a. An experiment was carried out to investigate the effects on audio sensitivity of varying resistance ( A ), two capacitances ( B , C ), and inductance of a coil ( D ) in part of a television circuit. If four blocks were used with four treatments per block and the defining effects for confounding were AB and CD , which treatments appeared in each block? b. Suppose two replications of the experiment described in part (a) were performed, resulting in the accompanying data. Obtain the ANOVA table, and test all relevant hypotheses at level .01. Treat- ment x ijkl1 x ijkl2 Treat- ment x ijkl1 x ijkl2 (1) 618 598 d 598 585 a 583 560 ad 587 541 b 477 525 bd 480 508 ab 421 462 abd 462 449 c 601 595 cd 603 577 ac 550 589 acd 571 552 bc 505 484 bcd 502 508 abc 452 451 abcd 449 455

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Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809
BuyFind

Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

Solutions

Chapter
Section
Chapter 11.4, Problem 45E
Textbook Problem

a. An experiment was carried out to investigate the effects on audio sensitivity of varying resistance (A), two capacitances (B, C), and inductance of a coil (D) in part of a television circuit. If four blocks were used with four treatments per block and the defining effects for confounding were AB and CD, which treatments appeared in each block?

b. Suppose two replications of the experiment described in part (a) were performed, resulting in the accompanying data. Obtain the ANOVA table, and test all relevant hypotheses at level .01.

Treat- ment xijkl1 xijkl2 Treat- ment xijkl1 xijkl2
(1) 618 598 d 598 585
a 583 560 ad 587 541
b 477 525 bd 480 508
ab 421 462 abd 462 449
c 601 595 cd 603 577
ac 550 589 acd 571 552
bc 505 484 bcd 502 508
abc 452 451 abcd 449 455

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Chapter 11 Solutions

Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - For the data of Example 11.5, check the...Ch. 11.1 - Suppose that in the experiment described in...Ch. 11.1 - a. Show that a constant d can be added to (or...Ch. 11.1 - Use the fact that E(Xij) = + i + j with i=j=0 to...Ch. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - The article Towards Improving the Properties of...Ch. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - A study was carried out to compare the writing...Ch. 11.2 - The accompanying data was obtained in an...Ch. 11.2 - a. Show that E(Xi..X)=i, so that Xi..X is an...Ch. 11.2 - Show how a 100(1 )% t CI for i i, can be...Ch. 11.2 - When both factors are random in a two-way ANOVA...Ch. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - To see whether thrust force in drilling is...Ch. 11.3 - The article Effects of Household Fabric Softeners...Ch. 11.3 - The following summary quantities were computed...Ch. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - When factors A and B are fixed but factor C is...Ch. 11.3 - Because of potential variability in aging due to...Ch. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - The article Variation in Moisture and Ascorbic...Ch. 11.3 - The article An Assessment of the Effects of...Ch. 11.3 - A four-factor ANOVA experiment was carried out to...Ch. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - As with many dried products, sun-dried tomatoes...Ch. 11.4 - The following data on power consumption in...Ch. 11.4 - The article Statistical Design and Analysis of...Ch. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - In an experiment involving four factors (A, B, C,...Ch. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - The water absorption of two types of mortar used...Ch. 11 - Four plots were available for an experiment to...Ch. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - One property of automobile air bags that...Ch. 11 - A chemical engineer has carried out an experiment...Ch. 11 - The bond strength when mounting an integrated...Ch. 11 - The article Effect of Cutting Conditions on Tool...Ch. 11 - Analogous to a Latin square, a Greco-Latin square...

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