AnswersCR - Algebra 2 26-27 - S2Designing a Study

Designing a Study — Unit test Answers

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Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?

A
1
B
2
C
3
D
4
2
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Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created.Which student’s club has more possible combinations for his six-member team?

A
Brent’s club has more possible team combinations because he has fewer members on each team than Miguel’s does.
B
Brent’s club has more possible team combinations because there are more members to choose from.
C
Miguel’s club has more possible team combinations because there are fewer members in his club.
D
Miguel’s club has more possible team combinations because he has more members on each team than Brent does.
3

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive.What is true about spinning the spinner one time? Select three options.

A
S = {1, 2, 3, 4, 5, 6, 7, 8}
B
If A is a subset of S, A could be {1, 2, 3}.
C
If A is a subset of S, A could be {7, 8, 9}.
D
If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}.
E
If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
4

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true?

A
The probability that Christina will choose three comedies can be expressed as .
Option A
B
The probability that Christina will choose three action movies can be expressed as .
Option B
C
The probability that Christina will not choose all comedies can be expressed as 1 − .
Option C
D
The probability that Christina will not choose all action movies can be expressed as 1 − .
Option D
5

The mean test scores with standard deviations of four English classes are given below.ClassMeanStandard DeviationMrs. Jones891.9Mrs. Rijo821.4Mr. Phan733.4Mrs. Scott906.1Which statement is most likely to be true?

A
The scores of Mrs. Scott’s class are the closest to the class mean.
B
The scores of Mr. Phan’s class are the closest to the class mean.
C
The scores of Mrs. Jones’s class are the closest to the class mean.
D
The scores of Mrs. Rijo’s class are the closest to the class mean.
6

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.What is the first error she made in computing the variance?

Question illustration
A
Emi failed to find the difference of 89 - 78 correctly.
B
Emi divided by N - 1 instead of N.
C
Emi evaluated (46 - 78)2 as -(32)2.
D
Emi forgot to take the square root of -135.6.
7

A convenience sample differs from a voluntary sample in that

A
a convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.
B
convenience samples survey each participant once, and voluntary samples survey each participant numerous times.
C
convenience sampling is a method of random sampling, and a voluntary sample is not.
D
convenience sampling is not a probability-based method, and voluntary sampling is.
8

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use?

A
systematic random sampling
B
voluntary sampling
C
convenience sampling
D
stratified sampling
9

Which probabilities are correct? Select two options.

A
P(A|C) =
Option A
B
P(C|B) =
Option B
C
P(A) =
Option C
D
P(C) =
Option D
E
P(B|A) =
Option E
10

The spinner is equally likely to land on any of the six sections.

Question illustration
A
Two-ninths
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
11

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

Question illustration
A
25%
B
33%
C
40%
D
67%
12

Which normal distribution has the greatest standard deviation?

A
A normal distribution is shown. The curve peaks at 96 and hits the axis at 75 and 115.
Option A
B
A normal distribution is shown. The curve peaks at 60 and hits the axis at 48 and 72.
Option B
C
A normal distribution is shown. The curve peaks at 16 and there is area under the curve at all points.
Option C
D
A normal distribution is shown. The curve peaks at 32 and hits the axis at 28 and 38.
Option D
13

The annual salaries of all employees at a financial company are normally distributed with a mean = $34,000 and a standard deviation = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?

Question illustration
A
–5
B
–3.5
C
–1.5
D
1.5
14

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

A
0.09
B
0.15
C
0.30
D
0.60
15

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

Question illustration
A
motor ⋃ manual
B
motor ⋃ bicycle
C
motor ∩ manual
D
motor ∩ bicycle
16

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

A
A ⊂ B
B
B ⊂ A
C
Ac = B
D
Bc = A
17

The mean of a set of credit scores is and . Which statement must be true about z694?

Question illustration
A
z694 is within 1 standard deviation of the mean.
B
z694 is between 1 and 2 standard deviations of the mean.
C
z694 is between 2 and 3 standard deviations of the mean.
D
z694 is more than 3 standard deviations of the mean.
18

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in. What percentage of the snakes are longer than 16.6 in.?

Question illustration
A
0.3%
B
2.5%
C
3.5%
D
5%
19

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
20

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
24
B
27
C
36
D
40

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