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AP Statistics
Name____________________________________________
AP Test Preparation: Chapters 1-3
Mr. Dooley
1.) Which of the following statistics are resistant to outliers and which are not?
Mean, median, mode, standard deviation, IQR, range, min, max, Q1, Q3
2.) Explain why the standard deviation is referred to as a “mean based statistic.”
3.) What notation do we use for the sample mean and sample standard deviation?
4.) What notation do we use for the population mean and population standard deviation?
5.) How do you find the IQR?
6.) How do you determine if a set of data has an outlier?
7.) What 5 statistics make up the boxplot?
8.) Can you determine if a data set is normal by looking at a boxplot? Why or Why not.
9.) Can you determine if a data set is normal by looking at a histogram? Why or Why not.
10.) When describing a set of data which 3 or 4 characteristics must you address?
11.) If a constant k is added to each observation in a data set, what happens to the mean, median, standard
deviation and IQR?
12.) If each observation in a data set is multiplied by a constant k, what happens to the mean, median,
standard deviation and IQR?
13.) What is the z-score formula?
14.) An observation from a large set of data has a z-score of -0.87. Interpret that value.
15.) Explain what the 68-95-99.7 rule is.
16.) What is the area under a density curve?
17.) What role does a Normal Probability plot play?
18.) What does LSRL stand for?
19.) What significance does the hat on
have?
20.) Explain extrapolation
21.) Explain what an outlier is and an influential point is.
22.) When attempting to describe a scatterplot, what 3 things should you address?
23.) What does correlation (r) measure?
24.) What is the coefficient of determination (
?
25.) What is a lurking variable?
26.) What is a residual and what is the formula for finding a residual?
AP Statistics
Name____________________________________________
AP Test Preparation: Chapters 4-6
Mr. Dooley
1.) What is Simpson’s paradox?
2.) How do we show that x causes y?
3.) Suppose there is a strong linear relationship between x and y. What would the residual plot of x and
the residuals look like?
4.) Suppose there is a strong non-linear relationship (curved) between x and y. What would the residual
plot of x and the residuals look like?
5.) What is sampling bias?
6.) Describe the differences and similarities between stratified and cluster sampling.
7.) What does SRS stand for? What makes a sample an SRS?
8.) What is double-blind? When would you use it?
9.) What is the placebo effect?
10.) Explain a situation where you would use a block deign for an experiment rather than the completely
randomized design.
11.) Draw a venn diagram showing mutually exclusive events A and B
12.) Draw a venn diagram showing non-mutually exclusive events.
13.) How do you prove that 2 events are independent?
AP Statistics
Name____________________________________________
AP Test Preparation
Chapter 7: Random Variable
Chapter 8: Binomial and Geometric Distributions
Mr. Dooley
1.) What is the difference between discrete and continuous variables?
2.) What are the rules for means and variances?
3.) Rotter Partners is planning a major investment. The amount of profit X is uncertain, but a
probabilistic estimate gives the following distribution (in millions of dollars):
Profit
Probability
1
0.1
1.5
0.2
(a) Find the mean profit
2
0.4
4
0.2
10
0.1
and the standard deviation of the profit.
(b) Rotter Partners owes its source of capital a fee of $200,000 plus 10% of the profits X. So the firm
actually retains
0.9
0.2
From the investment. Find the mean and standard deviation of Y.
4.) A two-part flagpole assembly is manufactured in a factory in Oregon. The lengths of the pole and
knob vary from part to part in production, independently of each other and with Normal distributions.
The pole length X has mean of 60 inches and a standard deviation of 0.54 inches. The knob length Y has
a mean of 6 inches with a standard deviation of 0.22 inches.
(a) What is the probability that a randomly selected pole will be greater than 61 inches long?
(b) What is the probability that the knob will be greater than 6.5 inches in length?
(c) What is the probability that the entire assembly (X + Y) will be greater than 67.5 inches?
5.) What are the four conditions for a binomial setting?
6.) Twenty percent of American households own three or more motor vehicles. You choose 12
households at random.
(a) What is the probability that none of the chosen households owns three or more vehicles?
(b) What is the probability that at least one household owns three or more vehicles.
(c) What are the mean and standard deviation of the number of households in your sample that own three
or more vehicles?
(d) What is the probability that the sample count is greater than the mean?
7.) What are the four conditions for a geometric setting?
8.) Suppose that Mr. Record, who is a world champion corn-hole player, can score a corn-hole on 19% of
his tosses.
(a) What is the probability that Mr. Record gets his first corn-hole on his first toss?
(b) What is the probability that it will take him at most 3 tosses to get his first corn-hole?
(c) What is the probability it will take him more than 5 tosses to get his first corn-hole?
AP Statistics
Name____________________________________________
AP Test Preparation
Chapter 9: Sampling Distributions
Chapter 10: Estimating with Confidence
Mr. Dooley
1.) What is the difference between a parameter and a statistic?
2.) What is the notation we use for a sample mean, sample standard deviation and sample proportion?
3.) What is the notation we use for a population mean, population standard deviation and population
proportion?
4.) The variability of a statistic is controlled by the size of the sample. Statistics from larger samples are
______________ variable.
5.) Suppose we have a sampling distribution of a sample proportion ̂ for an SRS of size n from a
population having population proportion . What is the mean and standard deviation of this sampling
distribution?
6.) The spread of the sampling distribution of ̂ gets ________________ as the sample size n gets larger.
7.) The spread of the sampling distribution of ̅ gets ________________ as the sample size n gets larger.
8.) Suppose we have a sampling distribution of a sample mean ̅ for an SRS of size n from a population
having population mean µ and population standard deviation σ. What is the mean and standard deviation
of this sampling distribution?
9.) Suppose we have a sampling distribution of a sample mean ̅ for an SRS of size n from a population
having population mean µ and population standard deviation σ. If n is large (let’s say > 30), what will be
the shape of the sampling distribution?
10.) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study
of the health of such children in later years examined a random sample of 219 children. Their mean
weight at birth was ̅ 810 grams.
(a) This sample mean is an unbiased estimator of the mean weight µ in the population of all ELBW
babies. Explain in simple terms what this means.
(b) Do you think the population distribution of birth weights among ELBW babies is roughly normal or
skewed? Explain why.
(c) Do you think the distribution of mean birth weights ̅ in samples of 219 ELBW babies is roughly
normal or skewed? Explain why.
11.) In a random sample of 303 high school senior boys, 44 of them answered “yes” when asked if they
would be taking a steady girlfriend to the prom. What is the value of ̂ ?
12.) 73% of Americans prefer chocolate milk to regular milk when eating breakfast. Suppose a random
sample of 120 Americans is taken. What is the probability that less than 80 will prefer chocolate milk?
13.) Write the formula for a confidence interval in words.
14.) What gives you a larger margin of error, raising the confidence level or lowering it?
15.) What gives you a larger margin of error, increasing the sample size or decreasing it?
16.) What are the conditions for a z confidence interval to estimate a population proportion?
17.) What are the conditions for a t confidence interval to estimate a population mean?
18.) What does it mean when we say the t interval is robust against lack of Normality but is influenced by
outliers?
19.) Find the appropriate critical value:
∗
∗
∗
∗
90% confidence
98% confidence
95% confidence 17 degrees of freedom
99% confidence 22 degrees of freedom
AP Statistics
Name____________________________________________
AP Test Preparation
Chapter 11: Testing a Claim
Chapter 12: Significance Tests in Practice
Chapter 13: Comparing Two Population Parameters
Mr. Dooley
1.) What is the notation for the null and alternative hypothesis?
2.) Does an inference procedure test a parameter or a statistic?
3.) What does a p-value represent?
4.) What is the difference between a one-tailed test and a two-tailed test?
5.) What is an
level and what is its role in hypothesis testing?
6.) Explain what Type I and Type II errors are.
7.) What are the conditions for a 1-sample t test for a mean?
8.) What are the conditions for a 1-sample z test for a proportion?
9.) If the Normality condition for a t test was not met, it might still be appropriate to continue with the
test because “t procedures are quite robust against lack of Normality.” When is it risky to use the t
procedures (test or confidence interval)?
10.) Give an example of a scenario that would require you to perform a matched pairs t hypothesis test.
11.) What is the appropriate null hypothesis notation for a 2-sample t test comparing two means?
12.) What is the appropriate null hypothesis notation for a 2-sample z test comparing two proportions?
13.) How do you calculate a pooled (combined) proportion and do you use it in the standard error for a
confidence interval or hypothesis test or both?
14.) When either constructing a confidence interval for the difference in two population proportions or
performing a hypothesis test for two proportions, you must check for Normality. What are the normality
conditions for both the confidence interval and hypothesis test?
15.) What formula do we use to calculate the standard error (SE) when constructing a 2-sample z
confidence interval? How about a 2-sample t confidence interval?
16.) What formula do we use to calculate the standard error (SE) when performing a 2-sample z
hypothesis test? How about a 2-sample t hypothesis test?
AP Statistics
Name____________________________________________
AP Test Preparation
Chapter 14: Chi-Square Procedures
Chapter 15: Inference for Regression
Mr. Dooley
1.) What is the Null hypothesis if we are performing a Chi-Square Goodness of Fit test?
2.) What is the Null hypothesis if we are performing a Chi-Square test for Homogeneity?
3.) What is the Null hypothesis if we are performing a Chi-Square test for Association/Independence?
4.) How do you find the expected counts in a Goodness of Fit test?
5.) How do you find the expected counts in a two-way table?
6.) How do you calculate the degrees of freedom for a Chi-Square test that uses a 2-way table?
7.) How do you calculate the degrees of freedom that uses a 1-way table?
8.) How do you calculate a Chi-Square statistic?
9.) What type of graph do you use to show the relationship between an explanatory and response
variable?
10.) What graph is used to check the conditions for a hypothesis test or confidence interval for the slope
of the LSRL?
11.) What are we looking for in a residual plot?
12.) Use the regression output below to answer the following questions
(a) What is the slope of the LSRL?
(b) What is the y-intercept of the LSRL?
(c) Construct a confidence interval to estimate the true slope
observations.
of the true LSRL. Assume there are 20
(d) What is the value of the correlation coefficient (r)?
(e) If performing a hypothesis test for
p-value?
:
0 versus
:
0, what would be the t-statistic and the