|
Regression slope intervals
|
For example, are the conditions for a regression slope confidence interval met?
|
|
Regression slope test
|
For example, interpret the p-value that comes from a regression slope test.
|
|
Sampling distributions
|
For example, find the mean and standard deviation of 100 randomly selected babies from a population normally distributed with a mean of 7.5 pounds and standard deviation of 1.25 pounds.
|
|
Skill check: Defining the derivative
|
Check your understanding of approximating, visualizing and interpreting the tangent line of a graph.
|
|
Skill check: Tangents, motion, and critical points
|
Test your ability to find the equation of a tangent line, analyze motion along a line, and find critical points
|
|
Density curves and the normal distribution
|
For example, what is the area above z = 1.36 on on the standard normal distribution.
|
|
Transforming and combining random variables
|
For example, find the variance of the difference between the running times of two students selected from a population with mean 8 minutes and standard deviation 50 seconds.
|
|
Two sample intervals for proportions
|
For example, if a professor wants a 90% confidence interval with a margin of error no more than 0.08, how large should his sample be?
|
|
Two sample tests for proportions
|
For example, given a context, what is the correct interpretation of the p-value?
|
|
Two sample tests for means
|
For example, when do you need to check sample distribution for skewness or outliers before running a two-sample test about the mean?
|
|
Skill check: Visualizing multivariable functions
|
Test your ability to recognize functions based on various different ways to visualize them
|
|
Discrete random variables
|
For example, find the standard deviation of a random variable given it's probability distribution.
|
|
Probability rules
|
For example, given a few probability distributions, which one does not violate any of the probability rules?
|
|
Solve for t
|
Practice solving for t
|
|
Compare fractions with the same numerator or denominator
|
Compare two fractions that have either the same numerator or denominator.
|
|
Special derivatives quiz
|
Test how well you know the derivatives of several common functions.
|
|
Subdivision
|
Understanding how the subdivision algorithm works
|
|
Tangents to polar curves
|
Practice tangent lines of functions defined with polar coordinates.
|
|
Taylor, Maclaurin, & Power series challenge
|
Review your understanding of the function approximation series (Taylor, Maclaurin, and Power series) with some challenging problems.
|
|
Taylor polynomial approximation
|
Determine the least degree of a Taylor polynomial necessary to approximate a function within a certain bound.
|
