Elementary Statistics: Picturing the World Books a la carte Plus MyLab Statistics with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134685205
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 4.1, Problem 36E
Writing In a game of chance, what is the relationship between a “fair bet” and its
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1. Find the mean of the x-values (x-bar)
and the mean of the y-values (y-bar) and write/label each here:
2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth
columns, show the 'products' of what you're multiplying, as well as the answers.
X
y
x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar)
(x minus x-bar)^2
xy
16
20
34
4-2
5 2
3. Write the sums that represents Sxx and Sxy in the table, at the bottom of their respective columns.
4. Find the slope of the Regression line: bi
=
(simplify your answer)
5. Find the y-intercept of the Regression line, and then write the equation of the Regression line.
Show your work. Then, BOX your final answer. Express your line as "y-hat equals...
Apply STATA commands & submit the output for each question only when
indicated below
i.
Generate the log of birthweight and family income of children. Name
these new variables Ibwght & Ifaminc. Include the output of this
code.
ii. Apply the command sum with the detail option to the variable
faminc. Note: you should find the 25th percentile value, the 50th
percentile and the 75th percentile value of faminc from the output -
you will need it to answer the next question Include the output of this
code.
iii.
iv.
Use the output from part ii of this question to Generate a variable
called "high_faminc" that takes a value 1 if faminc is less than or
equal to the 25th percentile, it takes the value 2 if faminc is greater
than 25th percentile but less than or equal to the 50th percentile, it
takes the value 3 if faminc is greater than 50th percentile but less than
or equal to the 75th percentile, it takes the value 4 if faminc is greater
than the 75th percentile. Include the outcome of this code…
solve this on paper
Chapter 4 Solutions
Elementary Statistics: Picturing the World Books a la carte Plus MyLab Statistics with Pearson eText -- Access Card Package (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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- Apply STATA commands & submit the output for each question only when indicated below i. Apply the command egen to create a variable called "wyd" which is the rowtotal function on variables bwght & faminc. ii. Apply the list command for the first 10 observations to show that the code in part i worked. Include the outcome of this code iii. Apply the egen command to create a new variable called "bwghtsum" using the sum function on variable bwght by the variable high_faminc (Note: need to apply the bysort' statement) iv. Apply the "by high_faminc" statement to find the V. descriptive statistics of bwght and bwghtsum Include the output of this code. Why is there a difference between the standard deviations of bwght and bwghtsum from part iv of this question?arrow_forwardAccording to a health information website, the distribution of adults’ diastolic blood pressure (in millimeters of mercury, mmHg) can be modeled by a normal distribution with mean 70 mmHg and standard deviation 20 mmHg. b. Above what diastolic pressure would classify someone in the highest 1% of blood pressures? Show all calculations used.arrow_forwardWrite STATA codes which will generate the outcomes in the questions & submit the output for each question only when indicated below i. ii. iii. iv. V. Write a code which will allow STATA to go to your favorite folder to access your files. Load the birthweight1.dta dataset from your favorite folder and save it under a different filename to protect data integrity. Call the new dataset babywt.dta (make sure to use the replace option). Verify that it contains 2,998 observations and 8 variables. Include the output of this code. Are there missing observations for variable(s) for the variables called bwght, faminc, cigs? How would you know? (You may use more than one code to show your answer(s)) Include the output of your code (s). Write the definitions of these variables: bwght, faminc, male, white, motheduc,cigs; which of these variables are categorical? [Hint: use the labels of the variables & the browse command] Who is this dataset about? Who can use this dataset to answer what kind of…arrow_forward
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