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AP STAT TEST FORMULAS
(I)
Descriptive Statistics
( II )
Probability
Var
If X has a binomial distribution with parameters n and p, then:
P(X=k)=
If is the mean of a random sample of size n from an infinite
population with mean µ and standard deviation σ, then:
( III )
Inferential Statistics
Standardized test statistic:
Confidence interval:
statistic ± ( critical value ) ( standard deviation of statistic )
Single-Sample
Statistic
Standard Deviation
of Statistic
Sample Mean
Sample Proportion
Two-Sample
Statistic
Standard Deviation
of Statistic
Difference of
sample means
Special case when
Difference of
sample proportions
Special case when p1 = p2
Chi-square test statistic =
AP STAT TEST FORMULAS NAME____________________________________________________
(I)
Descriptive Statistics
1. What does this
formula give us?
1.
2. What does this
formula give us?
3. What does this
formula give us?
2.
3.
4.
4. What do
represent?
(Name them.)
5. What do
5.
represent in
the context of
a problem?
6. What is r?
What are the two
quotients multiplied
together and summed up?
7. If you know r 2 how can you
determine if r is positive or negative?
8. What does this
formula give us?
8.
9. What is the
numerator? the
denominator?
9.
7.
6. r
quotients
10. When is “
”
10. Required:
required, and when is it optional?
Optional:
( II )
Probability
11. What does
11.
mean?
12. What is E ( X )?
13. What does the below give us?
12.
13.
Var
If X has a binomial distribution with parameters n and p, then:
P(X=k)=
14a. n:
14. Label what each of the variables
represent, and give the required conditions.
14b. Conditions:
1.
k:
2.
p:
:
3.
:
4.
:
15.
15. Label what each of
the variables represents.
:
:
If is the mean of a random sample of size n from an infinite
population with mean µ and standard deviation σ, then:
16. Label what each of
the variables represents.
16.
:
:
( III )
Inferential Statistics
Standardized test statistic:
Confidence interval:
17. Give the formula for
the CI when σ is unknown
for each of the following.
17a. Sample Mean
statistic ± ( critical value ) ( standard deviation of statistic )
Single-Sample
Statistic
Standard Deviation
of Statistic
18. Give the test statistic when σ is
unknown for each of the following.
18a. Sample Mean
Sample Mean
Sample
Proportion
18b. Sample Proportion
17b. Sample Proportion
Two-Sample
Statistic
17c. Diff of sample means
Standard Deviation
of Statistic
18c. Diff of sample means i
Difference of
sample
means
Special case when
18d. Diff of sample means ii
SHARKS!
STAY OUT OF THE POOL!
17d. Diff of sample proportions
Difference of
sample
proportions
18e. Diff of sample proportions
Special case when p1 = p2
Chi-square test statistic =
19. How do you find the
expected value?
19.
AP STAT TEST FORMULAS NAME____________________________________________________
(I)
Descriptive Statistics
1. What does this
formula give us?
1. The sample mean of a set of data.
2. What does this
formula give us?
2. The sample standard deviation of a set of data.
3. The sample standard deviation for a pooled set of data.
3. What does this
formula give us?
STAY AWAY!!!!
4.
4. What do
The predicted value of the response variable.
The y intercept of the Least Squares Regression Line.
represent?
(Name them.)
The slope of the LSRL.
5. What do
represent in
the context of
a problem?
5.
The value of the predicted response variable, when the
explanatory variable is 0.
The amount of increase in the predicted response variable, when the
explanatory variable increases by 1.
6. What is r?
What are the two
quotients multiplied
together and summed up?
7. If you know r 2 how can you
determine if r is positive or negative?
6. r
is the coefficient of correlation.
quotients
the z scores of the x and y variables.
7. You can tell by the slope of the line.
8. What does this
formula give us?
8. The estimated standard deviation of the slope of a LSRL
9. What is the
numerator? the
denominator?
9. Numerator: se = sqrt [ SSResid / ( n – 2 )]
Denominator: the sqrt of the sum of the squared means.
10. When is “
”
10. Required: When A and B are not mutually exclusive.
required, and when is it optional?
Optional:
( II )
When A and B are mutually exclusive.
Probability
11. What does
11. The probability of A, given that B has occurred.
mean?
12. The Expected value of a discrete random variable.
12. What is E ( X )?
13. What does the below give us?
13. The variance of a discrete random variable.
Var
If X has a binomial distribution with parameters n and p, then:
14. Label what each of the variables
represent, and give the required conditions.
14a. n: the number of
independent trials
k: the number of successes
P(X=k)=
p: the probability of success
: nCk
: the mean value of a binomial
14b. Conditions:
1. Fixed number of trials.
2. Each trial can result in 1 of 2 mutually
exclusive outcomes.
3. Outcomes are independent
4. Probability is the same for each trial
random variable
: the standard deviation of a binomial random variable
15.
15. Label what each of
the variables represents.
: the mean of the sampling distribution of sample proportions
: the standard deviation of the sampling distribution of sample proportions
If is the mean of a random sample of size n from an infinite
population with mean µ and standard deviation σ, then:
16. Label what each of
the variables represents.
16.
: the mean of the sampling distribution of x-bar
: the standard deviation of the sampling distribution of x=bar
( III )
Inferential Statistics
Standardized test statistic:
Confidence interval:
17. Give the formula for
the CI when σ is unknown
for each of the following.
17a. Sample Mean
statistic ± ( critical value ) ( standard deviation of statistic )
Single-Sample
Statistic
Standard Deviation
of Statistic
18. Give the test statistic when σ is
unknown for each of the following.
18a. Sample Mean
Sample Mean
Sample
Proportion
18b. Sample Proportion
17b. Sample Proportion
Two-Sample
Statistic
17c. Diff of sample means
Standard Deviation
of Statistic
18c. Diff of sample means i
Difference of
sample
means
Special case when
18d. Diff of sample means ii
SHARKS! STAY OUT OF THE POOL!
17d. Diff of sample proportions
Difference of
sample
proportions
18e. Diff of sample proportions
Special case when p1 = p2
Chi-square test statistic =
19. How do you find the
expected value?
19.