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Statistics Test Review

Total questions: 53

Worksheet time: 4hrs 25mins

Name
Class
Date
1.

Roberto wants to know the favorite sport of adults in his hometown. He surveys 50 adults at a baseball game. Is this random or biased sampling?

a)

Random

b)

Biased

2.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
3.

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

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

4.

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)

5.

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

6.

Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.

a)

Convenience Sampling

b)

Systematic Random Sampling

c)

Simple Random Sampling

d)

Volunteer response

7.
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:
a)
Simple Random Sample
b)
Stratified Random Sample
c)
Voluntary Response
d)
Systematic Random Sampling
8.

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 first five who raise their hands.

a)

Systematic

b)

Convenience

c)

Self Selected

d)

Simple Random

9.

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

10.

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

She picks the student in every 5th seat.

a)

Simple Random

b)

Systematic

c)

voluntary response

d)

convenience

11.
A ___ is a large group that includes everything being studied.
a)
Sample
b)
Stratified Sampling Method
c)
Population
d)
Voluntary-Response
12.
A ___ is a small portion of the population used to gather data from.
a)
Systematic Sampling Method
b)
Sample
c)
Population
d)
Bias
13.

One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.

a)

Observational Study

b)

Experiment

14.

A researcher stood at a school parking lot entrance to see if the color of a car is related to the driver not wearing a seatbelt.

a)

Observational Study

b)

Experiment

15.

A professor finds that people who are obese have higher cholesterol levels than those who are not obese.

a)

Observational Study

b)

Experiment

16.

Four groups of randomly selected people are assigned a different diet. After six months, the blood pressures of each group are compared.

a)

Observational Study

b)

Experiment

17.

You want to see if students who have a 4.0 grade point average study more than those who do not.

a)

experiment

b)

observational study

18.

You want to compare the health of students who walk to school to the health of students who ride the bus

a)

experiment

b)

observational study

19.

A researcher randomly assigned boys and girls to each of two groups. One group was assigned to watch a violent television program while the other group watched a nonviolent program. The children's behavior was then recorded for incidences of aggressive behavior. This research method is best characterized as...

a)

experimental

b)

Observation

20.

To test the effects of breakfast on grades I ask my students if they ate breakfast and then compare the breakfast eaters grades to the non-breakfast eaters.

This is an example of:

a)

Observational study

b)

Experiment

21.

Researchers wanted to know if there is a link between proximity to high-tension wires and the rate of leukemia in children. To conduct the study, researchers compared the rate of leukemia for children who lived within 1/2 mile of high-tension wires to the rate of leukemia for children who did not live within 1/2 mile of high-tension wires.

a)

Observational Study

b)

Experiment

22.

Rats with cancer are divided into two groups. One group receives 5 milligrams of a medication that is thought to fight cancer and the other receives 10 mg. After 2 years, the spread of cancer is measured.

a)

Observational Study

b)

Experiment

23.

What does this symbol represent?

a)

Standard Deviation

b)

Variance

c)

Mean Absolute Deviation

d)

Sigma

24.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

25.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

26.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
27.

Given a variance of 64, what is the standard deviation?

a)

8

b)

4096

c)

0

d)

6.8

28.
the square of this value will give the variance
a)
standard deviation
b)
variance
c)
mean
d)
median
29.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
30.
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.
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.
31.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
32.
Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
33.
Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
34.

What is the percentage of data that falls within three standard deviations of the mean?

a)

99.7%

b)

98.7%

c)

95%

d)

100%

35.

What is the percentage of data that falls within two standard deviations of the mean?

a)

68%

b)

99.7%

c)

95%

d)

98%

36.

What is the percentage of data that falls within one standard deviation of the mean?

a)

67%

b)

65%

c)

72%

d)

68%

37.

The Empirical (68-95-99.7) Rule can be applied only if data is ....

a)

Normally Distributed

b)

Uniform

c)

Skewed

d)

Symmetric

38.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

39.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

40.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

41.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

42.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

43.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

44.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

45.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

46.

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

a)

3.33

b)

-3

c)

3.03

d)

-3.33

47.
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
48.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

49.
What does this Z-score (hopefully you answered +1.25) imply about his performance?
a)
Average
b)
Better than average
c)
Worse than average
d)
It was better than everyone else's.
50.

Use the image of the normal graph provided. What is the value of the mean?

a)

6

b)

34

c)

52

d)

70

51.

Use the image of the normal graph provided. What is the value of the standard deviation?

a)

6

b)

12

c)

36

d)

18

52.

What percent of scores are below a z-score of  z=−1.02z=-1.02 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

15.87%

b)

15.39%

c)

9.68%

d)

84.61%

53.

What percent of scores are below a z-score of  z=2.34z=2.34 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

99.04%

b)

0.96%

c)

98.93%

d)

97.68%