Download Algebra 2 – Chapter 12 Test Review Name _____________________________

Algebra 2 – Chapter 12 Test Review
Name _____________________________
All probabilities should be written as a percent rounded to the nearest whole number.
1.
You roll a number cube marked with natural numbers from 1 to 6. Tell whether each
set represents a sample space for the outcomes. Explain why or why not.
a. {even, prime}
b. {less than 5, more than 4}
2.
3.
The tree diagram shows probabilities concerning applicants getting accepted to
college and applicants passing an Algebra 2 class. P=passes
0.90 A
Algebra2; F=doesn’t pass Algebra 2; A=Accepted to college;
D=Denied college acceptance. Find each probability.
P
0.10
0.75
a. given that an applicant passes the Alg 2 class, the
D
probability that an applicant will be accepted to college
0.05 A
0.25
b. an applicant chosen at random will get accepted to college
F
0.95 D
Use the frequency table to find each probability. Let B and G represent boy
and girl students. And let R, S and T represent graphing, scientific, and teacher’s
calculator used.
Boy
Girl
a. P(R)
d. P(G | S)
7
9
Graphing
12
8
Scientific
b. P(T | G)
e. P(B | R or S)
18
10
Teacher’s
c. P(T and G)
4.
For the set of data:
25.6 26.7 28.9 29.3 29.3 29.8 30.0 30.5 31.2 32.9 34.6 35.6
a. Find the mean of the temperatures
b. Find the median of the temperatures
c. Find the mode of the temperatures
d. Find the quartiles of the data
e. Sketch a box-and-whisker plot
5.
The test scores on an algebra test were:
69 71 75 78 78 83 85 85 85 86 87 89 90 92 95 96 98 98 100 100 100 100 100 100
a. Find the standard deviation
b. Within how many standard deviations of the mean is a score of 67?
6.
Find the margin of error for the sample proportion, given a sample size of 200.
7.
A committee wants find how much time students take to get to school. They ask
students as their parents drop them off in front of school. Identify any bias in this
sampling method.
8.
Find the sample size that produces a margin of error of 1.5%.
9.
In one survey, 123 of 422 students surveyed had ipods.
a. Find the sample proportion.
b. Find the margin of error.
c. Find an interval likely to contain the true population proportion.
10. A survey shows that 35% of the adults in a community read at least one book a
month. Suppose you randomly select ten adults from the community. Find each
probability.
a. P(exactly 4 of the 10 adults read at least one book a month)
b. P(at least 1 of the 10 adults read at least one book a month)
11. The number of candies of a given weight is normally distributed with mean weight
of 7 ounces and a standard deviation of 0.02 oz. Find the number of candies in a bag
of 300 that weigh less than 6.96 ounces.
12. A set of data has a normal distribution with a mean of 6.7 and a standard deviation of
1.1. What percent of the data is between 5.6 and 7.8? What percent is greater than
7.8?
Answers:
1. A. No, does not include 1. B. Yes.
2. A. 90% B. 69%
3. A. 25% B. 37% C. 16% D. 40% E. 53%
4. A. 30.4 B. 29.9 C. 29.3 D. 29.1, 29.9, 32.05 E. plot
5. A. 9.7 B. 3
6. ±7% (to nearest integer)
7. Only students who are driven, may have very different times for those who walk
and those who take the bus.
8. 4,444
9. A. 29% B. ±5% C. 24% - 34%
10. A. 24% B. 99%
11. 8 (about 7 or 8; 7.5 rounds to 8)
12. 64%, 16%