Unit Test — Unit test Answers

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What is the value of C in the matrix equation below?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
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Option D
3

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.
4

A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?

A
all residents of the city
B
all residents of the city
C
the members of the city council
D
the members of the city council
E
all city residents who support the arts
F
all city residents who support the arts
G
the people surveyed by the city official
H
the people surveyed by the city official
5

Research suggests that students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local schools one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large high school soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?

A
This is undercoverage bias because adults with older children are more likely to be included in the sample.
B
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
C
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
D
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
8

A citizen wants to propose to the city council extending the hours at the local public library on some weekdays. To measure support for extended hours, the citizen visits neighborhood homes and asks adults the following: "Would you agree that the closing time of the library should be extended by one hour on weekdays to accommodate working families?” Of the 212 adults surveyed, 86% agreed with the statement. Which of the following statements about the results is true?

A
The 86% support provides substantial evidence that the library hours should be extended.
B
More families should be asked the same question to be sure of community support.
C
The survey suffers from question wording bias and may not represent true support for the extended hours.
D
The survey suffers from voluntary response bias and may not estimate true support for the extended hours.
9

What is the product?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
10

The mean game scores and standard deviations of four seasons of a football team are given below.SeasonMeanStandard Deviation2005193.52006212.82007121.0200894.0Which statement must be true?

A
The game scores of season 2006 have a greater spread than the game scores of season 2008.
B
The game scores of season 2007 have a greater spread than the game scores of season 2005.
C
The game scores of season 2006 have a greater spread than the game scores of season 2005.
D
The game scores of season 2005 have a greater spread than the game scores of season 2006.
11

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
14

A community is considering raising funds to pay for improvements to the community swimming pool. To measure the level of interest, community leaders survey patrons of the community pool on a Saturday afternoon. Of the 103 patrons surveyed, 87 approve of raising funds to pay for improvements. Which of the following is a true statement regarding the design and results of the survey?

A
This is a convenience sample and is representative of community support.
B
This is a convenience sample and likely overestimates support for raising funds.
C
This is a voluntary response sample and likely overestimates support for raising funds.
D
This is a voluntary response sample and likely underestimates support for raising funds.
16

The graph below shows three different normal distributions.Which statement must be true?

Question illustration
A
Each distribution has the same mean and the same standard deviation.
B
Each distribution has the same mean and a different standard deviation.
C
Each distribution has a different mean and the same standard deviation.
D
Each distribution has a different mean and a different standard deviation.
17

A factory produces plastic parts used to fit in car dashboards. It is important that the parts are produced with the correct dimensions, or they may not fit in the car dashboard. To ensure that the parts are being made correctly, a sample of parts is checked and measured each day. Which of the following methods would not represent a convenience sample?

A
Right after lunch, the first 25 parts are inspected.
B
Fifty parts are chosen at random from the many parts made each day.
C
At the end of the day, a container of 30 parts is inspected and measured.
D
The first 20 parts produced after the start of the day are inspected and measured.
18

Each column of the matrix represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4A, what are the vertices of the scaled rectangle?

Question illustration
A
(4, 4), (24, 4), (24, 20), (4, 20)
B
(5, 5), (10, 5), (10, 9), (5, 9)
C
(4, 4), (6, 1), (6, 5), (1, 5)
D
(5, 5), (6, 1), (6, 5), (4, 20)
19

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.
20

What is the product?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D

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