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WorksheetsAP Stats Semester 1 Review
Total questions: 75
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.
Which of the following is an example of categorical data?
a)
High School Graduate or Not
b)
Annual Income
c)
Years of Schooling Completed
d)
Years of playing an instrument
4.
Which of the following is an example of quantitative data?
a)
The color of your car
b)
A person's state of residence
c)
A person's Zip Code
d)
A Person's Height
5.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
6.
7. What is Millersburg's Q3 value?
a)
200
b)
260
c)
220
d)
140
7.
What is the range in gas mileage for cars?
a)
2
b)
3
c)
4
d)
6
8.
Are these dot plots symmetric?
a)
Yes
b)
No
9.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
10.
What association is apparent?
a)
No Association
b)
High proportion of people who have pizza also have soda.
c)
Boys like pizza better.
d)
More people buy hot dogs than pizza.
11.
Compare the mean and the median in this graph.
a)
Mean = Median
b)
Mean > Median
c)
Mean < Median
d)
There is no way to tell.
12.
Some IQ tests are standardized to a Normal model, with a mean of 100 and a standard deviation of 16. What percent of people have IQ scores between 84 and 116?
a)
34%
b)
68%
c)
95%
d)
47.5%
13.
What is the area under the curve between z = 0 and z = 1.45?
a)
.9265
b)
.4265
c)
.4500
d)
.5000
14.
In a normal distribution find P(-1.2 < Z < 0.64)
a)
.0227
b)
.6238
c)
.5467
d)
.7135
15.
The GPA of students in a course at UC Davis is approximately normal with a mean of 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?
a)
81.5%
b)
47.5%
c)
68%
d)
Cannot be determined
16.
Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?
a)
They're the same, both 62 inches.
b)
Anna, she's taller than more people.
c)
Brother, he's taller than more people.
d)
You can't tell if you don't know the mean and standard deviation.
17.
A machine produces electrical components.
99.7% of the components have lengths between 1.176 cm and 1.224 cm.
Assuming this data is normally distributed, what are the mean and standard deviation?
99.7% of the components have lengths between 1.176 cm and 1.224 cm.
Assuming this data is normally distributed, what are the mean and standard deviation?
a)
Mean = 1.210 cm
S.D. = 0.008 cm
S.D. = 0.008 cm
b)
Mean = 1.200 cm
S.D. = 0.004 cm
S.D. = 0.004 cm
c)
Mean = 1.190 cm
S.D. = 0.008 cm
S.D. = 0.008 cm
d)
Mean = 1.200 cm
S.D. = 0.008 cm
S.D. = 0.008 cm
18.
It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens?
a)
.961
b)
.118
c)
.882
d)
.039
19.
You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over 7 or more pedestrians?
a)
0.98
b)
0.02
c)
0.95
d)
0.05
20.
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 10 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
21.
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
22.
How can we tell who "did better" between someone who got a 31 on the ACT and someone who got 1400 on the SAT?
a)
Random guess?
b)
1400 is higher so it's better
c)
Find the Z-scores!
d)
Flip a coin?
23.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
24.
Victor picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
25.
The outcome of one event does influence the outcome of the other event.
a)
mutually exclusive event
b)
probability
c)
dependent event
d)
simple probability
26.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
27.
A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?
a)
These two events are mutually exclusive and independent.
b)
These two events are mutually exclusive, but not independent.
c)
These two events are not mutually exclusive, but they are independent.
d)
These two events are neither mutually exclusive nor independent.
28.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400
29.
A correlation shows that two variables are
a)
related
b)
causing each other
c)
corred
d)
ambiguous
30.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
31.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
32.
What type of correlation does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
33.
What does this symbol represent?
a)
Mean
b)
Median
c)
Mode
d)
Standard Deviation
34.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
35.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
36.
If 10 is added to every value in a set of data, what will happen to the value of the standard deviation?
a)
it will increase
b)
it will decrease
c)
it will stay the same
d)
it will both increase and decrease
37.
If 10 is added to every value in a set of data, what will happen to the value of the mean?
a)
it will increase by 10
b)
it will decrease by 10
c)
it will stay the same
d)
it will both increase and decrease
38.
On a physical fitness test middle school boys are awarded one point for each push-up they can do, and a point for each sit-up. National results showed that boys average 18 pushups with a standard deviation of 4 push-ups, and 34 sit-ups with standard deviation of 11. The mean of their combined (total) scores was therefore 18 + 34 = 52 points. What is the standard deviation of their combined scores?
a)
5.3
b)
11.7
c)
15
d)
It cannot be determine
39.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
40.
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
41.
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
42.
When are the results of an experiment statistically significant?
a)
When you care about them.
b)
When what you observe is too distinct to be caused by chance.
c)
When the data is interesting or shows a trend.
d)
When it supports your hypothesis.
43.
Is diet or exercise effective in combating insomnia? Some believe that cutting out desserts can help alleviate the problem, while others recommend exercise. Forty volunteers suffering from insomnia agreed to participate in a month-long experiment. Half were randomly assigned to a special no-desserts diet; the others continued desserts as usual. Half of the people in each of these groups were randomly assigned to an exercise program, while the others did not exercise. Those who ate no desserts and engaged in exercise showed the most improvement.
a)
Observational Study
b)
Experiment
44.
Researchers have linked an increase in the incidence of breast cancer in Italy to dioxin released by an industrial accident in 1976. The study identified 981 women who lived near the site of the industrial explosion and were under age 40 at the time. Fifteen of the women had developed breast cancer, at an unusually young average age of 45. Medical records showed that these women had heightened concentrations of dioxin in their blood, and that each 10-fold increase in dioxin level was associated with a doubling of the risk of breast cancer. (Science News, Aug. 3, 2002)
a)
Observational Study
b)
Experiment
45.
To research the effects of "dietary patterns" on blood pressure in 459 subjects, subjects were randomly assigned to three groups and had their meals prepared by dieticians. Those who were fed a diet low in fat and cholesterol and high in fruits, vegetables, and low-fat dairy foods (known as the DASH diet) lowered their systolic blood pressure by an average of 6.7 points when compared with subjects fed a control diet.
a)
Observational Study
b)
Experiment
46.
The May 4, 2000, issue of Science News reported that, contrary to popular belief, depressed individuals cry no more often in response to sad situations than nondepressed people. Researchers studied 23 men and 48 women with major depression, and 9 men and 24 women with no depression. They showed the subjects a sad film about a boy whose father has died, noting whether or not the subjects cried. Women cried more often than men, but there were no significant differences between the depressed and nondepressed groups.
a)
Observational Study
b)
Experiment
47.
Using digits 0-9, identify an appropriate assignment of digits to the following eye colors given their corresponding likelihoods:
30% chance of having blue eyes
20% chance of having green eyes
40% chance of having brown eyes
10% chance of having hazel eyes
30% chance of having blue eyes
20% chance of having green eyes
40% chance of having brown eyes
10% chance of having hazel eyes
a)
Blue: 0-3, Green: 4-5, Brown: 6-8, Hazel: 9
b)
Blue: 0-2, Green: 3-4, Brown: 5-8, Hazel: 9
c)
Blue: 0-2, Green: 3-5, Brown: 6-8, Hazel: 9
d)
Blue: 0-3, Green: 4-6, Brown: 7-9, Hazel: None
48.
An experiment is conducted to test how different cleats change an athletes running speed. Six different types of cleats are tested and the 100m run time is recorded. What is the independent variable?
a)
The type of cleat
b)
The run time
c)
The 100 meters
d)
The athlete
49.
This variable is the actual data collected during the experiment.
a)
independent variable
b)
dependent variable
c)
control group
d)
data group
50.
An experiment is conducted to test which kind of cat food a cat likes best. The amount of food the cat eats is recorded and four different type of food are tested. What is the dependent variable?
a)
The cat food
b)
The cat
c)
The amount of food the cat eats.
d)
The bowl the cat ate out of.
51.
Students experiment on wilting. They take 2 plants of the same size. They put one in full sunlight and leave one in the classroom. After 2 hours, the plant in the sun has drooped.
Students conclude that sunlight causes wilting. How could this experiment be improved?
Students conclude that sunlight causes wilting. How could this experiment be improved?
a)
Do more trials. Only 1 plant in each spot isn't much repetition.
b)
They should put both plants in the same location.
c)
They should leave the plants in the location for less time so the plant isn't hurt by the sun.
d)
They should make sure to water both plants first.
52.
Students put two plants in the sun. Plant A is in the sun for 10 minutes. Plant B is in the sun for 1 hr. Students decide that plant B is better at photosynthesis. This is wrong because...
a)
They didn't control all variables
b)
The independent variable was sunlight
c)
The dependent variable was amount of gas produced
d)
they used different amounts of water
53.
Interview the first 30 students who enter the school in the morning.
a)
simple random
b)
voluntary response
c)
systematic
d)
convenience
54.
Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.
a)
systematic
b)
simple random sample
c)
convenience
d)
volunteer response
55.
Exit polls (where the surveyor asks those who are leaving the poll booths on election day) are a form of:
a)
Voluntary Response
b)
Convenience Sampling
c)
Simple Random Sampling
d)
Systematic Sampling
56.
Marianne wanted to know students' opinion on the new schedule at school. She places students' names in a container and randomly picks out 20 names.
a)
Convenience Sampling
b)
Systematic Random Sampling
c)
Simple Random Sampling
d)
Volunteer response
57.
Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest.
This is a form of:
This is a form of:
a)
Simple Random Sample
b)
Systematic Random Sample
c)
Voluntary Response
d)
Systematic Random Sampling
58.
Marianne wanted to know students' opinion on the new schedule at school. So she randomly selected 2 students from each class during second period.
This is a form of:
This is a form of:
a)
Convenience Sampling
b)
Random Sampling
c)
Stratified Sampling
d)
Systematic Sampling
59.
Group businesses according to type: medical, retail, restaurant, hotel, other. Then select a random sample of 10 businesses from each type.
a)
voluntary response
b)
random
c)
stratified
d)
systematic
60.
Which of the following is false?
a)
Asking personal questions face to face can lead to response bias.
b)
Asking people as they walk into a stadium for the name of their favorite football team can result in bias.
c)
Stratified sampling has nothing in common with random or systematic
d)
Voluntary response surveys are biased
61.
Is this a probability distribution?
a)
No
b)
Yes
62.
The amount of snow that falls in Glens Falls each November.
a)
Discrete
b)
Continuous
63.
Is this a probability distribution?
a)
No
b)
Yes
64.
Find the mean of the probability distribution.
a)
85
b)
83.2
c)
87.1
d)
84.4
65.
Is the probability of getting a 95 unusual?
a)
No
b)
Yes
66.
A company states that 2% of its computers are returned for defects. We take a sample of 100 computers to find the probability of 10 being defective. Is this a binomial distribution?
a)
No because there is not a fixed number of trials.
b)
No because their are more than 2 outcomes.
c)
Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.
d)
No since computers would not be independent.
67.
On an eight question multiple choice quiz with 4 answers for each question, what is the probability of guessing and getting 6 correct answers?
a)
.004
b)
.109
c)
.003
d)
.9996
68.
On an eight question multiple choice quiz with 4 answers for each question, what is the probability of guessing and getting at least 7 correct answers?
a)
.00002
b)
.99998
c)
.0004
d)
.9996
69.
The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?
How many total outcomes are there?
a)
6
b)
12
c)
24
d)
36
70.
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. What is the expected value of a ticket?
a)
lose an average of $5.50
b)
lose an average of $1.50
c)
win an average of $2.00
d)
lose an average of $10.00
71.
A report in a medical journal notes that the risk of developing Alzheimer's disease among subjects who regularly opted to take Ibuprofen was about half the risk among those who did not. Is this good evidence that Ibuprofen is effective in preventing Alzheimer's?
a)
Yes, because the study was a randomized, comparative experiment
b)
No, because the effect of Ibuprofen is confounded with the placebo effect
c)
No, because this is an observational study. An experiment would be needed to confirm (or not confirm) the observed effect.
d)
Yes, because a 50% reduction can't hapen just by chance
72.
How many females were surveyed?
a)
10
b)
16
c)
26
d)
14
73.
How many chemical engineers chose Science as their favorite subject?
a)
80
b)
91
c)
171
d)
262
74.
Given the person is a child, what is the probability they would pick neither?
a)
.26
b)
.195
c)
.286
d)
.214
75.
What is 1% of $43?
a)
$0.43
b)
$4.30
c)
$0.043
d)
$43
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