Transcript Review - msmatthewsschs

Ready for the AP Test?
What are the different ways to graph data?
What must you always include when making a
histogram, boxplot, or scatterplot?
Describe the data:
4431 0 1
9999876655 0 6999
2100 1 0012444
1 578
2 001
2 67
3 0
3
4 0
4
Did you CUSS?
Did you compare or just describe each one?
Was your measure of center and spread resistant to
outliers?
How do you know if something is an outlier?
If you added a number to each set of data, what
summary data would change?
10
15
20
25
30
35
40
What if you multiplied?
45
50
55
60
65
70
Label A, B, and C as the mean, median, and mode.
How do you use z-scores to compare two sets of data?
Wechsler Adult Intelligence Scale (WAIS) scores for
young adults are N(110, 25). If someone’s score were
reported as the 90th percentile, about what score
would that individual have?
How do you describe scatterplots?
What does ‘r’ tell you?
What does ‘r2’ tell you?
What do you need residual plots for?
What is the equation of the least squares regression line that
describes the relationship between operating cost per hour and
number of passenger seats in the plane? Define any variables
used in this equation.
Which line is a better model, exponential or power?
What is the difference between an observation and
experiment?
What are the different types of experiments?
Stratified Random Sample - observation and experiment?
How do you chose an SRS?
Is Systematic Random Sampling a SRS?
What are the 5 key elements in designing an experiment?
What type of experiment is below?
Group 1
24
carrots
Random
Allocation
No fert.
Group 2
16g fert.
Group 3
32g fert.
Compare
size and
taste of
carrots
What type of experiment is below?
Dessert
20 women
Random
Assignment
compare
sleep
No Dessert patterns
Subjects
Dessert
20 men
Random
Assignment
No Dessert
compare
sleep
patterns
What is a sample space?
How do you check for independence?
Independent vs. disjoint
Suppose a computer company has manufacturing plants
in three states. 50% of their computers are
manufactured in California and 85% of these are
desktops, 30% of computers are manufactured in
Washington, and 40% of these are laptops, and 20% of
computers are manufactured in Oregon, and 40% of
these are desktops. All computers are first shipped to a
distribution site in Nebraska before being sent out to
stores. If you picked a computer at random from the
Nebraska distribution center, what is the probability
that it is a laptop?
CA
0.50
State
WA
0.30
OR
0.20
laptop 0.15
(.5.15) = 0.075
desktop 0.85
(.5.85) = 0.425
laptop 0.40
(.3.4) = 0.12
desktop 0.60 (.3.6) = 0.18
laptop 0.60
(.2.6) = 0.12
desktop 0.40
(.2.4) = 0.08
P(laptop) = 0.075 + 0.12 + 0.12 = 0.315
Find the expected value and the standard deviation.
X = net
$4,999 $49
$4
0
gain
Probability .000035 .00168 .0303 .242
-$1
.726
When subtracting two sets of data to form one, what
happens to their standard deviations?
What is a binomial setting?
How do you use your calculator for binomial?
What is a geometric setting?
A biologist is studying a new hybrid tomato. It is
known that the seeds of this hybrid tomato have
probability .30 of germinating. The biologist plants 7
seeds. What is the probability that less than 3 seeds will
germinate?
Suppose the proportion of people who own a pet in
Pleasant City is 0.87. If a person is chosen at random,
what is the probability of choosing a pet owner on the
3rd try? Before the 3rd try? How many people would
you expect to ask before finding a pet owner?
What is the difference between a parameter and a
statistic?
Describe the distribution for sample means.
Describe the distribution for sample proportions.
How do you know if the sample distribution is normal?
CLT vs. Rules of thumb
What does a confidence interval mean?
True or False: The interval will capture the true mean
95% of the time.
Z or T?
How do you know you can use the t-distribution?
Matched pairs vs. 2-sample T-interval
Margin of error vs. Standard Error
How do you know how many people to sample?
Women
Men
8
10.6
7.5
11.9
8.25
10.8
8.5
11.95
9
11
8.5
12
9.25
11.5
9.85
12
9.35
11.9
10.5
12
9.8
12.25
10.5
12.5
9.95
12.5
10.5
13
10
12.5
10.9
13.7
10
12.95
10.95
13.75
10
13.9
11
14.5
10.25
13.95
11
14.75
10.5
14.45
11.65
15
10.5
14.8
11.9
15.5
Subject
Pretest
Posttest
Subject
Pretest
Posttest
1
30
29
11
30
32
2
28
30
12
29
28
3
31
32
13
31
34
4
26
30
14
29
32
5
20
16
15
34
32
6
30
25
16
20
27
7
34
31
17
26
28
8
15
18
18
25
29
9
28
33
19
31
32
10
20
25
20
29
32
What is the formula for 1-prop Z-Interval?
How do you find how many people to survey if no
proportion is given?
How do you know if the proportion dist. is normal?
When do you reject the null?
What is a type I error? II? Power of the test?
Ho True
Type I Error
Reject Ho
Do not Reject
Ho
p=

Ho False

Power of the test
p=1–
Type II Error
p=
Note: You will never have to calculate 
How do you reduce a type II error?
Conditions for 2 Sample Proportion Test:
count of success in both samples
pˆ C 

count of individuals from both samples
SRS
Normality
n1 pˆ C  5
n1 1  pˆ C   5
Independence
n2 pˆ C  5
n2 1  pˆ C   5
N  10(n1 + n2)
The two samples are independent
x1  x2
n1  n2
What are the conditions of a chi-square distribution?
Homogeneity vs. Independence
Compare two or more populations on one categorical variable
Two categorical variables collected from a single population
The regression equation is
BAC = – 0.0127 + 0.0180 Beers LSRL
Predictor
Coef
StDev
Constant
– 0.0127 (y-int) 0.01264
Beers
0.017964 (slope) 0.002402
(SEb)
s = 0.02044
(standard
deviation of the
residuals)
R-sq = 80%
(correlation of
determination)
T
–1.00
7.48
(test
statistic)
P
0.332
0.000
(Prob,
2-tailed)
R-sq(adj) = 78.6%
Confidence Intervals for Regression Slope:
*
b  tn  2
 SEb 
Test Statistic:
b
t
SE b