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Final Review Part 3 (Quiz grade) Probability, Z Scores

Total questions: 40

Worksheet time: 2hrs 27mins

Name
Class
Date
1.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

2.
The 75th percentile is also know as the
a)
median
b)
third quartile
c)
1st quartile`
d)
interquartile range
3.

You are told that your height is the 70th percentile of all heights for people your age. Which of the following is a correct interpretation of this information?

a)

Your height is the same as about 70% of all other people your age.

b)

Your height is the same as or higher than about 70% of all other people your age.

c)

Your score height is lower than approximately 70% of all other people your age.

d)

70% of all people your age are taller than you.

4.

Adam's Z-score on a test is +2.50. What does this mean?

a)

Adam's score has a 2.5% chance of being better than any other randomly selected score.

b)

Adam's test score was better than 25% of his peers.

c)

He scored 2.5 standard deviations above the average.

d)

He did terrible.

5.

Joanne's score on a test gives her a Z-score is -1.50. What does this mean?

a)

Joanne didn't take the test yet.

b)

Joanne's test score is 1.50 standard deviations below the average test score.

c)

Joanne did better than 1.50 times her peers.

d)

Joanne's test score, on average, was 1.5 points lower than the other test scores.

6.

Statistics gives us a way to compare events that are measured differently. Which of the following is an example of events that are measured differently?

a)

Ken's test score vs. Mia's test score

b)

Payton Manning's pass completion vs. Aaron Rodgers pass completion

c)

Quin's ACT score vs. Jake's SAT score

d)

My Fitbit steps vs. Mrs. Dunlap's Fitbit steps

7.

Which of the following is a formula that describes calculating a z-score?

a)

Z = (score - mean) / stand. devation

b)

Z = (mean - score) / stand. dev.

c)

Z = score/stand. dev/ mean

d)

Z = dragonball

8.

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

a)

z=x−μz=x-\mu

b)

z=σ−μxz=\frac{\sigma-\mu}{x}

c)

z=σnz=\frac{\sigma}{\sqrt{n}}

d)

z=x−μσz=\frac{x-\mu}{\sigma}

9.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

10.

Crispix has 3g of sugar. What is the z-score? (mean = 7.6, SD = 4.5)

a)

+1.02

b)

-1.02

c)

-0.76

d)

+0.76

11.

Kellogg's cereal has an average of 7.6 g of sugar with an SD of 4.5g.

What is the Z-score of Frosted Flakes if it has 11g sugar?

a)

+0.76

b)

-0.74

c)

+0.68

d)

+0.28

12.
There are 23 marbles, each a different color in a bag. One of them is pink. What is the probability of reaching in to the bag, without looking, and selecting a pink marble?
a)
1/22
b)
1/23
c)
23/1
13.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
14.

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/5

d)

1/10

15.

Ariana's Office Supply shop sells 2 types of notebooks. Each notebook is offered in red, blue, or yellow. If a notebook is selected at random, how many different possibilities are in the sample space?

a)

4

b)

6

c)

8

d)

16

16.

The experimental probability that an SUV will pass by Ariel's store is 0.4. If 500 cars pass by Ariel's store, how many can she expect to be SUVs?

a)

200

b)

100

c)

20

d)

150

17.

The outcome of one event does not affect the outcome of the other event.

a)

independent event

b)

dependent event

18.

What is the probability that a female is chosen?

a)

.597

b)

.4627

c)

.6774

d)

.3143

19.

What is the probability that a female is chosen given they like a Toyota?

a)

.525

b)

.4627

c)

.6774

d)

.3143

20.

In a valid probability distribution, the probabilities must:

a)

Be between 0 and 1 AND

Add to 1

b)

Be between 0 and 1 OR

Add to 1

c)

Be between 0 and 1

d)

Add to 1

21.

In a valid probability distribution, the probabilities must:

a)

Sum to be 10

b)

Sum to be 1

c)

Sum to be 1000

d)

Sum to be 0

22.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
23.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
24.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
25.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

26.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

27.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
28.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
29.

In a pet store, there are 6 puppies, 4 gerbils, and 7 parakeets. If a pet is chosen at random, what is the probability of choosing a puppy or a parakeet?

a)

11/17

b)

13/17

c)

10/17

d)

None of the above

30.

At Ridgemont High school, there are 150 seniors, 70 own dogs, 30 own cats, and 25 own both. Reduce you answer.
Find

P(Cat ∩Dog)P\left(Cat\ \cap Dog\right)  

a)

130\frac{1}{30}  

b)

16\frac{1}{6}  

c)

310\frac{3}{10}  

d)

12\frac{1}{2}  

31.

At Ridgemont High school, there are 150 seniors, 70 own dogs, 30 own cats, and 25 own both. Reduce you answer. 
Find

P(Cat ∪Dog)P\left(Cat\ \cup Dog\right)  

a)

130\frac{1}{30}  

b)

16\frac{1}{6}  

c)

310\frac{3}{10}  

d)

12\frac{1}{2}  

32.

How likely are you to NOT roll a 1 on a regular die? (Complement)

a)

P' = 2/6

b)

P' = 3/6

c)

P' = 5/6

d)

P' = 1/6

33.

What is the difference between an observational study and an experiment?

a)

Observational studies compare data.

b)

Experiments involve imposing a treatment.

c)

Observational studies have subjects and treatments.

34.

To get valid results, a sample must be...

a)

biased

b)

unbiased

35.

Which is the best data collection technique?


Car safety scientists want to see the effect of a car flipping in a motor vehicle accident on a passenger who is NOT buckled in the back seat.

a)

Census

b)

Experiment

c)

Simulation

d)

Observation

e)

Sample

36.

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

37.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
38.
A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  
a)
3360
b)
560
c)
4080
d)
680
39.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
40.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

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