Take advantage of an "aceable" exam! No matter what your grade was or what grade you're in, end strong! Don't blow this off! If you put in the effort you can definitely get an A or a B on this test! So do it!
To those of you who are exempt, congratulations on a great year of AP Stat! You should be super proud of yourself! You will definitely be missed in class though!
In case you lost your review packet, here's what's on our final! See you there!
I.
Format:
a.
100 Multiple Choice
II.
Practice
Questions (answers are shown in parentheses):
1. Students were asked for the
number of hours they spend listening to music in one 7-day week. Their responses
are shown below:
3, 0.5, 7, 10, 3.5, 4,
4, 5, 2, 2, 1, 0, 0.5,
6, 5
1. Calculate
each of the following:
a. Mean (3.57)
b. Standard
Deviation (2.76)
c. Sample Size
(15)
d. Median
(3.5)
e. Minimum (0)
f.
Maximum (10)
g. Range (10)
h. Q1/25th
Percentile (1)
i.
Q3/75th Percentile (5)
j.
Interquartile Range (4)
k. Mode (4, 2,
or 0.5)
l.
Type of Study (Experiment, Observational Study, or
Survey?)
m. What
percent of values fall below 6? (12/15 = 75%)
n. What
percent of values fall above 4? (5/15 = 33.33%)
o. Midrange
(5)
p. If each
number were tripled, the new median would be...(10.5)
q. If each
number were tripled, the new range would be…(30)
r. If we added
2 hours to each value above, the new median would be…(5.5)
s. If we added
2 hours to each value above, the new range would be…(10)
t.
What is the percentile for a student who listens to
3.5 hours of music? (7/15 = 46.67%)
2.
A spinner has four equal size sections, red, blue, yellow, and green. Each spin is independent of the next.
A spinner has four equal size sections, red, blue, yellow, and green. Each spin is independent of the next.
a. What is the
probability of spinning a red? (0.25)
b. What is the
probability of spinning 5 consecutive reds? (0.00098)
c. The
probability the spinner lands on a color is…(1)
d. The
probability the spinner lands on orange is…(0)
e. A person
spins and lands on blue 10 consecutive times. What is the probability the next
spin is also blue? (0.25)
f.
What is the probability of landing on blue or green?
(0.5)
g. What is the
probability the spinner does not land on green? (0.75)
3. General
Statistics Info…
a. List all
measures of center for quantitative data.
b. List all
measures of spread for quantitative data.
c. List all
descriptions of “shape” for a histogram of quantitative data.
d. If a
histogram is skewed left, how does the mean compare to the median?
e. If a
histogram is skewed right, how does the mean compare to the median?
f.
If a histogram is symmetric, how does the mean compare
to the median?
g. A p-value
of 0.000000019 would lead us to what conclusion? (reject the null hypothesis,
fail to reject, etc.)
h. A p-value
of 0.50 would lead us to what conclusion?
i.
What are the different types of samples?
j.
What are the (names of) statistical tests we’ve
investigated in class?
k. What is the
shape of a Normal model?
l.
What is the shape of the (Student’s) t-distribution?
Compare to the Normal model.
m. What is the shape of the Chi-Squared
distribution?
n. What types
of graphs are used for quantitative data?
o. What types
of graphs are used for categorical data?
p. What is the
Area Principle?
q. What are
the types of error? Define each.
r. What is correlation?
s. What values
can the correlation take on? (What are its max/min?)
4. The data set below shows the number of AP classes students
took (x) versus their class rank (y):
|
AP Classes
|
5
|
3
|
2
|
2
|
1
|
0
|
4
|
5
|
|
Rank
|
8
|
14
|
18
|
20
|
23
|
29
|
11
|
6
|
a. What is the
correlation for this data set? (-0.99)
b. What is the
slope of this regression? (-4.24)
c. What is the
y-intercept of this regression? (27.8)
d. What is the
value of the Coefficient of Determination? (98.27%)
e. Use the
equation of the LSRL to predict the class rank for a student who takes 6 AP
classes.
a. The student
with 6 AP classes had a class rank of 24. Find the residual for this
prediction.
5. Who are some statisticians we’ve come across (or maybe
didn’t…) throughout our course?
Additional Topics on the Final Exam:
·
Calculating a z-score
o Comparing
z-scores to see which is more “unusual”
o What is an
“unusual” z-score?
·
Estimate a correlation given a scatter plot
·
Describe the shape of a distribution given a graph
·
Know our tools for inference and what they are used
for
o We use
confidence intervals to estimate a parameter
o We use
hypothesis tests to determine if a parameter has significantly
increased/decreased/changed
·
Hypotheses…
o Which
hypothesis do we assume to be true?
o Which
hypothesis shows what we are trying to prove?
·
Bias…what is it?
·
Identify a method of data collection (from context)
o Simulations,
Surveys, Experiments, and Observational Studies
·
Find expected value given a probability distribution
·
Identify the sample size (n) given a context
·
Name different graphical displays and know which types
of data they are used for
·
Venn Diagram probability problems
o Suppose 40%
of students at a local school play soccer, 50% play basketball, and 25% play
both.
o What % play
only soccer? What % play only basketball? What % play basketball or soccer?
What % play neither sport?
·
Definitions of Type 1 and Type 2 Error
o Which is a
false positive? False negative?
·
Find the fences given the 5 number summary
o Use these
fences to determine if there are outliers in a data set
·
Know the 68/95/99.7 rule (also called the Empirical
rule)
o Draw/label
a Normal model using this rule
·
Know the general process for a confidence interval or
hypothesis test
o Confidence
Interval: conditions, math/formula, interpret
o Hypothesis
Test: hypotheses, conditions, math (z or t score, p-value), conclusion
·
P-Values
o What do we
use them for?
o If the
p-value is below alpha….
o If the
p-value is great than alpha…
o If we
reject the null, there _________ evidence of the Ha (is or is not?)
o If we fail
to reject the null, there ) _________ evidence of the Ha (is or is not?)
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