AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

Introduction to Statistics — Cumulative exam Answers

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An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of Satisfaction HighMediumLowTotalOwners26341878Renters1512522Total414623110What proportion of those surveyed have low satisfaction with city services?

A
0.2091
B
0.2308
C
0.2644
D
0.3727
2
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Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
Option A
B
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
Option B
C
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
Option C
D
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.
Option D
3

Which graph represents the function y = 2x – 4?

A
Option
B
Option
C
Option
D
Option
4

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
5

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
6

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Question illustration
A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
7

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
8

The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
9

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a discrete quantitative variable that might be included in the brochure?

A
number of seats
B
type of transmission
C
presence of a sunroof
D
fuel efficiency (in mpg)
10

A veterinarian is visited by many pets and their owners each day. Before the doctor attends to each pet, an assistant records information including the type, age, weight, and height of each pet. What are the individuals in the data set?

A
pets
B
types
C
weights
D
heights
11

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?

A
y = 1,000(1.15)6; 2,313 bacteria
B
y = 1,000(1.15)7; 2,660 bacteria
C
y = 1,000(1.5)5; 7,594 bacteria
D
y = 1,000(1.5)6; 11,391 bacteria
12

A sample of 50 students was surveyed about their time spent in front of a screen (laptop, tablet, phone, etc.). Each interval contains the left endpoint but not the right endpoint.

Question illustration
A
[4,5)
B
[5,6)
C
[6,7)
D
[7,8)
13

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
14

A veterinarian is visited by many pets and their owners each day. Before the doctor attends to each pet, an assistant records information including the type, age, weight, and height of each pet. Which of the variables is a categorical variable?

A
type
B
age
C
weight
D
height
15

Test scores for 26 students in an introductory statistics course are displayed in the stemplot below. The scores range from 72 to 98.

Question illustration
A
She could choose either one because they are equal.
B
She should report the mean because it will be greater than the median.
C
She should report the median because it will be greater than the mean.
D
All the missing scores are needed in order to decide.
16

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0).

Question illustration
A
slope: –2; y-intercept: 2
B
slope: ; y-intercept: 1
Option B
C
slope: ; y-intercept: 2
Option C
D
slope: 2; y-intercept: 1
17

The histogram below shows the number of points scored by a high school basketball team over two seasons.

Question illustration
A
He should report the mean.
B
He should report the median.
C
He could report either because they are equal.
D
The exact number of points per game are needed to decide.
18

A manager of a grocery store collects data on each shopper who uses the self-checkout lanes on a Saturday morning. Which of the following is an example of a discrete quantitative variable that might be recorded in this setting?

A
the gender of each shopper
B
the shopper’s use of coupons
C
the number of items for each shopper
D
the time each shopper spends completing the transaction
19

John has taken six quizzes in his statistics class. His scores on these quizzes are listed below. 71, 75, 76, 80, 85, 87

A
The new mean will be 82.0 and the new median will be 78.0.
B
The new mean will be 82.0 and the new median will be 80.0.
C
The new mean will be 89.5 and the new median will be 78.0.
D
The new mean will be 89.5 and the new median will be 80.0.
20

A tourist guide for a state provides information on summer vacation towns. Some of the towns and related information are given in the table.Which of the variables is a discrete quantitative variable?

Question illustration
A
average temperature
B
number of hotels
C
beach access
D
location

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