Functions
It is a variable that stands alone and isn't changed by the other variables you are trying to measure.
Independent Variable
What do you call a declarative sentence that is either true or false, but not both?
Proposition
What are the three measures of central tendency that are equal in a normal distribution?
Mean, median, and mode
According to the CLT, what happens to the shape of the sampling distribution as n increases?
It approaches a normal distribution
What must the sum of all probabilities in a probability distribution equal?
1
In a function, this is the set of all values that the variable x can take.
Domain
Determine the truth value of: “2.5 is an integer.”
False
Is the normal distribution skewed or symmetric?
Symmetric
What happens to the spread (standard deviation) of the sampling distribution as sample size increases?
It decreases
Is the height of a student a discrete or continuous random variable?
Continuous
Solve the following:
Given:
f(x) = x2-11x + 27
g(x) = x2 – 24
(f+g)(x)
(f+g)(x) = 2x2 - 11x + 3
How many simple propositions are in:
“Either logic is fun and interesting, or it is boring.”
Three
What percentage of data lies within 1 standard deviation of the mean?
68%
If samples are repeatedly taken, what distribution is formed by the sample means?
Sampling distribution of the mean
Why is the following not a valid probability distribution?
X: 1, 2, 3
P(X): 0.3, 0.4, 0.5
The sum of probabilities is greater than 1
Simplify the logarithmic:
log x + log y
log x + log y = log(xy)
When is a conditional p → q false?
When p is true and q is false
If a z-score is positive, where is the value located relative to the mean?
Above the mean
Which distribution is commonly used to approximate probabilities for sample means under the CLT?
Normal distribution
If a random variable represents distance traveled, should it be discrete or continuous? Why?
Continuous, because it can take any real value
Solve the following:
Given:
f(x) = 3x + 2
g(x) = x + 5
(f(g(x))
3x + 17
Write the contrapositive of:
“If you study hard, then you will get good grades.”
If you do not get good grades, then you did not study hard.
A test has μ = 75 and σ = 5.
What percentage of students scored between 70 and 80? (approximation)
About 68%
A population has mean μ = 50 and σ = 8.
If n = 64, what is the mean and standard deviation of the sampling distribution?
Mean = 50, Standard deviation = 1
A probability distribution has one outcome with probability 1. What does this tell you about the experiment?
The outcome is certain