Flashcard-Understanding Margin of Error and Confidence Intervals
Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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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
How is the sample mean related to a confidence interval?
Back
The sample mean is the midpoint of the confidence interval. It is calculated as the average of the lower and upper bounds of the interval.
Tags
CCSS.HSS.IC.B.4
3.
FLASHCARD QUESTION
Front
What is the formula for calculating the margin of error in a confidence interval?
Back
The margin of error is calculated as half the width of the confidence interval. It can be expressed as: Margin of Error = (Upper Limit - Lower Limit) / 2.
Tags
CCSS.HSS.IC.B.4
4.
FLASHCARD QUESTION
Front
If a confidence interval is (40, 60), what is the sample mean?
Back
The sample mean is 50, which is the midpoint of the interval.
5.
FLASHCARD QUESTION
Front
If a confidence interval is (40, 60), what is the margin of error?
Back
The margin of error is 10, calculated as (60 - 40) / 2.
Tags
CCSS.HSS.IC.B.4
6.
FLASHCARD QUESTION
Front
What does a wider confidence interval indicate about the margin of error?
Back
A wider confidence interval indicates a larger margin of error, suggesting greater uncertainty about the population parameter.
Tags
CCSS.HSS.IC.B.4
7.
FLASHCARD QUESTION
Front
What is the significance of the confidence level in a confidence interval?
Back
The confidence level represents the probability that the confidence interval contains the true population parameter. Common levels are 90%, 95%, and 99%.
Tags
CCSS.HSS.IC.B.4
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