What is a confidence interval?
Confidence Interval Review

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 expressed with a certain level of confidence, such as 90% or 95%.
2.
FLASHCARD QUESTION
Front
How do you interpret a 90% confidence interval?
Back
A 90% confidence interval means that if we were to take many samples and construct a confidence interval from each sample, approximately 90% of those intervals would contain the true population parameter.
3.
FLASHCARD QUESTION
Front
What is the formula for calculating a confidence interval for a population mean?
Back
The formula is: CI = x̄ ± z*(σ/√n), where x̄ is the sample mean, z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
4.
FLASHCARD QUESTION
Front
What is the z-score for a 90% confidence level?
Back
The z-score for a 90% confidence level is 1.64.
5.
FLASHCARD QUESTION
Front
What is the margin of error in a confidence interval?
Back
The margin of error is the amount added and subtracted from the sample statistic to create the confidence interval. It reflects the uncertainty associated with the sample estimate.
6.
FLASHCARD QUESTION
Front
How do you calculate the margin of error for a confidence interval?
Back
The margin of error is calculated as: ME = z*(σ/√n), where z is the z-score for the desired confidence level, σ is the standard deviation, and n is the sample size.
7.
FLASHCARD QUESTION
Front
What is the standard deviation's role in constructing a confidence interval?
Back
The standard deviation measures the variability of the sample data. It is used to determine the margin of error and thus affects the width of the confidence interval.
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