List five properties of the F-distribution.
> Match the alternative hypothesis with its graph. Then state the null hypothesis and sketch its graph. Ha: µ > 3 1 1 (d) 1 2
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. p = 0.21
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. p < 0.45
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. σ2 ≥ 1.2
> Explain why a level of significance of α = 0 is not used.
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> Describe the hypotheses for a two-way ANOVA test.
> Describe the difference between the variance between samples MSB and the variance within samples MSW.
> Refer to the data in Exercise 11. At α = 0.10, perform a Scheffé Test to determine which means have a significant difference. From Exercise 11: The well-being index is a way to measure how people are faring physically, emotion
> Refer to the data in Exercise 8. At α = 0.01, perform a Scheffé Test to determine which means have a significant difference. From Exercise 8: The table shows the salaries (in thousands of dollars) for a sample of individuals f
> Refer to the data in Exercise 7. At α = 0.01, perform a Scheffé Test to determine which means have a significant difference. From Exercise 7: The table shows the weights (in pounds) for a sample of vacuum cleaners. The weights
> Why can decreasing the probability of a type I error cause an increase in the probability of a type II error?
> What conditions are necessary in order to use a one-way ANOVA test?
> Refer to the data in Exercise 5. At α = 0.05, perform a Scheffé Test to determine which means have a significant difference. From Exercise 5: The table shows the costs per ounce (in dollars) for a sample of toothpastes exhibit
> Use technology and the block design to perform a two-way ANOVA test. Use α = 0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The m
> Use technology and the block design to perform a two-way ANOVA test. Use α = 0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. A stu
> Use technology and the block design to perform a two-way ANOVA test. Use α = 0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The o
> Use technology and the block design to perform a two-way ANOVA test. Use α = 0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. A stu
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> An Internet provider is trying to gain advertising deals and claims that the mean time a customer spends online per day is greater than 28 minutes. You are asked to test this claim. How would you write the null and alternative hypotheses when a. you rep
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> State the null and alternative hypotheses for a one-way ANOVA test.
> 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 α 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 α 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 α 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 α and degrees of freedom d.f.N and d.f.D. α = 0.05, d.f.N = 9, d.f.D = 16
> Explain how to determine the values of d.f.N and d.f.D when performing a two-sample F-test.
> Construct the confidence interval for σ21/σ22. Assume the samples are random and independent, and the populations are normally distributed. In a recent study of the carbohydrate contents of grilled chicken sandwiches served at fast
> List the three conditions that must be met in order to use a two-sample F-test.
> A backpack manufacturer claims that the mean life of its competitor’s backpacks is less than 5 years. You are asked to perform a hypothesis test to test this claim. How would you write the null and alternative hypotheses when a. you represent the manufa
> Construct the confidence interval for σ21/σ22. Assume the samples are random and independent, and the populations are normally distributed. In a recent study of the cholesterol contents of grilled chicken sandwiches served at fast f
> Find the right- and left-tailed critical F-values 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 = 20, d.f.D = 15
> Find the right- and left-tailed critical F-values 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 = 6, d.f.D = 3
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> A transportation network company claims that the mean travel time between two destinations is about 16 minutes. You work for one of the company’s competitors and want to reject this claim. How would you write the null and alternative hypotheses?
> a. Identify the claim and state H0 and Ha. b. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. c. Choose one of the options. Option
> a. identify the claim and state H0 and Ha, b. find the critical value and identify the rejection region, c. find the test statistic F, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision in the context of
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 > σ22; α = 0.05. Sample statistics: s
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 = σ22; α = 0.01. Sample statistics: s
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 ≠ σ22; α = 0.05. Sample statistics: s
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 ≤ σ22; α = 0.01. Sample statistics: s
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 = σ22; α = 0.05. Sample statistics: s
> Test the claim about the difference between two population variances σ21 and σ22 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: σ21 > σ22; α = 0.10. Sample statistics: s
> 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 = 27, d.f.D = 19
> 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
> A medical research team is investigating the mean cost of a 30-day supply of a heart medication. A pharmaceutical company thinks that the mean cost is less than $60. You want to support this claim. How would you write the null and alternative hypotheses?
> 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
> Explain how to find the critical value for an F-test.
> a. calculate the marginal frequencies and b. find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Preference Bank employee New procedure Old procedure No preference Teller 92 351 50 Customer
> a. calculate the marginal frequencies and b. find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Treatment Result Drug Placebo Nausea 36 13 No nausea 254 262
> a. calculate the marginal frequencies and b. find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Athlete has Result Stretched Not stretched Injury No injury 18 22 211 189
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. 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 as a true statement. If the two variables in a chi-square independence test are dependent, then you can expect little difference between the observed frequencies and the expecte
> Use the contingency table from Exercises 33–36, and the information below. From Exercises 33–36: What percent of U.S. adults ages 25 and over who are not high school graduates are unemployed? Educational attainme
> Use the contingency table from Exercises 33–36, and the information below. From Exercises 33–36: What percent of U.S. adults ages 25 and over who have a degree are not in the labor force? Educational attainment A
> Use the contingency table from Exercises 33–36, and the information below. From Exercises 33–36: Calculate the conditional relative frequencies in the contingency table based on the column totals. Educational att
> Determine whether the claim represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that a. rejects the null hypothesis? b. fails to reject the null hypothesis? A marketing or
> Explain why the chi-square independence test is always a right-tailed test.
> Use the contingency table from Exercises 33–36, and the information below. From Exercises 33–36: 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 from Exercises 33–36, and the information below. From Exercises 33–36: What percent of U.S. adults ages 25 and over who are employed have a degree? Educational attainment Associate's, No
> Use the contingency table from Exercises 33–36, and the information below. From Exercises 33–36: Calculate the conditional relative frequencies in the contingency table based on the row totals. Educational attain
> Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing each frequency by the sample size. The contingency table below shows the number of U.S. adults (in millions) ages 25 and over by employm
> Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing each frequency by the sample size. The contingency table below shows the number of U.S. adults (in millions) ages 25 and over by employm
> Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing each frequency by the sample size. The contingency table below shows the number of U.S. adults (in millions) ages 25 and over by employm
> Use the information below. The frequencies in a contingency table can be written as relative frequencies by dividing each frequency by the sample size. The contingency table below shows the number of U.S. adults (in millions) ages 25 and over by employm
> Use this information about the homogeneity of proportions test. Another chi-square test that involves a contingency table is the homogeneity of proportions test. This test is used to determine whether several proportions are equal when samples are taken
> Use this information about the homogeneity of proportions test. Another chi-square test that involves a contingency table is the homogeneity of proportions test. This test is used to determine whether several proportions are equal when samples are taken
> Determine whether the claim represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that a. rejects the null hypothesis? b. fails to reject the null hypothesis? A report claim
> Use this information about the homogeneity of proportions test. Another chi-square test that involves a contingency table is the homogeneity of proportions test. This test is used to determine whether several proportions are equal when samples are taken
> Explain how the chi-square independence test and the chi-square goodness-of-fit test are similar. How are they different?
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Determine whether the claim represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that a. rejects the null hypothesis? b. fails to reject the null hypothesis? An automotive
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Explain the difference between marginal frequencies and joint frequencies in a contingency table.
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Perform the indicated chi-square independence test by performing the steps below. a. Identify the claim and state H0 and Ha. b. Determine the degrees of freedom, find the critical value, and identify the rejection region. c. Find the chi-square test s
> Determine whether the claim represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that a. rejects the null hypothesis? b. fails to reject the null hypothesis? A researcher c
> 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 18-24 25-34 35-44 45-64 65 and older Comedy 38 30 24 10 8 Action 15
> a. calculate the marginal frequencies and b. find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Type of car Gender Compact Full-size SUV Truck/van Male 28 39 21 22 Female 24 32 20 14
> a. calculate the marginal frequencies and b. find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Rating Size of restaurant Excellent Fair Poor Seats 100 or fewer 182 203 165 Seats over 100
