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AP STATS sem1 review

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Select all RESISTANT measures of statistics below (Chapter 1)

a)

mean

b)

interquartile range

c)

standard deviation, variance

d)

median

e)

mode

2.

The average score for an AP Stats test is 85 with a standard deviation of 6.2. Mr. Snider scores a 97. What is his percentile rank? (Chapter 2)

a)

.9162

b)

.9735

c)

.9772

d)

.9380

3.

Which of the residual plots in the image best indicate that a linear model is an appropriate representation of the data? (Chapter 3)

a)

A

b)

B

c)

C

d)

D

e)

E

4.

Use the information provided to construct a least squares regression line. (Chapter 3)

a)

ŷ = 3.2 + 4.7x

b)

ŷ = 4.7 + 3.2x

c)

ŷ = 4.7 + 0.9x

d)

ŷ = .668 + 1.26x

5.

Interpret the value of S on this least squares regression output. (Chapter 3)

a)

The predicted life expectancy is typically off from the actual by 1.91 years.

b)

Each country's actual life expectancy will vary from its predicted life expectancy by 1.91 years.

c)

The predicted life expectancy of a country will be 1.91 standard deviations away from its actual life expectancy.

d)

The predicted life expectancy of a randomly selected country will be 1.91 standard deviations away from all 10 countries' average life expectancy.

6.

Mr. Nguyen is known to make 80% of his free throws. A simulation is constructed in which he takes 50 shots, and you want to determine his longest streak of misses. You are attempting to simulate random selection with a random digit table. What are possible labels you can use? (Chapter 4)

a)

0-8 = makes

9-10 = misses

no unusables

b)

0-39 = makes

40-49 = misses

50-99 = unusables

c)

1-8 = makes

9 = misses

0 = unusable

d)

0-79 = makes

80-99 = misses

no unusables

e)

0-7 = makes

8-9 = misses

no unusables

7.

In a recent survey, 25% of students own an Xbox, 38% own a PlayStation, and 14% own both. What is the approximate probability of randomly selecting an Xbox owner who also owns a PlayStation? (Chapter 5)

a)

.14

b)

.44

c)

.56

d)

.37

8.

Given probabilities P(A) = .46 and P(A ∪ B) = .9, what is P(B) if A and B are mutually exclusive? If A and B are independent? (Chapter 5)

a)

.44, .8148

b)

.8148, .44

c)

.44, .51

d)

.3014, .51

9.

There are two boxes filled with red and blue jelly beans. In the first box, the probability of selecting a red jelly bean is .3. In the second box, the probability of selecting a red jelly bean is .45. Karina randomly selects a jelly bean from the first box, and then the second. What is the probability that she selects a blue jelly bean from the second box, given that the first jelly bean was red? (Chapter 5)

a)

.85

b)

.315

c)

.135

d)

.165

e)

.55

10.

What is the standard deviation of this table? (Chapter 6)

a)

.5477

b)

22.6119

c)

5.5678

d)

7

11.

The probability of passing an AP Stats test is .7. You take 8 AP Stats tests. What is the probability that you pass at least 6 of those tests? (Chapter 6)

a)

.75

b)

.2965

c)

.8023

d)

.2553

e)

.5518

12.

The mean SAT score is 1050 with a standard deviation of 110. We sample 50 LQ students who have taken the SAT. What is the probability they average 1080 or higher? (Chapter 7)

a)

.0269

b)

≈ 0

c)

.9731

d)

.4930