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mathematics
elementary statistics picturing

Questions and Answers of Elementary Statistics Picturing

Find the critical F-value for a two-tailed test using the level of significance α and degrees of freedom d.f.N and d.f.D.α = 0.05, d.f. N = 60, d.f.D = 40
Find the critical F-value for a two-tailed test using the level of significance α and degrees of freedom d.f.N and d.f.D.α = 0.10, d.f. N = 24, d.f.D = 28
Find the critical F-value for a two-tailed test using the level of significance α and degrees of freedom d.f.N and d.f.D.α = 0.01, d.f.N = 6, d.f.D = 7
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 = 0.025, d.f. N = 7, d.f.D = 3
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 = 10, d.f. D = 15
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 = 2, d.f. D = 11
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 = 9, d.f. D = 16
List the three conditions that must be met in order to use a two-sample F-test.
Explain how to find the critical value for an F-test.
What percent of U.S. adults ages 25 and over who are not high school graduates are unemployed?Use the contingency table, and the information below. Relative frequencies can also be calculated based
What percent of U.S. adults ages 25 and over who have a degree are not in the labor force?Use the contingency table, and the information below. Relative frequencies can also be calculated based on
Calculate the conditional relative frequencies in the contingency table based on the column totals.Use the contingency table, and the information below. Relative frequencies can also be calculated
What percent of U.S. adults ages 25 and over who are not in the labor force have some college education, but no degree?Use the contingency table, and the information below. Relative frequencies can
What percent of U.S. adults ages 25 and over who are employed have a degree?Use the contingency table, and the information below. Relative frequencies can also be calculated based on the row totals
Calculate the conditional relative frequencies in the contingency table based on the row totals.Use the contingency table, and the information below. Relative frequencies can also be calculated based
What percent of U.S. adults ages 25 and over (a) Are employed and are only high school graduates, (b) Are not in the labor force, and (c) Are not high school graduates?Use the
What percent of U.S. adults ages 25 and over (a) Have a degree and are unemployed and (b) Have some college education, but no degree, and are not in the labor force?Use the information
Explain why you cannot perform the chi-square independence test on these data.Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing
Rewrite the contingency table using relative frequencies.Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing each frequency by
Is the chi-square homogeneity of proportions test a left-tailed, right-tailed, or two-tailed test?
The contingency table shows the results of a random sample of motor vehicle crash deaths by age and gender. At α = 0.05, perform a homogeneity of proportions test on the claim that the proportions
Use the contingency table and expected frequencies from Exercise 12. At α = 0.10, test the hypothesis that the variables are dependent.Perform the indicated chi-square independence test by
Use the contingency table and expected frequencies from Exercise 11. At α = 0.10, test the hypothesis that the variables are independent.Perform the indicated chi-square independence test by
Use the contingency table and expected frequencies from Exercise 10. At α = 0.01, test the hypothesis that the variables are dependent.Perform the indicated chi-square independence test by
Use the contingency table and expected frequencies from Exercise 9. At a = 0.05, test the hypothesis that the variables are dependent.Perform the indicated chi-square independence test by performing
The contingency table shows the results of a random sample of fatally injured passenger vehicle drivers (with blood alcohol concentrations greater than or equal to 0.08) by age and gender. At α =
You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved in passenger vehicle occupant deaths. As part of your study, you randomly select
A financial aid officer is studying the relationship between who borrows money to pay for college in a family and the income of the family. As part of the study, 1593 families are randomly selected
The contingency table shows a random sample of white, black, and Hispanic college students based on whether their family borrowed money to pay for their college education. At α = 0.01, can you
Use the contingency table and expected frequencies from Exercise 8. At α = 0.05, test the hypothesis that the variables are dependent.Perform the indicated chi-square independence test by performing
Use the contingency table and expected frequencies from Exercise 7. At α = 0.01, test the hypothesis that the variables are independent.Perform the indicated chi-square independence test by
(a) Calculate the marginal frequencies and (b) Find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Age Type of movie rented 45-64 65
When the test statistic for the chi-square independence test is large, you will, in most cases, reject the null hypothesis.Determine whether the statement is true or false. If it is false, rewrite it
If the two variables in a chi-square independence test are dependent, then you can expect little difference between the observed frequencies and the expected frequencies.Determine whether the
Explain why the chi-square independence test is always a right-tailed test.
Explain the difference between marginal frequencies and joint frequencies in a contingency table.
Explain how to find the expected frequency for a cell in a contingency table.
A doctor claims that the number of births by day of the week is uniformly distributed. To test this claim, you randomly select 700 births from a recent year and record the day of the week on which
A researcher claims that the number of homicide crimes in California by month is uniformly distributed. To test this claim, you randomly select 1800 homicides from a recent year and record the month
A researcher claims that the number of homicide crimes in California by county is uniformly distributed. To test this claim, you randomly select 1000 homicides from a recent year and record the
A financial analyst claims that the distribution of people who use cash to make their purchases is different from the distribution shown in the figure. You randomly select 600 people and record the
n = 415, pi = 0.08Find the expected frequency for the values of n and pi.
n = 230, pi = 0.25Find the expected frequency for the values of n and pi.
n = 500, pi = 0.9Find the expected frequency for the values of n and pi.
Find the expected frequency for the values of n and pi.n = 150, pi = 0.3
What conditions are necessary to use the chi-square goodness-of-fit test?
The equation used to predict the stock price (in dollars) at the end of the year for a restaurant chain isŷ = -86 + 7.46x1 - 1.61x2where x1 is the total revenue (in billions of dollars) and x2 is
Construct a 95% prediction interval for the average annual salary of elementary school teachers when the average annual salary of secondary school teachers is $52,500. Interpret the results.Use the
Find the standard error of estimate se and interpret the result.Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for secondary and elementary school
Find the coefficient of determination r2 and interpret the result.Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for secondary and elementary school
Use the regression equation that you found in Exercise 4 to predict the average annual salary of elementary school teachers when the average annual salary of secondary school teachers is $52,500.Use
Find the equation of the regression line for the data. Draw the regression line on the scatter plot that you constructed in Exercise 1.Use the data in the table, which shows the average annual
Test the significance of the correlation coefficient r that you found in Exercise 2. Use α = 0.05.Use the data in the table, which shows the average annual salaries (both in thousands of dollars)
Calculate the correlation coefficient r and interpret the result.Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for secondary and elementary school
Construct a scatter plot for the data. Do the data appear to have a positive linear correlation, a negative linear correlation, or no linear correlation? Explain.Use the data in the table, which
Construct a 99% prediction interval for the top speed of a hybrid or electric car in Exercise 17 that has a combined city and highway fuel economy of 90 miles per gallon equivalentConstruct the
Construct a 90% prediction interval for the amount of milk produced in Exercise 9 when there are an average of 9275 milk cows.Construct the indicated prediction interval and interpret the
The table shows the cooking areas (in square inches) of 18 gas grills and their prices (in dollars). The regression equation is ŷ = 2.335x - 853.278.Use the data to (a) Find the coefficient of
The table shows the combined city and highway fuel efficiency (in miles per gallon gasoline equivalent) and top speeds (in miles per hour) for nine hybrid and electric cars. The regression equation
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
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
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
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
The average times (in hours) per day spent watching television for men and women for 10 years.(a) x = 2.85 hours (b) x = 2.97 hours(c) x = 3.04 hours (d) x = 3.13 hoursFind the equation of
The average number (in thousands) of milk cows and the amounts (in billions of pounds) of milk produced in the United States for eight years.(a) x = 9080 cows (b) x = 9230 cows(c) x = 9250
The numbers of wildland fires (in thousands) and wildland acres burned (in millions) in the United States for eight years.(a) Display the data in a scatter plot, (b) Calculate the sample
The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season.(a) Display the data in a scatter plot, (b) Calculate the sample correlation
In Exercise 59, is there enough evidence to reject the claim at the α = 0.01 level? Explain.Data from Exercise 59;A bolt manufacturer makes a type of bolt to be used in airtight containers. The
In Exercise 60, is there enough evidence to reject the claim at the α = 0.05 level? Explain.Data from Exercise 60:A restaurant claims that the standard deviation of the lengths of serving times is 3
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Left-tailed test, n = 6, α = 0.05
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Two-tailed test, n = 41, α = 0.10
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Two-tailed test, n = 14, α = 0.01
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Right-tailed test, n = 20, α = 0.05
A labor researcher claims that 6% of U.S. employees say it is likely they will be laid off in the next year. In a random sample of 547 U.S. employees, 44 said it is likely they will be laid off in
A polling agency reports that over 40% of U.S. adults say they are less likely to travel to Europe in the next six months for fear of terrorist attacks. In a random sample of 1000 U.S. adults, 42%
An education researcher claims that the overall average score of 15-year-old students on an international mathematics literacy test is 494. You want to test this claim. You randomly select the
An education publication claims that the mean score for grade 12 students on a science achievement test is more than 145. You want to test this claim. You randomly select 36 grade 12 test scores. The
Test the claim about the population mean m at the level of significance a. Assume the population is normally distributed.Claim: μ ≠ 3,330,000; α = 0.05.Sample statistics: x̅ = 3,293,995, s =
Test the claim about the population mean m at the level of significance a. Assume the population is normally distributed.Claim: μ = 195; α = 0.10. Sample statistics: x̅ = 190, s = 36, n = 101
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Two-tailed test, α = 0.02, n = 12
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Left-tailed test, α = 0.005, n = 15
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Left-tailed test, α = 0.05, n = 48
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Right-tailed test, α = 0.02, n = 63
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Right-tailed test, α = 0.01, n = 33
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Two-tailed test, α = 0.05, n = 20
A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from New York City to Los Angeles,
An environmental researcher claims that the mean amount of sulfur dioxide in the air in U.S. cities is 1.15 parts per billion. In a random sample of 134 U.S. cities, the mean amount of sulfur dioxide
A researcher claims that the mean annual consumption of cotton is greater than 1.1 million bales per country. A random sample of 67 countries has a mean annual consumption of 1.0 million bales.
A researcher claims that the mean annual production of cotton is 3.5 million bales per country. A random sample of 44 countries has a mean annual production of 2.1 million bales. Assume the
State whether the standardized test statistic z allows you to reject the null hypothesis. Explain your reasoning.z = -1.655 -3 -2 |-1 -20 =-1.645 2 1.645 Zo
State whether the standardized test statistic z allows you to reject the null hypothesis. Explain your reasoning.z = -1.464 -3 -2 |-1 -20 =-1.645 2 1.645 Zo
State whether the standardized test statistic z allows you to reject the null hypothesis. Explain your reasoning.z = 1.723 -3 -2 |-1 -20 =-1.645 2 1.645 Zo
State whether the standardized test statistic z allows you to reject the null hypothesis. Explain your reasoning.z = 1.631 -3 -2 |-1 -20 =-1.645 2 1.645 Zo
Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance α.Two-tailed test, z = 2.57, α = 0.10
Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance α.Left-tailed test, z = -0.94, α = 0.05
A nonprofit consumer organization says that the standard deviation of the fuel economies of its top-rated vehicles for a recent year is no more than 9.5 miles per gallon.(a) State the null and
A polling organization reports that the proportion of U.S. adults who have volunteered their time or donated money to help clean up the environment is 65%.(a) State the null and alternative
The scatter plots show the results of a survey of 20 randomly selected males ages 24 –35. Using age as the explanatory variable, match each graph with the appropriate description. Explain your
A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in a bar is 1.11 grams. A random sample of 26 bars has a standard deviation of 1.19 grams. At
A research center claims that more than 80% of U.S. adults think that mothers should have paid maternity leave. In a random sample of 50 U.S. adults, 82% think that mothers should have paid maternity

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