result will be 20 integers. If the goal is to select 20 unique items (a sample without replacement) rather than 20 draws with potential repetition, randInt as written may produce duplicates because each draw is independent. In that case, additional steps would be required to remove duplicates or to implement sampling without replacement.
- If there were other options, we would compare them by: whether the bounds cover 1 to 100, whether the third parameter is the sample size, and whether the function name implies randomness. However, since only randInt(1, 100, 20) is provided, there are no alternative expressions to evaluate.
- Practical considerations: ensure the calculator’s syntax matches this form (some TI models use RandInt with a capital R or different capitalization), and confirm that 20 samples are indeed integers in the 1–100 range representing positions or IDs.
- Intuition check: generating 20 numbers between 1 and 100 gives you 20 random selections, which aligns with the requirement of sampling 20 individuals from a list of 100, assuming duplicates are acceptable or duplicates will be handled later if a true unique sample is required.

In summary, randInt(1, 100, 20) is the standard TI-calculator expression to obtain 20 random selections from 1 to 100, aligning with the requested sample size and population size. If uniqueness is required without replacement, additional steps would be necessary to enforce non-duplication.

STAT 1450.02 SP2025 (28132) Checkpoint 8.3

To generate a random sample of 20 people from a list of 100, you will need to enter this expression into the TI calculator ________________.

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