Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 4.1, Problem 39E
Linear Transformation of a Random Variable In Exercises 39 and 40, use this information about linear transformations. For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has
39. The mean annual salary of employees at an office is originally $46,000. Each employee receives an annual bonus of $600 and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise)?
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Reading is fundamental to a teenager's ability to perform well in school. Assume a researcher is
interested in the ability of the number of books read over the summer to predict ACT Reading
scores. Using a random sample of 10 random high school students the researchers recorded the
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Books Read (X) ACT Score (Y) (X- Xmean)
(Y - Ymean)
(X-Xmean)(Y-Ymean) (X-Xmean)?
(Y - Ymean)?
2
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-14.9
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221
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19
-5.4
-11.9
64
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141
3
17
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-13.9
61
20
192
4
25
-3.4
-5.9
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12
34
21
-3.4
-9.9
34
12
97
24
-1.4
-6.9
10
2
47
6
21
-1.4
-9.9
14
2
97
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24
0.6
-6.9
-4
47
7
27
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216
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969.3
МEAN
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30.9
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score. Use a = .05 to evaluate the quality of the prediction of the regression line.
b. What is the predicted ACT Reading score when 5 books are read?
i, j
The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
Group of answer choices
True
False
Chapter 4 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 4.1 - Determine whether each random variable x is...Ch. 4.1 - A company tracks the number of sales new employees...Ch. 4.1 - Verify that the distribution you constructed in...Ch. 4.1 - Determine whether each distribution is a...Ch. 4.1 - Find the mean of the probability distribution you...Ch. 4.1 - Find the variance and standard deviation of the...Ch. 4.1 - At a raffle, 2000 tickets are sold at 5 each for...Ch. 4.1 - What is a random variable? Give an example of a...Ch. 4.1 - What is a discrete probability distribution? What...Ch. 4.1 - Is the expected value of the probability...
Ch. 4.1 - What does the mean of a probability distribution...Ch. 4.1 - True or False? In Exercises 58, determine whether...Ch. 4.1 - True or False? In Exercises 58, determine whether...Ch. 4.1 - True or False? In Exercises 58, determine whether...Ch. 4.1 - True or False? In Exercises 58, determine whether...Ch. 4.1 - Graphical Analysis In Exercises 912, determine...Ch. 4.1 - Graphical Analysis In Exercises 912, determine...Ch. 4.1 - Graphical Analysis In Exercises 912, determine...Ch. 4.1 - Graphical Analysis In Exercises 912, determine...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Discrete Variables and Continuous Variables In...Ch. 4.1 - Constructing and Graphing Discrete Probability...Ch. 4.1 - Constructing and Graphing Discrete Probability...Ch. 4.1 - Finding Probabilities Use the probability...Ch. 4.1 - Finding Probabilities Use the probability...Ch. 4.1 - Unusual Events In Exercise 19, would it be unusual...Ch. 4.1 - Unusual Events In Exercise 20, would it be unusual...Ch. 4.1 - Determining a Missing Probability In Exercises 25...Ch. 4.1 - Determining a Missing Probability In Exercises 25...Ch. 4.1 - Identifying Probability Distributions In Exercises...Ch. 4.1 - Identifying Probability Distributions In Exercises...Ch. 4.1 - Finding the Mean, Variance, and Standard Deviation...Ch. 4.1 - Baseball The number of games played in each World...Ch. 4.1 - Finding the Mean, Variance, and Standard Deviation...Ch. 4.1 - Finding the Mean, Variance, and Standard Deviation...Ch. 4.1 - Hurricanes The histogram shows the distribution of...Ch. 4.1 - Reviewer Ratings The histogram shows the reviewer...Ch. 4.1 - Writing The expected value of an accountants...Ch. 4.1 - Writing In a game of chance, what is the...Ch. 4.1 - Finding an Expected Value In Exercises 37and 38,...Ch. 4.1 - A high school basketball team is selling 10 raffle...Ch. 4.1 - Linear Transformation of a Random Variable In...Ch. 4.1 - Prob. 40ECh. 4.1 - What is the average sum of their scores? What is...Ch. 4.1 - What is the standard deviation of the difference...Ch. 4.2 - Determine whether the experiment is a binomial...Ch. 4.2 - A card is selected from a standard deck and...Ch. 4.2 - A survey found that 52% of U.S. adults associate...Ch. 4.2 - The survey in Example 5 found that 27% of U.S....Ch. 4.2 - About 5% of workers (ages 16 years and older) in...Ch. 4.2 - A recent study found that 28% of U.S. adults read...Ch. 4.2 - In San Francisco, California, about 44% of the...Ch. 4.2 - In a binomial experiment, what does it mean to say...Ch. 4.2 - In a binomial experiment with n trials, what does...Ch. 4.2 - Graphical Analysis In Exercises 35, the histogram...Ch. 4.2 - Graphical Analysis In Exercises 35, the histogram...Ch. 4.2 - Graphical Analysis In Exercises 35, the histogram...Ch. 4.2 - Graphical Analysis In Exercises 68, the histogram...Ch. 4.2 - Graphical Analysis In Exercises 68, the histogram...Ch. 4.2 - Graphical Analysis In Exercises 68, the histogram...Ch. 4.2 - Identify the unusual values of x in each histogram...Ch. 4.2 - Identify the unusual values of x in each histogram...Ch. 4.2 - Mean, Variance, and Standard Deviation In...Ch. 4.2 - Mean, Variance, and Standard Deviation In...Ch. 4.2 - Mean, Variance, and Standard Deviation In...Ch. 4.2 - Mean, Variance, and Standard Deviation In...Ch. 4.2 - Identifying and Understanding Binomial Experiments...Ch. 4.2 - Identifying and Understanding Binomial Experiments...Ch. 4.2 - Identifying and Understanding Binomial Experiments...Ch. 4.2 - Identifying and Understanding Binomial Experiments...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Finding Binomial Probabilities In Exercises 1926,...Ch. 4.2 - Constructing and Graphing Binomial Distributions...Ch. 4.2 - Constructing and Graphing Binomial Distributions...Ch. 4.2 - Constructing and Graphing Binomial Distributions...Ch. 4.2 - Constructing and Graphing Binomial Distributions...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Finding and Interpreting Mean, Variance, and...Ch. 4.2 - Genetics According to a theory in genetics, when...Ch. 4.2 - Genetics Another proposed theory in genetics gives...Ch. 4.2 - Manufacturing An assembly line produces 10,000...Ch. 4.2 - Prob. 1ACh. 4.2 - Prob. 2ACh. 4.2 - For the election in Exercise 1, simulate selecting...Ch. 4.2 - 1. Construct a probability distribution for the...Ch. 4.2 - 2. Construct binomial probability distributions...Ch. 4.2 - 3. Compare your distributions from Exercise 1 and...Ch. 4.2 - 4. During the 2016 regular season, Kris Bryant of...Ch. 4.3 - The study in Example 1 found that the smartphones...Ch. 4.3 - What is the probability that more than four...Ch. 4.3 - Two thousand brown trout are introduced into a...Ch. 4.3 - In Exercises 14, find the indicated probability...Ch. 4.3 - Prob. 2ECh. 4.3 - In Exercises 14, find the indicated probability...Ch. 4.3 - Prob. 4ECh. 4.3 - In Exercises 58, find the indicated probability...Ch. 4.3 - Prob. 6ECh. 4.3 - In Exercises 58, find the indicated probability...Ch. 4.3 - In Exercises 58, find the indicated probability...Ch. 4.3 - Prob. 9ECh. 4.3 - In your own words, describe the difference between...Ch. 4.3 - Prob. 11ECh. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Using a Distribution to Find Probabilities In...Ch. 4.3 - Comparing Binomial and Poisson Distributions An...Ch. 4.3 - Hypergeometric Distribution Binomial experiments...Ch. 4.3 - Geometric Distribution: Mean and Variance In...Ch. 4.3 - Geometric Distribution: Mean and Variance In...Ch. 4.3 - Prob. 31ECh. 4.3 - Geometric Distribution: Mean and Variance In...Ch. 4 - In Exercises 13, assume the fire department...Ch. 4 - In Exercises 13, assume the fire department...Ch. 4 - In Exercises 13, assume the fire department...Ch. 4 - In Exercises 1 and 2, determine whether the random...Ch. 4 - In Exercises 1 and 2, determine whether the random...Ch. 4 - In Exercises 3 and 4, (a) construct a probability...Ch. 4 - In Exercises 3 and 4, (a) construct a probability...Ch. 4 - In Exercises 5 and 6, determine whether the...Ch. 4 - In Exercises 5 and 6, determine whether the...Ch. 4 - In Exercises 7 and 8, (a) find the mean, variance,...Ch. 4 - In Exercises 7 and 8, (a) find the mean, variance,...Ch. 4 - In Exercises 9 and 10, find the expected net gain...Ch. 4 - In Exercises 9 and 10, find the expected net gain...Ch. 4 - In Exercises 11 and 12, determine whether the...Ch. 4 - In Exercises 11 and 12, determine whether the...Ch. 4 - In Exercises 1316, find the indicated binomial...Ch. 4 - In Exercises 1316, find the indicated binomial...Ch. 4 - In Exercises 1316, find the indicated binomial...Ch. 4 - In Exercises 1316, find the indicated binomial...Ch. 4 - In Exercises 17 and 18, (a) construct a binomial...Ch. 4 - In Exercises 17 and 18, (a) construct a binomial...Ch. 4 - In Exercises 19 and 20, find the mean, variance,...Ch. 4 - In Exercises 19 and 20, find the mean, variance,...Ch. 4 - In Exercises 2126, find the indicated...Ch. 4 - Prob. 4.3.22RECh. 4 - In Exercises 2126, find the indicated...Ch. 4 - Prob. 4.3.24RECh. 4 - Prob. 4.3.25RECh. 4 - In Exercises 2126, find the indicated...Ch. 4 - Determine whether the random variable x is...Ch. 4 - The table lists the number of wireless devices per...Ch. 4 - Prob. 3CQCh. 4 - The five-year success rate of kidney transplant...Ch. 4 - An online magazine finds that the mean number of...Ch. 4 - Basketball player Dwight Howard makes a free throw...Ch. 4 - Which event(s) in Exercise 6 can be considered...Ch. 4 - In Exercises 13find the indicated probabilities...Ch. 4 - In Exercises 13, find the indicated probabilities...Ch. 4 - In Exercises 13find the indicated probabilities...Ch. 4 - Determine whether the distribution is a...Ch. 4 - The table shows the ages of students in a freshman...Ch. 4 - Seventy-seven percent of U.S. college students pay...Ch. 4 - The Centers for Disease Control and Prevention...Ch. 4 - The Centers for Disease Control and Prevention...Ch. 4 - Suspicious Samples? A lab worker tells you that...Ch. 4 - In Exercises 17, consider a grocery store that can...Ch. 4 - In Exercises 17, consider a grocery store that can...Ch. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - In Exercises 17, consider a grocery store that can...Ch. 4 - In Exercises 17, consider a grocery store that can...
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