Elementary Statistics: Picturing the World (6th Edition)
Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 1.3, Problem 5E

True or False? In Exercises 5–10, determine whether the statement is true or false. If it is false, rewrite it as a true statement.

5. A placebo is an actual treatment.

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Question 4 An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area (cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was replicated twice. The design is shown in Table 3. A222222222222233 Stir Rate (RPM) Ammonium (%) Table 3: Silver Powder Experiment from Exercise 13.23 Temperature (°C) Density Surface Area 100 8 14.68 0.40 100 8 15.18 0.43 30 100 8 15.12 0.42 30 100 17.48 0.41 150 7.54 0.69 150 8 6.66 0.67 30 150 8 12.46 0.52 30 150 8 12.62 0.36 100 40 10.95 0.58 100 40 17.68 0.43 30 100 40 12.65 0.57 30 100 40 15.96 0.54 150 40 8.03 0.68 150 40 8.84 0.75 30 150…
- + ++ Table 2: Crack Experiment for Exercise 2 A B C D Treatment Combination (1) Replicate I II 7.037 6.376 14.707 15.219 |++++ 1 བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ a b ab 11.635 12.089 17.273 17.815 с ас 10.403 10.151 4.368 4.098 bc abc 9.360 9.253 13.440 12.923 d 8.561 8.951 ad 16.867 17.052 bd 13.876 13.658 abd 19.824 19.639 cd 11.846 12.337 acd 6.125 5.904 bcd 11.190 10.935 abcd 15.653 15.053 Question 3 Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment method (C), is a categorical variable. Assume that the remaining factors are continuous. (a) Write two regression models for predicting crack length, one for each level of the heat treatment method variable. What differences, if any, do you notice in these two equations? (b) Generate appropriate response surface contour plots for the two regression models in part (a). (c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method C = +? (d) Repeat…
Question 2 A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content (B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table 2. 1 (a) Estimate the factor effects. Which factor effects appear to be large? (b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05. (c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b). (d) Analyze the residuals from this experiment. (e) Is there an…

Chapter 1 Solutions

Elementary Statistics: Picturing the World (6th Edition)

Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - Prob. 11ECh. 1.1 - Prob. 12ECh. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.2 - Prob. 1TYCh. 1.2 - Prob. 2TYCh. 1.2 - Prob. 3TYCh. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - The items below appear on a physician's intake...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 1CSCh. 1.2 - Prob. 2CSCh. 1.2 - Prob. 3CSCh. 1.2 - Prob. 4CSCh. 1.2 - Prob. 5CSCh. 1.2 - Prob. 6CSCh. 1.2 - Prob. 7CSCh. 1.2 - Prob. 8CSCh. 1.3 - Prob. 1TYCh. 1.3 - Prob. 2TYCh. 1.3 - Prob. 3TYCh. 1.3 - Prob. 4TYCh. 1.3 - What is the difference between an observational...Ch. 1.3 - What is the difference between a census and a...Ch. 1.3 - What is the difference between a random sample and...Ch. 1.3 - What is replication in an experiment? Why is...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - Prob. 8ECh. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Random Number Table Use the sixth row of Table 1...Ch. 1.3 - Random Number Table Use the tenth row of Table 1...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Sleep Deprivation A researcher wants to study the...Ch. 1.3 - Using a Simple Random Sample Volunteers for an...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Prob. 27ECh. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Natural Experiments Observational studies are...Ch. 1.3 - Open and Closed Questions Two types of survey...Ch. 1.3 - Prob. 40ECh. 1.3 - Prob. 1ACh. 1.3 - In Exercises 14, identify the population and the...Ch. 1 - Prob. 1.1.1RECh. 1 - Prob. 1.1.2RECh. 1 - Prob. 1.1.3RECh. 1 - Prob. 1.1.4RECh. 1 - Prob. 1.1.5RECh. 1 - Prob. 1.1.6RECh. 1 - Which part of the survey described in Exercise 3...Ch. 1 - Prob. 1.1.8RECh. 1 - Prob. 1.1.9RECh. 1 - Prob. 1.1.10RECh. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - Prob. 1.2.15RECh. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - Prob. 1.2.18RECh. 1 - Prob. 1.3.19RECh. 1 - Prob. 1.3.20RECh. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Prob. 1.3.25RECh. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - You want to know the favorite spring break...Ch. 1 - A study of the dietary habits of 359,264 Korean...Ch. 1 - Prob. 1.3.29RECh. 1 - Determine whether each number describes a...Ch. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Determine whether the study is an observational...Ch. 1 - An experiment is performed to test the effects of...Ch. 1 - Prob. 5CQCh. 1 - Which technique used in Exercise 7 could lead to a...Ch. 1 - Determine whether you would take a census or use a...Ch. 1 - Determine whether each number describes a...Ch. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Identify the sampling technique used, and discuss...Ch. 1 - Prob. 4CTCh. 1 - Determine whether the survey question is biased....Ch. 1 - Prob. 6CTCh. 1 - Prob. 1RSRDCh. 1 - Prob. 2RSRDCh. 1 - Prob. 3RSRDCh. 1 - The SEC (Securities and Exchange Commission) is...Ch. 1 - A quality control department is testing 25...Ch. 1 - Consider the population of ten digits: 0, 1, 2, 3,...Ch. 1 - Consider the population of 41 whole numbers from 0...Ch. 1 - Use random numbers to simulate rolling a six-sided...Ch. 1 - Prob. 6TCh. 1 - Use random numbers to simulate tossing a coin 100...Ch. 1 - You tossed a coin 100 times and got 77 heads and...Ch. 1 - A political analyst would like to survey a sample...
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