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mathematics
elementary statistics picturing

Elementary Statistics Picturing The World 7th Edition Ron Larson, Betsy Farber - Solutions

Use your school’s library, the Internet, or some other reference source to find a real-life data set with the indicated cause-and-effect relationship. Write a paragraph describing each variable and explain why you think the variables have the indicated cause-and-effect relationship.(a) Direct
The statement represents a claim. Write its complement and state which is H0 and which is Ha.P ≥ 0.64
The statement represents a claim. Write its complement and state which is H0 and which is Ha.σ > 1.9
The statement represents a claim. Write its complement and state which is H0 and which is Ha.μ ≠ 150,020
The statement represents a claim. Write its complement and state which is H0 and which is Ha.p < 0.205
The statement represents a claim. Write its complement and state which is H0 and which is Ha.μ = 82
The statement represents a claim. Write its complement and state which is H0 and which is Ha.μ ≤ 375
Use the P-value method to perform the hypothesis test for the indicated exercise.Exercise 28Data from Exercise 28:A travel analyst claims that the standard deviation of the room rates for two adults at three-star hotels in Denver is at least $68. A random sample of 18 three-star hotels has a
Use the P-value method to perform the hypothesis test for the indicated exercise.Exercise 27Data from Exercise 27:A hospital claims that the standard deviation of the waiting times for patients in its emergency department is no more than 0.5 minute. A random sample of 25 waiting times has a
Find the margin of error for the values of c, σ, and n.c = 0.975, σ = 4.6, n = 100
Find the margin of error for the values of c, σ, and n.c = 0.80, σ = 1.3, n = 75
Find the margin of error for the values of c, σ, and n.c = 0.90, σ = 2.9, n = 50
Find the margin of error for the values of c, σ, and n.c = 0.95, σ = 5.2, n = 30
Use the values on the number line to find the sampling error. X = 46.56 u = 48.12 48 46 47 49 x+
Compare your results in Exercise 46 with the equation of the regression line and its graph. Which equation is a better model for the data? Explain.The logarithmic equation is a nonlinear regression equation of the form y = a + b lnx. Use this information and technology.
Compare your results in Exercise 45 with the equation of the regression line and its graph. Which equation is a better model for the data? Explain.The logarithmic equation is a nonlinear regression equation of the form y = a + b lnx. Use this information and technology.Data from Exercise 45:Find
Find and graph the logarithmic equation for the data in Exercise 26.The logarithmic equation is a nonlinear regression equation of the form y = a + b lnx. Use this information and technology.Data from Exercise 26:The ages (in years) of 10 infants and the numbers of hours each slept in a day Age, r
Find and graph the logarithmic equation for the data in Exercise 25.The logarithmic equation is a nonlinear regression equation of the form y = a + b lnx. Use this information and technology.Data from Exercise 25:The shoe sizes and heights (in inches) of 14 men 8.5 Shoe size, x 9.5 10.5 10.0 10.0
A salary analyst claims that the population has a significant correlation for α = 0.01. Test this claim.Use the table, which shows the years of experience of 14 registered nurses and their annual salaries (in thousands of dollars). Years of 0.5 5 10 experience, x Annual salary (in thousands of
An analyst used the regression line you found in Exercise 28 to predict the annual salary for a registered nurse with 28 years of experience. Is this a valid prediction? Explain your reasoning.Use the table, which shows the years of experience of 14 registered nurses and their annual salaries (in
Find an equation of the regression line for the data. Sketch a scatter plot of the data and draw the regression line.Use the table, which shows the years of experience of 14 registered nurses and their annual salaries (in thousands of dollars). Years of 0.5 5 10 experience, x Annual salary (in
Using the scatter plot of the registered nurse salary data shown below, what type of correlation, if any, do you think the data have? Explain.Use the table, which shows the years of experience of 14 registered nurses and their annual salaries (in thousands of dollars). Registered Nurses 75 70 65 60
The ages (in years) of 10 infants and the numbers of hours each slept in a day(a) x = 0.3 year (b) x = 3.9 years(c) x = 0.6 year (d) x = 0.8 yearFind the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line. (Each pair of
The number of employees and the 2016 revenue (in millions of dollars) of 13 hotel and gaming companies(a) x = 32,500 employees (b) x = 6000 employees(c) x = 1350 employees (d) x = 47,000 employeesFind the equation of the regression line for the data. Then construct a scatter plot of the
The lengths (in centimeters) and girths (in centimeters) of 12 harbor seals(a) x = 140 centimeters (b) x = 172 centimeters(c) x = 164 centimeters (d) x = 158 centimetersFind the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression
The number of goals scored and the number of wins for the top 10 teams in the 2016–2017 English Premier League season(a) x = 50 goals (b) x = 70 goals(c) x = 75 goals (d) x = 95 goalsFind the equation of the regression line for the data. Then construct a scatter plot of the data and
The square footages and sale prices (in thousands of dollars) of seven homes in Akron, Ohio, are shown in the table at the left. (a) x = 1450 square feet (b) x = 2720 square feet(c) x = 2175 square feet (d) x = 890 square feetFind the equation of the regression line for the data.
The heights (in feet) and the numbers of stories of the nine tallest buildings in Houston, Texas(a) x = 950 feet (b) x = 850 feet(c) x = 800 feet (d) x = 700 feetFind the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line.
Match the regression equation with the appropriate graph.ŷ = -0.705x + 27.214 b. a. 30 25 25 20 20 15 15 10 10 5+ х 5 10 15 20 25 30 35 40 4 6. 10 d. y C. 140 70 120 60 100 50 80 40 60 30 40 20 20 10 -x- 10 20 30 40 50 10 15 20 25 30
Match the regression equation with the appropriate graph.ŷ = 2.125x + 9.588 b. a. 30 25 25 20 20 15 15 10 10 5+ х 5 10 15 20 25 30 35 40 4 6. 10 d. y C. 140 70 120 60 100 50 80 40 60 30 40 20 20 10 -x- 10 20 30 40 50 10 15 20 25 30
Match the regression equation with the appropriate graph.ŷ = 2.115x + 21.958 b. a. 30 25 25 20 20 15 15 10 10 5+ х 5 10 15 20 25 30 35 40 4 6. 10 d. y C. 140 70 120 60 100 50 80 40 60 30 40 20 20 10 -x- 10 20 30 40 50 10 15 20 25 30
Match the regression equation with the appropriate graph.ŷ = -1.361x + 21.952 b. a. 30 25 25 20 20 15 15 10 10 5+ х 5 10 15 20 25 30 35 40 4 6. 10 d. y C. 140 70 120 60 100 50 80 40 60 30 40 20 20 10 -x- 10 20 30 40 50 10 15 20 25 30
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅The point a regression line always passes through.
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅The mean of the y-values.
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅y-intercept
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅Slope
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅The y-value for a point on the regression line corresponding to xi.
Match the description in the left column with its symbol(s) in the right column.a. ŷtb. ytc. bd. (x̅, y̅)e. mf. y̅The y-value of a data point corresponding to xi.
Why is it not appropriate to use a regression line to predict y-values for x-values that are not in (or close to) the range of x-values found in the data?
In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables?
For a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y.
Explain how to predict y-values using the equation of a regression line.
Two variables have a positive linear correlation. Is the slope of the regression line for the variables positive or negative?
The table shows the net sales (in billions of dollars), total assets (in billions of dollars), and shareholder’s equities (in billions of dollars) for Wal-Mart for six years.Use technology to find (a) The multiple regression equation for the data shown in the table, (b) The standard
The table shows the prices (in dollars), age (in years), and mileage (in thousands of miles) of eight pre-owned Honda Civic Sedans.Use technology to find (a) The multiple regression equation for the data shown in the table, (b) The standard error of estimate, and (c) The coefficient
Find the standard error of estimate se and interpret the results.Use the figure shown below. Keeping cars longer The median age of vehicles on U.S. roads for eight different years: Median age in years Cars, x Light Trucks, y 10.4 10.5 10.8 11.1 11.3 11.4 11.4 11.5 9.8 10.1 10.5 10.8 11.1 11.3 11.4
Find the coefficient of determination r2 and interpret the results.Use the figure shown below. Keeping cars longer The median age of vehicles on U.S. roads for eight different years: Median age in years Cars, x Light Trucks, y 10.4 10.5 10.8 11.1 11.3 11.4 11.4 11.5 9.8 10.1 10.5 10.8 11.1 11.3
Find and draw the regression line.Use the figure shown below. Keeping cars longer The median age of vehicles on U.S. roads for eight different years: Median age in years Cars, x Light Trucks, y 10.4 10.5 10.8 11.1 11.3 11.4 11.4 11.5 9.8 10.1 10.5 10.8 11.1 11.3 11.4 11.5
Construct a scatter plot of the data. Show y̅ and x̅ on the graph.Use the figure shown below. Keeping cars longer The median age of vehicles on U.S. roads for eight different years: Median age in years Cars, x Light Trucks, y 10.4 10.5 10.8 11.1 11.3 11.4 11.4 11.5 9.8 10.1 10.5 10.8 11.1 11.3
Construct a 90% prediction interval for the total assets in federal defined benefit plans in Exercise 18 when the total assets in IRAs is $6200 billion.Construct the indicated prediction interval and interpret the results.Data from Exercise 18:The table shows the total assets (in billions of
Construct a 95% prediction interval for the amount of crude oil imported by the United States in Exercise 17 when the amount of crude oil produced by the United States is 8 million barrels per day.Construct the indicated prediction interval and interpret the results.Data from Exercise 17:The table
Construct a 99% prediction interval for the mean annual wage in Exercise 15 when the percentage of employment in STEM occupations is 13% in the industry.Construct the indicated prediction interval and interpret the results.Data from exercise 15:The table shows the percentage of employment in STEM
Construct a 90% prediction interval for total points earned in Exercise 13 when the number of goals allowed by the team is 250.Construct the indicated prediction interval and interpret the results.Data from Exercise 13:The table shows the number of goals allowed and the total points earned (2
The table shows the numbers of new-vehicle sales (in thousands) in the United States for Toyota and Honda for 11 years. The equation of the regression line is ŷ = 0.460x + 410.839.Use the data to (a) Find the coefficient of determination r2 and interpret the result, and (b) Find the
The table shows the numbers of new-vehicle sales (in thousands) in the United States for Ford and General Motors for 11 years. The equation of the regression line is ŷ = 1.624x - 747.304.Use the data to (a) Find the coefficient of determination r2 and interpret the result, and (b) Find
The table shows the total assets (in billions of dollars) of individual retirement accounts (IRAs) and federal defined benefit (DB) plans for ten years. The equation of the regression line is ŷ = 0.140x + 453.959.Use the data to (a) Find the coefficient of determination r2 and interpret the
The table shows the amounts of crude oil (in thousands of barrels per day) produced by the United States and the amounts of crude oil (in thousands of barrels per day) imported by the United States for seven years. The equation of the regression line is ŷ = -0.438x + 11,404.947.Use the data
The U.S. voting age populations (in millions) and the number of ballots cast (in millions) for the highest office in federal elections for nine nonpresidential election years are shown in the table. The equation of the regression line is ŷ = 0.276x + 18.881.Use the data to (a) Find the
The table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and mean annual wage (in thousands of dollars) for 16 industries. The equation of the regression line is ŷ = 1.153x + 46.374.Use the data to (a) Find the coefficient of determination
The table shows the number of goals allowed and the total points earned (2 points for a win and 1 point for an overtime or shootout loss) by the 14 Western Conference teams in the 2016–2017 National Hockey League season. The equation of the regression line is ŷ = -0.573x + 220.087.Use the data
The table shows the median annual earnings (in dollars) of male and female workers from 10 states in a recent year. The equation of the regression line is ŷ = 1.005x - 10,770.313.Use the data to (a) Find the coefficient of determination r2 and interpret the result, and(b) Find the standard
The numbers of initial public offerings of stock issued and the total proceeds of these offerings (in millions of dollars) for 12 years are shown in the table. The equation of the regression line is ŷ = 104.965x + 14,093.666.Use the data to (a) Find the coefficient of determination r2 and
Use the value of the correlation coefficient r to calculate the coefficient of determination r2. What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?r = 0.881
Use the value of the correlation coefficient r to calculate the coefficient of determination r2. What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?r = -0.957
Use the value of the correlation coefficient r to calculate the coefficient of determination r2. What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?r = -0.328
Use the value of the correlation coefficient r to calculate the coefficient of determination r2. What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?r = 0.465
Two variables have a bivariate normal distribution. Explain what this means.
Describe the unexplained variation about a regression line in words and in symbols.Use the figure. (х, у). (х 9) y =y х
Describe the explained variation about a regression line in words and in symbols.Use the figure. (х, у). (х 9) y =y х
Describe the total variation about a regression line in words and in symbols.Use the figure. (х, у). (х 9) y =y х
Use the data for Oklahoma and Massachusetts to test whether state and age are independent. Use α = 0.05.Use the table, which lists the distribution of the ages of workers who carpool in Maine. It also lists the results of a random survey for two additional states.(a) Identify the claim and state
Is the distribution of the ages of workers who carpool in Maine the same as the distribution of the ages of workers who carpool in Massachusetts? Use α = 0.01.Use the table, which lists the distribution of the ages of workers who carpool in Maine. It also lists the results of a random survey for
Does the distribution of the ages of workers who carpool in Maine differ from the distribution of the ages of workers who carpool in Oklahoma? Use α = 0.10.Use the table, which lists the distribution of the ages of workers who carpool in Maine. It also lists the results of a random survey for two
Are the mean hourly wages of respiratory therapist technicians the same for all three states? Use α = 0.01. Assume that the population variances are equal.Use the data, which list the hourly wages (in dollars) for randomly selected respiratory therapy technicians from three states. Assume the
At α = 0.01, is there enough evidence to conclude that the variance of the hourly wages for respiratory therapy technicians in Oklahoma is greater than the variance of the hourly wages for respiratory therapy technicians in Massachusetts?Use the data, which list the hourly wages (in dollars) for
At α = 0.05, is there enough evidence to conclude that the variances of the hourly wages for respiratory therapy technicians in Maine and Massachusetts are the same?Use the data, which list the hourly wages (in dollars) for randomly selected respiratory therapy technicians from three states.
Find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.01, d.f.N = 11, d.f.D = 13
Find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.01, d.f.N = 40, d.f.D = 60
Find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.05, d.f.N = 9, d.f.D = 8
Find the critical F-value for a two-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.10, d.f.N = 15, d.f.D = 27
Find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.05, d.f.N = 20, d.f.D = 25
Find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.10, d.f.N = 5, d.f.D = 12
Find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.01, d.f.N = 12, d.f.D = 10
Find the critical F-value for a right-tailed test using the level of significance a and degrees of freedom d.f.N and d.f.D.α = 0.05, d.f.N = 6, d.f.D = 50
The contingency table shows the distribution of a random sample of fatal pedestrian motor vehicle collisions by time of day and gender in a recent year. At α = 0.10, can you conclude that time of day and gender are related?(a) Find the expected frequency for each cell in the contingency table,(b)
The contingency table shows the results of a random sample of endangered and threatened species by status and vertebrate group. At α = 0.05, test the hypothesis that the variables are independent.(a) Find the expected frequency for each cell in the contingency table,(b) Identify the claim and
The contingency table shows the results of a random sample of public elementary and secondary school teachers by gender and years of full-time teaching experience. At α = 0.01, can you conclude that gender is related to the years of full-time teaching experience?(a) Find the expected frequency for
An education researcher claims that the charges for tuition, fees, room, and board at 4-year degree-granting postsecondary institutions are uniformly distributed. To test this claim, you randomly select 800 4-year degree-granting postsecondary institutions and determine the charges for tuition,
A researcher claims that the distribution of the lengths of visits at physician offices is different from the distribution shown in the pie chart. You randomly select 400 people and ask them how long their office visits with a physician were. The table shows the results. At α = 0.01, test the
The table shows the sale prices (in thousands of dollars) of a sample of one-family houses in three cities. At α = 0.10, can you conclude that at least one mean sale price is different from the others?(a) Identify the claim and state H0 and Ha, (b) Find the critical value and identify the
The table shows the salaries of a sample of individuals from six large metropolitan areas. At α = 0.05, can you conclude that the mean salary is different in at least one of the areas?(a) Identify the claim and state H0 and Ha, (b) Find the critical value and identify the rejection
The well-being index is a way to measure how people are faring physically, emotionally, socially, and professionally, as well as to rate the overall quality of their lives and their outlooks for the future. The table shows the well-being index scores for a sample of states from four regions of the
The table shows the costs per mile (in cents) for a sample of automobiles. At α = 0.01, can you conclude that at least one mean cost per mile is different from the others?(a) Identify the claim and state H0 and Ha, (b) Find the critical value and identify the rejection region, (c) Find
The table shows the salaries (in thousands of dollars) for a sample of individuals from the federal, state, and local levels of government. At α = 0.01, can you conclude that at least one mean salary is different from the others?(a) Identify the claim and state H0 and Ha, (b) Find the
The table shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At α = 0.05, is there enough evidence to conclude that at least one mean battery price is different from the others?(a) Identify the claim and state H0 and
Describe the difference between the variance between samples MSB and the variance within samples MSW.
What conditions are necessary in order to use a one-way ANOVA test?
State the null and alternative hypotheses for a one-way ANOVA test.
An employment information service claims that the standard deviation of the annual salaries for public relations managers is less in Florida than in Louisiana. You select a sample of public relations managers from each state. The results of each survey are shown in the figure. At α = 0.05, can you
An employment information service claims that the standard deviation of the annual salaries for actuaries is less in California than in New York. You select a sample of actuaries from each state. The results of each survey are shown in the figure. At α = 0.05, can you support the service’s

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