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Algebra 2

Holliday, Luchin, Cuevas, Carter Marks, Day, Casey, Hayek

Chapter 12

Probability and Statistics

Educators


Problem 1

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. the government sending a tax survey to everyone whose social security number ends in a particular digit

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Problem 2

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. surveying college students in the honors program to determine the average time students at the college study each day

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Problem 3

For Exercises $3-5,$ find the margin of sampling error to the nearest percent.
$$
p=72 \%, n=100
$$

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Numerade Educator

Problem 4

For Exercises $3-5,$ find the margin of sampling error to the nearest percent.
$$
p=31 \%, n=500
$$

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Numerade Educator

Problem 5

In a survey of 350 randomly selected homeowners, 54$\%$ stated that they are planning a major home improvement project in the next six months.

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Numerade Educator

Problem 6

MEDIA For Exercises 6 and 7 , use the following information. A survey found that 57$\%$ of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3$\%$ .
What does the 3$\%$ indicate about the results?

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Numerade Educator

Problem 7

MEDIA For Exercises 6 and 7 , use the following information. A survey found that 5$\%$ of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3$\%$ .
How many people were surveyed?

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Numerade Educator

Problem 8

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
pointing with your pencil at a class list with your eyes closed as a way to find a sample of students in your class

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Problem 9

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
putting the names of all seniors in a hat, then drawing names from the hat to select a sample of seniors

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Problem 10

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
asking every twentieth person on a list of registered voters to determine which political candidate is favored

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Problem 11

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
finding the heights of all the boys on the varsity basketball team to determine the average height of all the boys in your school

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Numerade Educator

Problem 12

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=81 \%, n=100
$$

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Numerade Educator

Problem 13

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=16 \%, n=400
$$

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Numerade Educator

Problem 14

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=54 \%, n=500
$$

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Numerade Educator

Problem 15

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=48 \%, n=1000
$$

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Numerade Educator

Problem 16

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=33 \%, n=1000
$$

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Numerade Educator

Problem 17

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$
p=67 \%, n=1500
$$

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Numerade Educator

Problem 18

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
A poll asked people to name the most serious problem facing the country. Forty-six percent of the 800 randomly selected people said crime.

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Problem 19

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
In a recent survey, 431 full-time employees were asked if the Internet has made them more or less productive at work. 27$\%$ said it made them more productive.

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Numerade Educator

Problem 20

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
Three hundred sixty-seven of 425 high school students said pizza was their favorite food in the school cafeteria.

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Numerade Educator

Problem 21

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
Nine hundred thirty-four of 2150 subscribers to a particular newspaper said their favorite sport was football.

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Numerade Educator

Problem 22

SHOPPING According to a recent poll, 33$\%$ of shoppers planned to spend $\$ 1000$ or more during a holiday season. The margin of error was 3$\% .$ How many people were surveyed?

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Problem 23

ELECTION PREDICTION One hundred people were asked whether they would vote for Candidate A or Candidate B in an upcoming election. How many said "Candidate A" if the margin of error was 9.6$\% ?$

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Problem 24

Economics In a recent poll, 83$\%$ of the 1020 people surveyed said they supported raising the minimum wage. What was the margin of error?

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Problem 25

PHYSICIANS In a recent poll, 61$\%$ of the 1010 people surveyed said they considered being a physician to be a very prestigious occupation. What was the margin of error?

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Problem 26

OPEN ENDED Give examples of a biased sample and an unbiased sample. Explain your reasoning.

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Problem 27

REASONING Explain what happens to the margin of sampling error when the size of the sample $n$ increases. Why does this happen?

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Problem 28

Use the information on page 742 to explain how surveys are used in marketing. Find the margin of error for those who spend $\$ 249$ or less if 807 mothers were surveyed. Explain what this margin of error means.

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Numerade Educator

Problem 29

ACT/SAT In rectangle $A B C D$ , what is $x+y$ in terms of $z ?$
$$
\begin{array}{l}{\text { A } 90+z} \\ {\text { B } 190-z} \\ {\text { C } 180+z} \\ {\text { D } 270-z}\end{array}
$$

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Problem 30

REVIEW If $x y^{-2}+y^{-1}=y^{-2},$ then the value of $x$ cannot equal which of the following?
$$
\begin{array}{l}{\mathbf{F}-1} \\ {\mathbf{G}\quad 0} \\ {\mathbf{H}\quad 1} \\ {\mathbf{J} \quad 2}\end{array}
$$

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Problem 31

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { all } 5 \text { correct })$

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Problem 32

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { exactly } 4 \text { correct })$

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Problem 33

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { at least } 3 \text { correct })$

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Problem 34

A set of 250 data values is normally distributed with a mean of 50 and a standard deviation of 5.5
What percent of the data lies between 39 and 61$?$

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Problem 35

A set of 250 data values is normally distributed with a mean of 50 and a standard deviation of 5.5
What is the probability that a data value selected at random is greater than 39$?$

Derrick H.
Numerade Educator