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

Understand the problem: Step 1: Understand the problem. 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. 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. 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. Since the method used by Miguel allows every city an equal chance of being selected, the sample can be considered random.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Grade 7

Identify representative, random, and biased samples

Full solution

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.