Confidence Intervals Flashcard

Confidence Intervals Flashcard

Assessment

Flashcard

Mathematics

11th - 12th 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 data set, that is likely to contain the value of an unknown population parameter. It is used to estimate the uncertainty around a sample statistic.

2.

FLASHCARD QUESTION

Front

How do you calculate a confidence interval for a population mean?

Back

To calculate a confidence interval for a population mean, use the formula: CI = x̄ ± (z* or t*) * (σ/√n), where x̄ is the sample mean, z* or t* is the critical value, σ is the standard deviation, and n is the sample size.

3.

FLASHCARD QUESTION

Front

What does the term 'degrees of freedom' refer to in statistics?

Back

Degrees of freedom refer to the number of independent values or quantities which can be assigned to a statistical distribution. For a sample, it is typically calculated as n - 1, where n is the sample size.

4.

FLASHCARD QUESTION

Front

What happens to the width of a confidence interval when the confidence level increases?

Back

When the confidence level increases, the confidence interval becomes wider. This is because a higher confidence level requires a larger margin of error to ensure that the true population parameter is captured.

5.

FLASHCARD QUESTION

Front

What is the critical value for a 90% confidence level with a sample size of 15?

Back

The critical value (t) for a 90% confidence level with a sample size of 15 is approximately 1.761.

6.

FLASHCARD QUESTION

Front

What is the standard deviation and why is it important in statistics?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. It is important because it provides insight into the reliability and variability of the data.

7.

FLASHCARD QUESTION

Front

How does sample size affect the confidence interval?

Back

As the sample size increases, the width of the confidence interval decreases, leading to a more precise estimate of the population parameter.

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