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Confidence Interval with Means Review

Confidence Interval with Means Review

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSS.IC.B.4, HSS.IC.B.3

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

Show all answers

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.

Tags

CCSS.HSS.IC.B.4

2.

FLASHCARD QUESTION

Front

What does a 95% confidence interval mean?

Back

A 95% confidence interval means that if we were to take 100 different samples and compute a confidence interval for each sample, approximately 95 of the 100 confidence intervals will contain the true population mean.

Tags

CCSS.HSS.IC.B.4

3.

FLASHCARD QUESTION

Front

What is the formula for calculating a confidence interval for the mean?

Back

The formula is: CI = x̄ ± (z* * (σ/√n)), where x̄ is the sample mean, z* is the z-value for the desired confidence level, σ is the population standard deviation, and n is the sample size.

Tags

CCSS.HSS.IC.B.4

4.

FLASHCARD QUESTION

Front

What is the margin of error in a confidence interval?

Back

The margin of error is the amount added to and subtracted from the sample statistic to create the confidence interval. It reflects the uncertainty in the estimate.

Tags

CCSS.HSS.IC.B.4

5.

FLASHCARD QUESTION

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large, regardless of the shape of the population distribution.

6.

FLASHCARD QUESTION

Front

What is the significance of the sample size (n) in constructing confidence intervals?

Back

A larger sample size reduces the margin of error and results in a more precise confidence interval. It also allows the sampling distribution to approximate normality more closely.

Tags

CCSS.HSS.IC.B.4

7.

FLASHCARD QUESTION

Front

What is the relationship between confidence level and width of the confidence interval?

Back

As the confidence level increases, the width of the confidence interval also increases. This is because a higher confidence level requires a larger margin of error.

Tags

CCSS.HSS.IC.B.4

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