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\f(DATA SET ) Note: Exercises require a computer and statistical software. In making aluminum castings into alternator housings, an average of 3.5 ounces per casting must be trimmed off and recycled as a raw material A new manufacturing procedure has been proposed to reduce the amount of aluminum that must be recycled in this way. For a sample of 35 castings made with the new process, data file XR10111 lists the weights of aluminum trimmed and recycled. Based on the sample data, and using the 0.01 level, has the new procedure significantly reduced the average amount of aluminum trimmed and recycled? Identify and interpret the p-value for the test.(DATA SET ) Note: Exercises require a computer and statistical software. Use the decision rule associated with Exercise 10.111 and a range of selected assumed values for to construct the power curve for the test. Reference: Exercise 10.111 (DATA SET ) Note: Exercises require a computer and statistical software. In making aluminum castings into alternator housings, an average of 3.5 ounces per casting must be trimmed off and recycled as a raw material A new manufacturing procedure has been proposed to reduce the amount of aluminum that must be recycled in this way. For a sample of 35 castings made with the new process, data file XR10111 lists the weights of aluminum trimmed and recycled. Based on the sample data, and using the 0.01 level, has the new procedure significantly reduced the average amount of aluminum trimmed and recycled? Identify and interpret the p-value for the test.(DATA SET ) Note: Exercises require a computer and statistical software. In the past, the mean lifetime of diesel engine injection pumps has been 12,000 operating hours. A new injection pump is available that is promoted as lasting longer than the old version. In a test of 50 of the new pumps, the lifetimes are as listed in data file XR10113. Based on the sample data, and using the 0.025 level of significance, examine the possibility that the new pumps might have a mean life that is no more than that of the old design. Identify and interpret the p-value for the test.Sheila Smith, the manager of a large resort's main hotel, has been receiving complaints from some quests that they are not being provided with prompt service upon approaching the front desk. In particular, she is concerned that desk staff might be providing female guests with less prompt service than their male counterparts. In observing a sample of 34 male guests, she finds it takes an average of 15.2 seconds, with a standard deviation of 5.9 seconds, for them to be greeted after their arrival at the front desk. For a sample of 30 female guests, the mean and standard deviation are 17.4 seconds and 6.4 seconds, respectively. Assuming the population standard deviations to be equal, use the 0.05 level of significance in examining whether the population mean time for serving female guests might actually be no greater than that for serving male guests. Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for the test?Using the sample results in Exercise 11.10, construct and interpret the 95% confidence interval for the difference between the population means. Is the hypothesized difference (0.00) within the interval? Given the presence or absence of the 0.00 value within the interval, is this consistent with the findings of the hypothesis test conducted in Exercise 11.18? Reference: Exercise 11.18 An engineer has measured the hardness scores for a sample of conveyor-belt support bearings that have been hardened by two different methods. The first method is used by her company. and the second method is known to be used by a number of other companies in the industry. With the resulting data in file XR11016, use the 0.05 level of significance in comparing the mean hardness scores of the two samples, and comment on the possibility that the difference between the sample means could have occurred by chance. Identify and interpret the p-value for the test.A university president collects data showing the number of absences over the past academic year for a random sample of 6 professors in the College of Engineering. She does the same for a random sample of 9 professors in the College of Business and for a random sample of 8 professors in the College of Fine Arts. Does this represent a designed experiment? Explain.Twenty accounting students are randomly assigned to two different sections of an intermediate accounting class. Each section ends up consisting of 10 students. In one of the sections. computer-assisted instruction and review software is utilized; in the other section, it is not. All students are given the same final examination at the end of the semester. Does this represent a designed experiment? Explain.For the experiment described in Exercise 12 6, identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative. Reference: Exercise 12.6 A university president collects data showing the number of absences over the past academic year for a random sample of 6 professors in the College of Engineering. She does the same for a random sample of 9 professors in the College of Business and for a random sample of 8 professors in the College of Fine Arts. Does this represent a designed experiment? Explain.For the experiment described in Exercise 12 7, identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative. Reference: Exercise 12.7 Twenty accounting students are randomly assigned to two different sections of an intermediate accounting class. Each section ends up consisting of 10 students. In one of the sections. computer-assisted instruction and review software is utilized; in the other section, it is not. All students are given the same final examination at the end of the semester. Does this represent a designed experiment? Explain.For the experiment described in Exercise 12 8. identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative. Reference: Exercise 12.8 From each of four suppliers, a quality-control technician collects a random sample of 10 rivets, then measures the number of pounds each will withstand before it fails. Does this represent a designed experiment? Explain
