Suppose the state decides to randomly test high school wrestlers for steroid use. There are 16 teams in the league, and each team has 20 wrestlers. State investigators plan to test 32 of these athletes by randomly choosing two wrestlers from each team. Is this a simple random sample?

A. Yes, because the wrestlers were chosen at random.
B. No, because not all possible groups of 32 wrestlers could have been the sample.
C. Yes, because stratified samples are a type of simple random sample.
D. No, because a random sample of teams was not first chosen.
E. Yes, because each wrestler is equally likely to be chosen.

Question

08-08-2024
Mathematics

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Suppose the state decides to randomly test high school wrestlers for steroid use. There are 16 teams in the league, and each team has 20 wrestlers. State investigators plan to test 32 of these athletes by randomly choosing two wrestlers from each team. Is this a simple random sample?

A. Yes, because the wrestlers were chosen at random.
B. No, because not all possible groups of 32 wrestlers could have been the sample.
C. Yes, because stratified samples are a type of simple random sample.
D. No, because a random sample of teams was not first chosen.
E. Yes, because each wrestler is equally likely to be chosen.

Sagot :

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GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-08-08T10:36:03-04:00

Final answer:

The sampling method described is a stratified sample, not a simple random sample.

Explanation:

No, this is not a simple random sample. The sampling method described involves selecting specific groups from different age ranges to form the team, which makes it a stratified sample. Each age group is treated as a separate stratum, and members within each group are then selected.

Learn more about Types of Sampling here:

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Final answer:

Explanation:

Learn more about Types of Sampling here:

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