Confidence Interval Practice

Flashcard
•
Mathematics
•
12th 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 associated with a confidence level that quantifies the level of confidence that the parameter lies within the interval.
Tags
CCSS.HSS.IC.B.4
2.
FLASHCARD QUESTION
Front
What does the t* value represent in statistics?
Back
The t* value is a critical value from the t-distribution that is used in constructing confidence intervals, particularly when the sample size is small and the population standard deviation is unknown.
Tags
CCSS.HSS.IC.B.4
3.
FLASHCARD QUESTION
Front
How do you calculate the margin of error for a confidence interval?
Back
The margin of error is calculated by multiplying the critical value (z* or t*) by the standard error of the sample mean. The formula is: Margin of Error = Critical Value * Standard Error.
Tags
CCSS.HSS.IC.B.4
4.
FLASHCARD QUESTION
Front
What is the standard error of the mean?
Back
The standard error of the mean (SEM) is the standard deviation of the sampling distribution of the sample mean. It is calculated as the sample standard deviation divided by the square root of the sample size (n).
5.
FLASHCARD QUESTION
Front
What is the difference between a z-score and a t-score?
Back
A z-score is used when the population standard deviation is known and the sample size is large (n > 30), while a t-score is used when the population standard deviation is unknown and the sample size is small (n < 30).
6.
FLASHCARD QUESTION
Front
What is the critical value for a 99% confidence interval?
Back
The critical value for a 99% confidence interval can be found using the t-distribution or z-distribution tables. For a large sample size, the z-score is approximately 2.576.
7.
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.
Tags
CCSS.HSS.IC.B.4
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