Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Based on her research, Aria estimates that
75% of the students at her college work while they're in school. The margin of error of her estimation is
5%. Based on her estimate and margin of error, Aria would most likely agree with which of the following statements?
Choose 1 answer:
(A) Between
70% and
80% of the students at Aria's college work while they're in school.
(B) Between
70% and
75% of the students at Aria's college work while they're in school.
(C) Between
72.5% and
77.5% of the students at Aria's college work while they're in school.
(D) Between
74.5% and
75.5% of the students at Aria's college work while they're in school.

Based on her research, Aria estimates that $75 \%$ of the students at her college work while they're in school. The margin of error of her estimation is $5 \%$ . Based on her estimate and margin of error, Aria would most likely agree with which of the following statements? $\newline$ Choose $1$ answer: $\newline$ (A) Between $70 \%$ and $80 \%$ of the students at Aria's college work while they're in school. $\newline$ B Between $70 \%$ and $75 \%$ of the students at Aria's college work while they're in school. $\newline$ (C) Between $72.5 \%$ and $77.5 \%$ of the students at Aria's college work while they're in school. $\newline$ (D) Between $74.5 \%$ and $75.5 \%$ of the students at Aria's college work while they're in school.

View step-by-step help

View step-by-step help

Interpret regression lines

Full solution

Q. Based on her research, Aria estimates that

75 \%

of the students at her college work while they're in school. The margin of error of her estimation is

5 \%

. Based on her estimate and margin of error, Aria would most likely agree with which of the following statements?

\newline

Choose

1

answer:

\newline

(A) Between

70 \%

and

80 \%

of the students at Aria's college work while they're in school.

\newline

B Between

70 \%

and

75 \%

of the students at Aria's college work while they're in school.

\newline

(C) Between

72.5 \%

and

77.5 \%

of the students at Aria's college work while they're in school.

\newline

(D) Between

74.5 \%

and

75.5 \%

of the students at Aria's college work while they're in school.

Understand Problem: Understand the problem and the given information. $\newline$ Aria estimates that $75\%$ of the students work while in school, with a margin of error of $5\%$ . The margin of error means that the true percentage could be as low as $75\% - 5\%$ or as high as $75\% + 5\%$ .
Calculate Lower Bound: Calculate the lower bound of the estimate. $\newline$ Subtract the margin of error from the estimated percentage to find the lower bound. $\newline$ $75\% - 5\% = 70\%$
Calculate Upper Bound: Calculate the upper bound of the estimate. $\newline$ Add the margin of error to the estimated percentage to find the upper bound. $\newline$ $75\% + 5\% = 80\%$
Determine Range: Determine the range of percentages. Based on the calculations in Step $2$ and Step $3$ , the range of percentages that Aria would agree with is between $70\%$ and $80\%$ .

More problems from Interpret regression lines

Question

Read the following description of a data set. Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any. Rod noted the age of each person he spoke with,

x

, and the number of songs each could name,

y

. The least squares regression line of this data set is:

y = 0.886x - 23.764

Complete the following sentence: The least squares regression line predicts that if a person is one year older, they will be able to name

\_\_\_\_

Posted 5 months ago

Question

Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?

\newline

\newline

\text{(A)Taking your temperature more often is associated with using more cough drops.}

\newline

\text{(B)Having colds more often is associated with using more tissues.}

\newline

\text{(C)Eating chicken soup more often is associated with drinking more green tea.}

Posted 5 months ago

Question

A large truck, traveling

30

miles per hour, carries a letter from the central post office to the local post office. The letter is then loaded onto a local vehicle, which travels at an average speed of

10

miles per hour, until the letter reaches its destination. The large truck carried the letter for

a

minutes and the local vehicle carried the letter for

b

minutes. If the total distance that the letter travelled from the central post office to its destination was

24

miles, which of the following equations correctly relates

a

b

\newline

1

\newline

\frac{30}{60} a+\frac{10}{60} b=24

\newline

\frac{60}{30} a+\frac{60}{10} b=24

\newline

30 a+10 b=24

\newline

60 \cdot 30 a+60 \cdot 10 b=24

Posted 9 months ago

Question

Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove

15

(\mathrm{mg})

per square meter of a particular pollutant from the soil in

20

20

weeks, the ferns are harvested and a new crop is planted. If

c

represents the number of crops of brake ferns needed to phytoremediate soil contaminated with

170 \mathrm{mg}

per square meter of the pollutant down to healthy levels of

5 \mathrm{mg}

per square meter, which equation best models the situation?

\newline

1

\newline

170-20 c=5

\newline

170+20 c=5

\newline

170-15 c=5

\newline

170+15 c=5

Posted 10 months ago

Question

Vicente surveyed a random sample of New Mexico residents ages

18

24

about how much they typically tip at a restaurant. The results of the survey are most representative of which of the following populations?

\newline

1

\newline

(A) New Mexico residents

\newline

(B) Albuquerque, New Mexico residents

\newline

(C) New Mexico residents ages

18

24

\newline

(D) Albuquerque, New Mexico residents ages

18

24

Posted 8 months ago

Question

A writer for a high school newspaper is conducting a survey to estimate the number of students that will vote for a particular candidate in an upcoming student government election. All students at the high school are eligible to vote in the election, and the writer decides to select a sample of students to take the survey. Which of the following sampling methods is most likely to produce valid results?

\newline

1

\newline

(A) Survey every fifth student to enter the school library.

\newline

(B) Survey every fifth student to arrive at school one morning.

\newline

(C) Survey every fifth senior to arrive at school one morning.

\newline

(D) Survey every fifth student to enter the school stadium for a football game

Posted 10 months ago

Question

In which of the following scenarios can the decline of Littleroot Town's population be described as linear?

\newline

1

\newline

2.5 \%

of the current population leaves Littleroot Town.

\newline

(B) Each year, an increasing number of people leave Littleroot Town.

\newline

(C) Each year, a decreasing number of people leave Littleroot Town.

\newline

(D) Each year, a constant number of people leave Littleroot Town.

Posted 10 months ago

Question

A zookeeper weighs her animals once a month and compares their weights to the previous month.

\newline

3 \mathrm{~kg}

between January and February.

\newline

The rhino gained

12 \mathrm{~kg}

between January and February.

\newline

2 \mathrm{~kg}

between January and February.

\newline

The penguin gained

4 \mathrm{~kg}

between January and February.

\newline

Which animal had the least amount of change in weight?

\newline

1

\newline

\newline

\newline

\newline

Posted 10 months ago

Question

A small accounting firm has

4

accountants who each earn a different salary between

52

000

58

000

dollars. For extra help during tax season, they hire a

5^{\text {th }}

accountant who earns

10

000

dollars. [Show data].

\newline

How will hiring the

5^{\text {th }}

accountant affect the mean and median?

\newline

1

\newline

(A) Both the mean and median will decrease, but the median will decrease by more than the mean.

\newline

(B) Both the mean and median will decrease, but the mean will decrease by more than the median.

\newline

(C) The mean will decrease, and the median will increase.

\newline

(D) The mean will increase, and the median will decrease.

Posted 10 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 2 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant