Question: Use technology and the block design to
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 owner of a car dealership wants to determine whether the gender of a salesperson and the type of vehicle sold affect the number of vehicles sold in a month. The block design shows the numbers of vehicles, listed by type, sold in a month by a sample of eight salespeople.
Transcribed Image Text:
Type of vehiele Car Truck Van/SUV Male 6,5, 4,5 2, 2, 1,3 4, 3, 4,2 Female 5.7,8,7 1.0.1.2 4, 2,0,1 Gender
> Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for secondary and elementary school teachers, excluding special and vocational education teachers, in the United States for 11 years. Construct a 95% predi
> You are given a null hypothesis and three confidence intervals that represent three samplings. Determine whether each confidence interval indicates that you should reject H0. Explain your reasoning. Ho: H2 70 67 68 9 70 71 72 73 (a) 67 <u<71 67 68 6
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. σ ≠ 5
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. µ < 128
> The statement represents a claim. Write its complement and state which is H0 and which is Ha. µ ≤ 645
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. To support a claim, state it so that it becomes the null hypothesis.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A large P-value in a test will favor rejection of the null hypothesis.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. The level of significance is the maximum probability you allow for rejecting a null hypothesis when it is actually true.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If you decide to reject the null hypothesis, then you can support the alternative hypothesis.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A statistical hypothesis is a statement about a sample.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. In a hypothesis test, you assume the alternative hypothesis is true.
> Does failing to reject the null hypothesis mean that the null hypothesis is true? Explain.
> A null hypothesis is rejected with a level of significance of 0.10. Is it also rejected at a level of significance of 0.05? Explain.
> What are the two decisions that you can make from performing a hypothesis test?
> Describe the two types of errors possible in a hypothesis test decision.
> What are the two types of hypotheses used in a hypothesis test? How are they related?
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 52% of college students used their own income or savings to pay for college.
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college.
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. An amusement park claims that the mean daily attendance at the park is at least 20,000 people.
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. The standard deviation of the base price of an all-terrain vehicle is no more than $320.
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. As stated by a company’s shipping department, the number of shipping errors per million shipments has a standard deviation th
> Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim. A tablet manufacturer claims that the mean life of the battery for a certain model of tablet is more than 8 hours.
> Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: p = 0.25 Ha: p ≠ 0.25
> A null hypothesis is rejected with a level of significance of 0.05. Is it also rejected at a level of significance of 0.10? Explain.
> Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: σ2 = 142 Ha: σ2 ≠ 142
> Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: σ ≥ 5.2 Ha: σ < 5.2
> Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: µ ≤ 8.0 Ha: µ > 8.0
> Match the alternative hypothesis with its graph. Then state the null hypothesis and sketch its graph. Ha: µ > 2 1 1 (d) 1 2
> Match the alternative hypothesis with its graph. Then state the null hypothesis and sketch its graph. Ha: µ ≠3 1 1 (d) 1 2
> Match the alternative hypothesis with its graph. Then state the null hypothesis and sketch its graph. Ha: µ 1 1 (d) 1 2
> 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. 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
> List five properties of the F-distribution.
> 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
