Confidence Intervals

Confidence Intervals

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from a sample, that is likely to contain the population parameter with a specified level of confidence.

2.

FLASHCARD QUESTION

Front

What does the margin of error represent in a confidence interval?

Back

The margin of error is the amount of error that is allowed in the estimate of the population parameter, indicating the range of uncertainty around the sample estimate.

3.

FLASHCARD QUESTION

Front

How does sample size affect the margin of error?

Back

As the sample size increases, the margin of error decreases, leading to a more precise estimate of the population parameter.

4.

FLASHCARD QUESTION

Front

What is the formula for calculating the margin of error for a confidence interval?

Back

Margin of Error = Z * (σ/√n), where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

5.

FLASHCARD QUESTION

Front

What is the Z-score for a 99% confidence level?

Back

The Z-score for a 99% confidence level is approximately 2.576.

6.

FLASHCARD QUESTION

Front

True or False: A larger confidence interval indicates a higher level of confidence.

Back

True.

7.

FLASHCARD QUESTION

Front

What is the point estimate in a confidence interval?

Back

The point estimate is the single best estimate of the population parameter, typically the sample mean.

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