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Miguel put the names of all the cities in the state into a jar. Then, he drew $7$ names out of the jar. $\newline$ Is this a random sample of the cities in the state? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify representative, random, and biased samples

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Q. Miguel put the names of all the cities in the state into a jar. Then, he drew

7

names out of the jar.

\newline

Is this a random sample of the cities in the state?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the problem: Step $1$ : Understand the problem. $\newline$ Miguel put the names of all the cities in the state into a jar and drew $7$ names. We need to determine if this is a random sample of the cities.
Define random sample: Step $2$ : Define a random sample. $\newline$ A random sample means each item has an equal chance of being selected. Since Miguel drew from all names in the jar without any bias, it suggests randomness.
Analyze drawing method: Step $3$ : Analyze the method of drawing. $\newline$ Drawing names from a jar without replacing them or any preference implies that each draw is random and independent.
Conclusion: Step $4$ : Conclusion based on the method. $\newline$ Since the method used by Miguel allows every city an equal chance of being selected, the sample can be considered random.

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