use the sign test for the claim involving nominal data. Overtime Rule in Football Before the overtime rule in the National Football League was changed in 2011, among 460 overtime games, 252 were won by the team that won the coin toss at the beginning of overtime. Using a 0.05 si...
31 May 2021use the sign test for the claim involving nominal data. Births A random sample of 860 births in New York State included 426 boys and 434 girls. Use a 0.05 significance level to test the claim that when babies are born, boys and girls are equally likely.
31 May 2021use the sign test for the claim involving nominal data. Medical Malpractice In a study of 1228 randomly selected medical malpractice lawsuits, it was found that 856 of them were dropped or dismissed (based on data from the Physicians Insurers Association of America). Use a 0.01...
31 May 2021use the sign test for the claim involving nominal data. Stem Cell Survey Newsweek conducted a poll in which respondents were asked if they “favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 481 were...
31 May 2021Sign Test for Freshman 15 The table below lists some of the weights (kg) from Data Set 6 “Freshman 15” in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the sign test to test the c...
31 May 2021Construct a p chart for the proportion of defective calculators, and determine whether the process is within statistical control. Since we know the process is actually stable with p = 0.05, the conclusion that it is not stable would be a type I error; that is, we would have a fal...
31 May 2021Simulate the following process for 20 days: Each day, 200 calculators are manufactured with a 5% rate of defects, and the proportion of defects is recorded for each of the 20 days. The calculators for one day are simulated by randomly generating 200 numbers, where each number is ...
31 May 2021Does It Pay to Plead Guilty? The accompanying table summarizes randomly selected sample data for San Francisco defendants in burglary cases (based on data from “Does It Pay to Plead Guilty? Differential Sentencing and the Functioning of the Criminal Courts,” by Brereton and Caspe...
31 May 2021Child Restraint Systems Use the numbers of defective child restraint systems given in Exercise 8. Find the mean, median, and standard deviation. What important characteristic of the sample data is missed if we explore the data using those statistics? Exercise8: Defective Child Re...
31 May 2021Defective Child Restraint Systems The Tracolyte Manufacturing Company produces plastic frames used for child booster seats in cars. During each week of production, 120 frames are selected and tested for conformance to all regulations by the Department of Transportation. Frames ar...
31 May 2021Heights On the basis of Data Set 1 “Body Data” in Appendix B, assume that heights of men are normally distributed, with a mean of 68.6 in. and a standard deviation of 2.8 in. a. The U.S. Coast Guard requires that men must have a height between 60 in. and 80 in. Find the percenta...
31 May 2021Sunspots and the DJIA Use the data given below and find the equation of the regression line. Then find the best predicted value of the DJIA in the year 2004, when the sunspot number was 61. How does the result compare to the actual DJIA value of 10,855?Sunspot 45 ...
31 May 2021Sunspots and the DJIA Listed below are annual sunspot numbers paired with annual high values of the Dow Jones Industrial Average (DJIA). Sunspot numbers are measures of dark spots on the sun, and the DJIA is an index that measures the value of select stocks. The data are from r...
31 May 2021Internet Doctors: Probability Based on the survey data given in Exercise 1, assume that 55% of adults learn about medical symptoms more often from the Internet than from their doctor. a. Find the probability that three randomly selected adults all learn about medical symptoms mo...
31 May 2021Internet Doctors: Graph The accompanying graph was created to depict the results of the survey described in Exercise 1. Is the graph somehow misleading? If so, how?Exercise1: Internet Doctors: Confidence Interval In a survey of n = 2015 adults, 1108 of them said that they learn a...
31 May 2021Internet Doctors: Hypothesis Test Use the survey results given in Exercise 1 and use a 0.05 significance level to test the claim that the majority of adults learn about medical symptoms more often from the Internet than from their doctor.Exercise1: Internet Doctors: Confidence In...
31 May 2021Internet Doctors: Confidence Interval In a survey of n = 2015 adults, 1108 of them said that they learn about medical symptoms more often from the Internet than from their doctor (based on a MerckManuals.com survey). Use the data to construct a 95% confidence interval estimate of...
31 May 2021refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year.Service Times The Newport Dine...
31 May 2021refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year.Energy Consumption: Run Chart ...
31 May 2021refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year.Energy Consumption: x Chart Le...
31 May 2021refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year.Energy Consumption: R Chart Le...
31 May 2021refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year.Energy Consumption: Notation A...
31 May 2021Examine the following p chart for defective calculator batteries and briefly describe the action that should be taken.
31 May 2021If the R chart and x chart both showed that the process of manufacturing aircraft altimeters is within statistical control, can we conclude that the altimeters satisfy the Federal Aviation Administration requirement of having errors of no more than 40 ft when tested at an altitud...
31 May 2021use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 600...
31 May 2021use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 600...
31 May 2021use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 600...
31 May 2021use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 600...
31 May 2021What is the difference between an R chart and an x chart?
31 May 2021Identify three specific criteria for determining when a process is out of statistical control.
31 May 2021What is the difference between random variation and assignable variation?
31 May 2021What are process data?
31 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021use the given process data to construct a control chart for p. In each case, use the three out-of-control criteria listed near the beginning of this section and determine whether the process is within statistical control. If it is not, identify which of the three out-of-control c...
30 May 2021Euro Coins After constructing a control chart for the proportions of defective one-euro coins, it is concluded that the process is within statistical control. Does it follow that almost all of the coins meet the desired specifications? Explain.
30 May 2021Control Limits In constructing a control chart for the proportions of defective dimes, it is found that the lower control limit is -0.00325. How should that value be adjusted?
30 May 2021Notation The control chart shows a value of p = 0.0975. What does that value denote, and how is it obtained? What do UCL and LCL indicate?
30 May 2021Minting Quarters Specifications for a quarter require that it be 8.33% nickel and 91.67% copper; it must weigh 5.670 g and have a diameter of24.26 mm and a thickness of 1.75 mm; and it must have 119 reeds on the edge. A quarter is considered to be defective if it deviates substan...
30 May 2021Notation and Terminology Consider process data consisting of the amounts (oz) of Coke in randomly selected cans of regular Coke. The process is to be monitored with x and R control charts based on samples of 50 cans randomly selected each day for 20 consecutive days of production...
30 May 2021Out-of-class activity Divide into groups of three or four people. Investigate the relationship between two variables by collecting your own paired sample data and using the methods of this chapter to determine whether there is a significant linear correlation. Also identify the r...
30 May 2021In-class activity Divide into groups of three or four people. Appendix B includes many data sets not yet included in examples or exercises in this chapter. Search Appendix B for a pair of variables of interest, then investigate correlation and regression. State your conclusions a...
30 May 2021In-class activity Divide into groups of 8 to 12 people. Record the pulse rate of each group member while he or she is seated. Then record the pulse rate of each group member while he or she is standing. Is there a relationship between sitting and standing pulse rate? If so, what ...
30 May 2021In-class activity Divide into groups of 8 to 12 people. For each group member, use a string and ruler to measure head circumference and forearm length. Is there a relationship between these two variables? If so, what is it?
30 May 2021In-class activity Divide into groups of 8 to 12 people. For each group member, measure height and arm span. For the arm span, the subject should stand with arms extended, like the wings on an airplane. Using the paired sample data, is there a correlation between height and arm sp...
30 May 2021Out-of-class activity Each student should estimate the number of footsteps that he or she would walk between the door of the classroom and the door used to exit the building. After recording all of the estimates, each student should then count the number of footsteps while walkin...
30 May 2021