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Stats Reasoning Final Exam Sem. 1 Review

Total questions: 45

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Interview every 10th student who enters the school in the morning.

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

2.

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)

Self - selected (volunteer)

3.

Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:

a)

Self-Selected

b)

Convenience Sampling

c)

Simple Random Sampling

d)

Systematic Random Sampling

4.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the five closest to her desk.

a)

simple random

b)

Self Selected.

c)

Convenience

d)

Systematic Random

5.

An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.

This is an example of:

a)

Simple Random Sample

b)

Stratified Random Sample

c)

Cluster Random Sample

d)

Systematic Random Sampling

6.

A teacher hands out an index card and asks ALL of her students to write down the following information: age, height (in inches), and what grade they are in.

Which of the following best describes her method of data collection?

a)

Census

b)

Simple Random Sample

c)

Cluster Random Sample

d)

Stratified Random Sample

7.

A teacher splits her classes up by period. She then randomly picks 3 students from each period to do a survey.

a)

Stratified.

b)

Systematic

c)

Cluster

d)

Biased.

8.
In order to investigate whether women are more likely than men to prefer Democratic candidates, a political scientist selects a large sample of registered voters, both men and women. She asks every voter whether they voted for the Republican or the Democratic candidate in the last election. This is
a)
a simple random sample
b)
a block design
c)
a double-blind experiment
d)
an observational study
9.
A nutritionist wants to study the effect of storage time (6, 12, and 18 months) on the amount of vitamin C present in freeze dried fruit when stored for these lengths of time. Vitamin C is measured in milligrams per 100 milligrams of fruit. Six fruit packs were randomly assigned to each of the three storage times. The treatment, experimental unit, and response are respectively:
a)
A specific storage time, amount of vitamin C, a fruit pack
b)
A fruit pack, amount of vitamin C, a specific storage time 
c)
A specific storage time, the nutritionist, amount of vitamin C
d)
A specific storage time, a fruit pack, amount of vitamin C 
10.

Blood type

a)

Categorical

b)

Quantitative

11.

Waiting time in a waiting room

a)

Categorical

b)

Quantitative

12.
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
13.
The number of orange Skittles in a bag. 
a)
Discrete
b)
Continuous
14.
The time it takes for a light bulb to burn out. 
a)
Discrete
b)
Continuous
15.
An amateur gardener decides to change varieties of tomatoes for this year to see if the yield is improved. He puts 6 of the old type of tomato plants and 6 of the new tomato plants in his garden. The average yield for the old plants was 11.3 pounds and the average for the new plants was 14.5 pounds. This is an example of
a)
an experiment
b)
an observational study
16.
210 college students were randomly assigned to play either a violent or nonviolent video game.  A short time later, the students were presented with the opportunity to trivially harm another person and results comparing the two groups were recorded.
Is this study OBSERVATIONAL or EXPERIMENTAL? 
a)
Observational
b)
Experimental
17.
According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?
a)
None
b)
One
c)
Two
d)
Three
18.
The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?
a)
Mean > Median
b)
Mean < Median
c)
Mean = Median
d)
Mean ≈ Median
19.

What is the lower quartile?

a)

39

b)

40

c)

35

d)

50

20.

What was the lowest score?

a)

20

b)

30

c)

39

d)

40

21.

What is the range?

a)

4kg

b)

4.5kg

c)

18kg

d)

20kg

22.

The Interquartile Range (IQR) is calculated by

a)

Q2 - Q1

b)

Q3 + Q1

c)

Q3 - Q1

d)

Q4 - Q2

23.

Find the Interquartile range (IQR)

48 48 53 53.5 54 60 62 71

a)

9

b)

10

c)

10.5

d)

14

24.

Which group has a larger interquartile range?

a)

Group A

b)

Group B

c)

They're the same

25.

What percent of students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

26.

Type of Data arrangement

a)

Symmetrical

b)

Hairline

c)

Skewed Right

d)

Skewed Left

27.
What is the shape of the distribution?
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
28.
Describe the data distribution shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
29.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
30.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
31.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
32.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
33.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
34.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
35.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
36.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

37.
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 exactly 2 of the first 20 blood donors have Type B blood? 
a)
0.316
b)
0.282
c)
0.001
d)
Not here
38.
A test consists of 10 multiple choice questions with five choices for each question.  As an experiment, you GUESS on each and every answer without even reading the questions. 
What is the probability of getting exactly 6 questions correct on this test?
a)
0.6%
b)
0.00001%
c)
0.0064%
d)
0.0002%
39.
Which one of these variables is a binomial random variable?
a)
Time it takes a randomly selected student to complete a multiple choice exam
b)
Number of textbooks a randomly selected student bought this term 
c)
Number of women taller than 68 inches in a random sample of 5 women
d)
Number of CDs a randomly selected person owns
40.
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.
41.
Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?
a)
100C70   ( 0.18  )30 ( 0.90  )70
b)
100C70   ( 0.10  )30 ( 0.90  )60
c)
100C70   ( 0.10  )30 ( 0.90  )70
d)
99C70   ( 0.10  )30 ( 0.90  )70
42.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

43.

Find the variance of a binomial distribution with 50 trials and p= 0.4

a)

12

b)

15

c)

10

d)

20

44.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

45.

If you want to know how many trials you will need before your first success, use the ????? model.

a)

Geometric

b)

Binomial

c)

Normal

d)

Calculator

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