Flashcard--Confidence Interval and Margin of Error

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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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.
Tags
CCSS.HSS.IC.B.4
2.
FLASHCARD QUESTION
Front
What does the margin of error represent in a confidence interval?
Back
The margin of error represents the maximum expected difference between the true population parameter and a sample estimate. It quantifies the uncertainty in the estimate.
Tags
CCSS.HSS.IC.B.4
3.
FLASHCARD QUESTION
Front
How is the margin of error calculated?
Back
The margin of error is calculated as the critical value (z* or t*) multiplied by the standard error of the sample mean.
Tags
CCSS.HSS.IC.B.4
4.
FLASHCARD QUESTION
Front
What is the relationship between sample size and margin of error?
Back
As the sample size increases, the margin of error decreases, leading to a more precise estimate of the population parameter.
Tags
CCSS.HSS.IC.B.4
5.
FLASHCARD QUESTION
Front
What effect does increasing the confidence level have on the width of a confidence interval?
Back
Increasing the confidence level results in a wider confidence interval, as it requires a larger margin of error to ensure that the true parameter is captured.
Tags
CCSS.HSS.IC.B.4
6.
FLASHCARD QUESTION
Front
If a confidence interval is (75, 85), what is the sample mean?
Back
The sample mean is the midpoint of the confidence interval, which is (75 + 85) / 2 = 80.
7.
FLASHCARD QUESTION
Front
What happens to the width of a confidence interval if the population standard deviation increases?
Back
If the population standard deviation increases, the width of the confidence interval also increases, assuming the sample size and confidence level remain constant.
Tags
CCSS.HSS.IC.B.4
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