What is the effect of increasing the sample size on the margin of error in statistical analysis?
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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Increasing the sample size decreases the margin of error, leading to more accurate estimates.
2.
FLASHCARD QUESTION
Front
Define stratified sampling in research. How is it different from other sampling techniques?
Back
Stratified sampling involves dividing a population into subgroups (strata) and sampling from each stratum. It ensures representation from all groups, unlike convenience or cluster sampling.
3.
FLASHCARD QUESTION
Front
What is a piecewise-defined function? Provide an example.
Back
A piecewise-defined function is a function defined by multiple sub-functions, each applying to a specific interval. Example: f(x) = { x^2 for x < 0; 2x + 1 for x >= 0 }.
4.
FLASHCARD QUESTION
Front
How do you find the center of a circle given its general equation?
Back
The center of a circle in the form (x - h)^2 + (y - k)^2 = r^2 is (h, k). For the equation x^2 + y^2 + 14x - 12y + 49 = 0, the center is (-7, 6).
5.
FLASHCARD QUESTION
Front
What is the process for solving an equation for x?
Back
To solve for x, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.
6.
FLASHCARD QUESTION
Front
What is the definition of margin of error in statistics?
Back
Margin of error is a measure of the uncertainty in a survey's results, indicating the range within which the true value is expected to lie.
7.
FLASHCARD QUESTION
Front
Explain the concept of systematic sampling.
Back
Systematic sampling involves selecting every nth individual from a list or sequence, ensuring a spread across the population.
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