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Stats Final Exam Review

Total questions: 52

Worksheet time: 3hrs 44mins

Name
Class
Date
1.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
2.
Adam's Z-score on a test is +2.5.  What does this mean?
a)
He'd better start studying.
b)
He did better than EVERYONE.
c)
He scored 2.5 standard deviations above the average.
d)
He did terrible.
3.
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%
4.
The center of the curve represents what value of a data set?
a)
μ
b)
δ
c)
Σ
d)
Ζ
5.
In a normal distribution find P( 0.35 < Z < 0.64)
a)
.0227
b)
.1021
c)
.0945
d)
.2104
6.
In a normal distribution find P(-1.2 < Z < 0.64)
a)
.0227
b)
.6238
c)
.5467
d)
.7135
7.

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.

8.

Find the area of the shaded region.

a)

0.16

b)

0.84

c)

0.68

d)

0.34

9.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
10.
A men’s clothing company is doing research on the height of adult American men in order to inform the sizing of the clothing that they offer. The height of males in the United States is normally distributed with a mean of 175 cm and a standard deviation of 15 cm. Men who are more than 30 cm different (shorter or taller) from the mean are classified by the apparel company as special cases because they do not fit in their regular length clothing. Given this information, what proportion of men would be classified as special cases?
a)
0.3%
b)
5%
c)
32%
d)
10%
11.
The normal distribution of women’s total cholesterol levels shows a mean of 197 milligrams per deciliter and a standard deviation is 37.7 milligrams per deciliter.  If 200 U.S. women in the 35–44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 185 milligrams per deciliter of blood?
a)
.6255
b)
.3745
c)
126
d)
75
12.

What is the probability a person chosen is a woman given she preferred Toyota?

a)

.525

b)

.4627

c)

.6774

d)

.3143

13.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. 
What is P(purple then black)?
a)
1/18
b)
2/5
c)
3/7
d)
4/9
14.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

16/52

d)

26/52

15.

The probability that an event does NOT occur is

a)

highly unlikely

b)

1 - the probability that it does occur

c)

a matter of opinion

d)

always less than the probability that it does occur

16.
In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both.  What is the probability that a randomly chosen student eats breakfast but does not floss their teeth?
a)
9%
b)
11%
c)
34%
d)
91%
17.
In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both.  What is the probability that a randomly chosen student eats breakfast or flosses their teeth?
a)
91%
b)
9%
c)
11%
d)
34%
18.
Find the probability:
There are 8 shirts in your closet, 4 blue and 4 green.  You randomly select to wear one on Monday and then a different one on Tuesday.  You wear a blue shirt both days.
a)
1/2
b)
3/14
c)
1/4
19.
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
a)
2/5
b)
1/21
c)
4/25
d)
1/7
20.
The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?
a)
1250/1400
b)
700/1400
c)
550/1400
d)
17/28
21.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400
22.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
23.
A probability near 1 is _______.
a)
never going to happen 
b)
very likely to happen
c)
probably never going to happen
d)
 equally likely to happen
24.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
25.
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
26.
I conduct a survey by splitting the school by grade, then asking 100 Freshmen, 100 Sophomores, 100 Juniors, and 100 Seniors.  Is this method:
a)
Clustered
b)
Self-Selected
c)
Random
d)
Stratified
27.

Ms. Jeffries samples her class by selecting all students sitting at group 1 and group 5 in her classroom. This sampling technique is called?

a)

Simple

b)

Stratified

c)

Systematic

d)

Cluster

28.
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:
a)
Convenience Sampling
b)
Simple Random Sampling
c)
Stratified Random Sampling
d)
Cluster Sampling
29.
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 50 blocks and survey all households on each selected block. 
This is an example of:
a)
Simple Random Sample
b)
Stratified Random Sample
c)
Cluster Random Sample
d)
Systematic Random Sampling
30.
Use postal zip codes to divide a state into regions. Pick a random 10 zip codes and survey all hospitals in those regions. 
a)
cluster
b)
convenience
c)
random sample
d)
systematic
31.

An orange grower wishes to compute the average yield from his orchard. The orchard contatins 3 varieties: 50% of his trees are variety A, 25% of variety B, 25% of variety C. Suppose that the grower selects for his sample a 10 by 30 rectangular block of 300 trees of variety A, a 10 by 15 block of 150 B trees, and a 10 by 15 block of 150 C trees and uses all the trees in those blocks. What type of sampling is being used?

a)

Stratified Sampling

b)

Cluster Sampling

c)

Simple Random Sampling

d)

Convenience Sampling

32.
A ___ is a small portion of the population used to gather data from.
a)
Systematic Sampling Method
b)
Sample
c)
Population
d)
Bias
33.

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)

Systematic Random Sample

c)

Voluntary Response

d)

Cluster Sample

34.

Leslie surveyed the 9 youngest students in the elementary school. Is this sample of the students in the school likely to be representative of the population?

a)

yes

b)

no

35.

Farmer Joe's apple tree farm is set up in 100 rows. He counts the number of apples produced on every 10th row to estimate the number apples produced on the whole farm. This is _____________ sampling.

a)

Random

b)

Stratified

c)

Voluntary-Response

d)

Systematic

36.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
37.
What is the IQR of the Cruisers?
a)
4
b)
6
38.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

b)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

c)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

d)

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

39.

Students are asked to name their favorite type of video game.

a)

Categorical

b)

Change over time

c)

Numerical

40.

Students record how long they can keep their eyes open without blinking in seconds.

a)

Change over time

b)

Numerical

c)

Categorical

41.

Students measure the length of their shoes and record the data.

a)

Change over time

b)

Numerical

c)

Categorical

42.

Students collect data on which place they would like to visit for a vacation.

a)

Categorical

b)

Numerical

c)

Change over time

43.

The number of boys in a class is 1B .

a)

discrete data

b)

continuous data

44.

The number of computers in a library.

a)

discrete data

b)

continuous data

45.

Time taken to complete homework.

a)

discrete data

b)

continuous data

46.

The weight of an elephant.

a)

discrete data

b)

continuous data

47.

The number of pets per family in a city.

a)

discrete data

b)

continuous data

48.

The height of Mr. Kei.

a)

discrete data

b)

continuous data

49.
A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?
a)
0.20
b)
0.29
c)
0.39
d)
0.61
50.

The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.

a)

2.80

b)

2.93

c)

0.10

d)

0.14

51.
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.
What expected value does this broker assign to this stock's end-of-the-year price?
a)
$58.50
b)
$60.00
c)
$62.50
d)
$65.00
52.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the standard deviation. Round to the nearest hundredth.

a)

35.76

b)

268.1

c)

16.3

d)

1279.35

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