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WorksheetsAP Statistics Review Chapters 1-4 and 6
Total questions: 50
Worksheet time: 2hrs 10mins
Name
Class
Date
1.
Categorical or Quantitative?
Years of schooling completed
Years of schooling completed
a)
Categorical
b)
Quantitative
2.
Categorical or Quantitative?
College Major
College Major
a)
Categorical
b)
Quantitative
3.
Is the information collected during the survey numerical or categorical data?
a)
Numerical data. I know this because the y-axis is labeled with numbers.
b)
Numerical data. I know this because the surveyor counted how many people that they surveyed.
c)
Categorical data. I know this because the responses to the survey are names.
d)
Categorical data. I know this because each column is a different color.
4.
Third Quartile is
a)
a measure used to describe the distribution of data.
b)
also called the upper quartile.
c)
also called the lower quartile.
d)
the sum of the numbers in a set of data divided by the number of pieces of data.
5.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
6.
What is the upper quartile (Q3) of the data set?
a)
50
b)
35
c)
30
d)
25
7.
Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?
a)
0.83
b)
5
c)
-0.83
d)
-5
8.
What does a z-score of 0 mean?
a)
The score is equal to the mean.
b)
The score is 0 points.
c)
There is no data.
d)
You can't tell unless you know the data is normal.
9.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
a)
82
b)
88
c)
100
d)
118
10.
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
11.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
12.
Which is the symbol for sample mean?
a)
x̄
b)
μ
c)
n
d)
Σ
13.
Which is the symbol for population mean?
a)
x̄
b)
μ
c)
n
d)
Σ
14.
Which is the symbol for sample standard deviation?
a)
s2
b)
s
c)
σ
d)
μ
15.
Which is the symbol for population variance?
a)
μ
b)
s2
c)
ΣX
d)
σ2
16.
Which is the sum of the squares of each data value?
a)
(ΣX)2
b)
ΣX2
c)
Σ(x-μ)2
d)
n(n-1)
17.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
18.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
19.
Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8). Pat scores a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris?
a)
26.8%
b)
96%
c)
65.1%
d)
4%
20.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
21.
Find the area below a z-score of 1.25.
a)
0.89
b)
0.01
c)
0.79
d)
0.12
22.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
23.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
24.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
25.
What is an outlier?
a)
A data point that cannot be explained
b)
A data point that is normal
c)
A data point that does not fit the overall pattern
d)
A data point that has eaten too much ice cream
26.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
27.
What kind of trend is shown from this scatterplot?
a)
positive correlation
b)
negative correlation
c)
none
d)
cannot be determind
28.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
29.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
30.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.98 weak
b)
0.99 moderate
c)
0.99 strong
d)
0.98 strong
31.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.48 weak
b)
0.69 moderate
c)
0.48 moderate
d)
0.69 strong
32.
What should a residual plot look like?
a)
Distinct Pattern
b)
Curve
c)
Random
33.
Residuals are . . .
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
34.
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
a)
YES
b)
NO
35.
Estimate the correlation coefficient.
a)
r = -0.8
b)
r = -0.5
c)
r = 0.5
d)
r = 0.8
36.
The correlation coefficient r is a value between
a)
0 and 1
b)
0 and 100
c)
-1 and 1
d)
-2 and 2
37.
How do you calculate a residual?
a)
Actual - Predicted
b)
Predicted - Actual
38.
Can pleasant aromas help a student learn better? Two researchers believed that the presence of a floral scent could improve a person's learning ability in certain situations. They had 22 people work through a pencil-and-paper maze 6 times. Three of the times they wore a floral-scented mask and three times they wore an unscented mask. The three trials for each mask followed one another. Testers measures the length of time it took subjects to complete each of the six trials. They reported that, on average, subjects wearing the floral-scented mask completed the maze more quickly that those wearing the unscented mask, although, the difference was not statistically significant. This study is:
a)
a convenience sample
b)
an oberservational study
c)
an experiment, but not double-blind
d)
a double-blind experiment
39.
A marketing research firm wished to determine if the adult men in Laramie, Wyoming, would be interested in a new upscale men's clothing store. From a list of all residential addresses in Laramie, the first selects a simple random sample of 100 and mails a brief questionnaire to each. The population of interest is
a)
all adult men in Laramie, WY
b)
all residential addresses in Laramie, WY
c)
the members of the marking firm conducting the survey
d)
the 100 addresses to which the survey was mailed
40.
You are testing a new medication for relief of depression. You are going to give the new medication to subjects suffering from depression and see if their symptoms have lessened after a month. You have eight subjects available. Half of the subjects are to be given the new medication and the other half a placebo. The names of the eight subjects are given below.
1. Blumenthal 2. Costello 3. Duvall 4. Fan
5. House 6. Long 7. Pavlicova 8. Tang
Using the list of random digits
81507 27102 56027 55892 33063 41842
81868 71035 09001 43367 49497
starting at the beginning of this list and using single-digit labels, you assign the first four subjects selected to receive the new medication, while the remainder receive the placebo. The subjects assigned to the placebo are
1. Blumenthal 2. Costello 3. Duvall 4. Fan
5. House 6. Long 7. Pavlicova 8. Tang
Using the list of random digits
81507 27102 56027 55892 33063 41842
81868 71035 09001 43367 49497
starting at the beginning of this list and using single-digit labels, you assign the first four subjects selected to receive the new medication, while the remainder receive the placebo. The subjects assigned to the placebo are
a)
Blumenthal, Costello, Duvall, and Fan.
b)
Blumenthal, House, Pavlicova, and Tang
c)
House, Long, Pavlicova, Costello, Duvall, Fan, and Long
d)
Costello, House, Duvall and Long
41.
Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
42.
Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
43.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
44.
An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)
a)
0.962
b)
0.132
c)
0.831
d)
0.250
45.
8. An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?
a)
0.2373
b)
0.3955
c)
0.7627
d)
0.6045
46.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood?
a)
9.1 donors
b)
8.5 donors
c)
10.3 donors
d)
Cannot be determined.
47.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?
a)
approximately 0.00
b)
0.316
c)
0.0385
d)
0.279
48.
Which of the following is true about geometric distributions?
a)
Geometric distributions are approximately skewed right.
b)
Geometric distributions are approximately symmetric.
c)
Geometric distributions are approximately skewed left.
d)
The shape could be symmetric or skewed.
49.
At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. Find the probability that out of the next eight eastbound cars that arrive randomly at the light,exactly three will be stopped by a red light.
a)
0.254
b)
0.147
c)
0.027
d)
0.1940
50.
A set of 20 cards consists of 10 purple cards and 10 green cards. If you turn cards over one at a time after shuffling them and wait until you get your first purple, what distribution is it
a)
binomial, n= 20 and p= .5
b)
geometric p= .5
c)
none- same probability isn't happening each time
d)
normal distribution
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