Solution: In Exercises 14, use the following listed chest deceleration measurements (in

In Exercises 14, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.) Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Chest Deceleration Measurements (g) from a Standard Crash Test Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 33 ANOVA a. What characteristic of the data above indicates that we should use oneway analysis of variance? b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance?

In Exercises 14, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.) Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Chest Deceleration Measurements (g) from a Standard Crash Test Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 34 Why Not Test Two at a Time? Refer to the sample data given in Exercise 1. If we want to test for equality of the three means, why don't we use three separate hypothesis tests for 1 = 2 , 1 = 3 , and 2 = 3 ?

In Exercises 14, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.) Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Chest Deceleration Measurements (g) from a Standard Crash Test Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 35 Test Statistic What is the value of the test statistic? What distribution is used with the test statistic?

In Exercises 14, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.) Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Chest Deceleration Measurements (g) from a Standard Crash Test Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 36 P Value If we use a 0.05 significance level in analysis of variance with the sample data given in Exercise 1, what is the Pvalue? What should we conclude?

In Exercises 516, use analysis of variance for the indicated test.Lead and Verbal IQ Scores Example 1 used measured performance IQ scores for three different blood lead levels. If we use the same three categories of blood lead levels with measured verbal IQ scores, we get the accompanying Minitab display. (The data are listed in Data Set 5 of Appendix B.) Using a 0.05 significance level, test the claim that the three categories of blood lead level have the same mean verbal IQ score. Does exposure to lead appear to have an effect on verbal IQ scores? MINITAB d

In Exercises 516, use analysis of variance for the indicated test.Lead and Full IQ Scores Example 1 used measured performance IQ scores for three different blood lead levels. If we use the same three categories of blood lead levels with the full IQ scores, we get the accompanying Excel display. (The data are listed in Data Set 5 of Appendix B.) Using a 0.05 significance level, test the claim that the three categories of blood lead level have the same mean full IQ score. Does it appear that exposure to lead has an effect on full IQ scores?

In Exercises 516, use analysis of variance for the indicated test.Highway Fuel Consumption Data Set 14 in Appendix B lists highway fuel consumption amounts (mi/gal) for cars categorized by size (small, midsize, large). If we use those highway fuel consumption amounts arranged into the three separate size categories, we get the TI83/84 Plus calculator results shown below. Using a 0.05 significance level, test the claim that the three size categories have the same mean highway fuel consumption. Does the size of a car appear to affect highway fuel consumption?

In Exercises 516, use analysis of variance for the indicated test.City Fuel Consumption Data Set 14 in Appendix B lists city fuel consumption amounts (mi/gal) for cars categorized by size (small, midsize, large). If we use those city fuel consumption amounts arranged into the three separate size categories, we get the STATDISK results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean city fuel consumption. Does the size of a car appear to affect city fuel consumption? STATDISK

In Exercises 516, use analysis of variance for the indicated test.Head Injury Crash Test Data Exercises 14 use chest deceleration data for three different size categories (small, midsize, large). The data are from a standard crash test and they are listed in Data Set 13 in Appendix B. If we use the head injury measurements (in HIC, which is a standard head injury criterion) with the same three size categories, we get the SPSS results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean head injury measurement. Does the size of a car appear to affect head injuries? SPSS

In Exercises 516, use analysis of variance for the indicated test.Pelvis Injury Crash Test Data Exercises 14 use chest deceleration data for three different size categories (small, midsize, large). The data are from a standard crash test and they are listed in Data Set 13 in Appendix B. If we use the pelvis injury measurements (g) with the same three size categories, we get the XLSTAT results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean pelvis injury measurement. Does the size of a car appear to affect pelvis injuries? XLSTAT

In Exercises 516, use analysis of variance for the indicated test.Triathlon Times Jeff Parent is a statistics instructor who participates in triathlons. Listed below are times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill?Mile 1 3:15 3:24 3:23 3:22 3:21 Mile 2 3:19 3:22 3:21 3:17 3:19 Mile 3 3:34 3:31 3:29 3:31 3:29

In Exercises 516, use analysis of variance for the indicated test.Clancy, Rowling, Tolstoy Readability Pages were randomly selected by the author from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer's Stone by J. K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the books appear to have different reading levels of difficulty? Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9 Rowling 85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7 Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6

In Exercises 516, use analysis of variance for the indicated test.Poplar Tree Weights Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective? No Treatment Fertilizer Irrigation Fertilizer and Irrigation 1.21 0.94 0.07 0.85 0.57 0.87 0.66 1.78 0.56 0.46 0.10 1.47 0.13 0.58 0.82 2.25 1.30 1.03 0.94 1.64

In Exercises 516, use analysis of variance for the indicated test.. Poplar Tree Weights Weights (kg) of poplar trees were obtained from trees planted in a sandy and dry region. The trees were given different treatments identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective in the sandy and dry region? No Treatment Fertilizer Irrigation Fertilizer and Irrigation 0.24 0.92 0.96 1.07 1.69 0.07 1.43 1.63 1.23 0.56 1.26 1.39 0.99 1.74 1.57 0.49 1.80 1.13 0.72 0.95

In Exercises 15 and 16, use the data set from Appendix B.Nicotine in Cigarettes Refer to Data Set 10 in Appendix B and use the amounts of nicotine (mg per cigarette) in the kingsize cigarettes, the 100 mm menthol cigarettes, and the 100mm nonmenthol cigarettes. The kingsize cigarettes are nonfiltered, nonmenthol, and nonlight. The 100mm menthol cigarettes are filtered and nonlight. The 100mm nonmenthol cigarettes are filtered and nonlight. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the kingsize cigarettes are not filtered, do the filters appear to make a difference?

In Exercises 15 and 16, use the data set from Appendix B.Secondhand Smoke Refer to Data Set 9 in Appendix B and use the measured serum cotinine levels (in mg/mL) from the three groups of subjects (smokers, nonsmokers exposed to tobacco smoke, and nonsmokers not exposed to tobacco smoke). When nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. What do the results suggest about the effects of secondhand smoke?

Tukey Test This section included a display of the Bonferroni test results from Table 121 included with the Chapter Problem. Shown here is the SPSSgenerated display of results from the Tukey test using the same data. Compare the Tukey test results to those from the Bonferroni test. SPSS

Bonferroni Test Shown below are partial results from using the Bonferroni test with the sample data from Exercise 13. Assume that a 0.05 significance level is being used. a. What do the displayed results tell us? b. Use the Bonferroni test procedure to test for a significant difference between the mean amount of the irrigation treatment group and the group treated with both fertilizer and irrigation. Identify the test statistic and either the Pvalue or critical values. What do the results indicate? SPSS