Applied Statistics and Probability for Engineers 6th Edition solutions

Applied Statistics and Probability for Engineers 6
Consider the following computer output. (a) How many levels of the factor were used in this experiment? (b) How many replicates did the experimenter use? (c) Fill in the missing information in the ANOVA table. Use bounds for the \(P-\text { value }\) (d) What conclusions can you draw about di

Applied Statistics and Probability for Engineers 6
Consider the following computer output for an experiment. The factor was tested over four levels. (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table. Use bounds for the \(P \text {-value }\). (c) What conclusions can you draw about difference

Applied Statistics and Probability for Engineers 6
Consider the following computer output for an experiment. (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table. Use bounds for the \(P-v a l u e\) (c) What conclusions can you draw about differences in the factor-level means? (d) Compute an esti

Applied Statistics and Probability for Engineers 6
An article in Nature describes an experiment to investigate the effect on consuming chocolate on cardiovascular health ("Plasma Antioxidants from Chocolate," 2003, Vol. 424 , pp. 1013). The experiment consisted of using three different types of chocolates: \(100 \mathrm{~g}\) of dark chocolate, \(100

Applied Statistics and Probability for Engineers 6
In Design and Analysis of Experiments, 8 th edition (John Wiley & Sons, 2012), D. C. Montgomery described an experiment in which the tensile strength of a synthetic fiber was of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five level

Applied Statistics and Probability for Engineers 6
In Orthogonal Design for Process Optimization and Its Application to Plasma Etching (Solid State Technology, May 1987), G. Z. Yin and D. W. Jillie described an experiment to determine the effect of \(\mathrm{C}_{2} \mathrm{~F}_{6}\) flow rate on the uniformity of the etch on a silicon wafer used in

Applied Statistics and Probability for Engineers 6
The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. The following data have been collected. (a) Test the hypothesis that mixing techniques affect the strength of the concrete. Use \(\alpha = 0.05\). (b) Find the P-value for the

Applied Statistics and Probability for Engineers 6
The response time in milliseconds was determined for three different types of circuits in an electronic calculator. The results are recorded here. (a) Using \(\alpha=0.01\),, test the hypothesis that the three circuit types have the same response time. (b) Analyze the residuals from this experime

Applied Statistics and Probability for Engineers 6
An electronics engineer is interested in the effect on tube conductivity of five different types of coating for cathode ray tubes in a telecommunications system display device. The following conductivity data are obtained. (a) Is there any difference in conductivit

Applied Statistics and Probability for Engineers 6
An article in Environment International [1992, Vol. 18(4)] described an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment are show

Applied Statistics and Probability for Engineers 6
An article in the ACI Materials Journal (1987, Vol. 84, pp. 213-216) described several experiments investigating the rodding of concrete to remove entrapped air. A \(3-inch \times 6\)-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive s

Applied Statistics and Probability for Engineers 6
An article in the Materials Research Bulletin [1991, Vol. 26(11)] investigated four different methods of preparing the superconducting compound \(\mathrm{PbMo}_{6} \mathrm{~S}_{8}\). The authors contend that the presence of oxygen during the preparation process affects the materials superconducting t

Applied Statistics and Probability for Engineers 6
A paper in the Journal of the Association of Asphalt Paving Technologists (1990, Vol. 59) described an experiment to determine the effect of air voids on percentage retained strength of asphalt. For purposes of the experiment, air voids are controlled at three levels; low \((2-4 \%)\), medium \((4-6

Applied Statistics and Probability for Engineers 6
An article in Quality Engineering [Estimating Sources of Variation: A Case Study from Polyurethane Product Research (19992000, Vol. 12, pp. 8996)] reported a study on the effects of additives on final polymer properties. In this case, polyurethane additives were referred to as cross-linkers. The aver

Applied Statistics and Probability for Engineers 6
In the book Analysis of Longitudinal Data, 2nd ed., (2002, Oxford University Press), by Diggle, Heagerty, Liang, and Zeger, the authors analyzed the effects of three diets on the protein content of cows milk. The data shown here were collected after one week and include 25 cows on the barley diet and

Applied Statistics and Probability for Engineers 6
An article in Journal of Food Science [2001, Vol.66(3), pp.472477] reported on a study of potato spoilage based on different conditions of acidified oxine (AO), which is a mixture of chlorite and chlorine dioxide. The data follow: (a) Do the AO solutions differ in the spoilage percentage? Use

Applied Statistics and Probability for Engineers 6
An experiment was run to determine whether four specific iring temperatures affect the density of a certain type of brick. The experiment led to the following data. (a) Does the firing temperature affect the density of the bricks? Use \(\alpha=0.05\). (b) Find the \(P \text {-value }\) for the

Applied Statistics and Probability for Engineers 6
An article in Scientia Iranica [Tuning the Parameters of an Artiicial Neural Network (ANN) Using Central Composite Design and Genetic Algorithm (2011, Vol. 18(6), pp. 1600608)], described a series of experiments to tune parameters in artiicial neural networks. One experiment considered the relationsh

Applied Statistics and Probability for Engineers 6
An article in Fuel Processing Technology (Application of the Factorial Design of Experiments to Biodiesel Production from Lard, 2009, Vol. 90, pp. 14471451) described an experiment to investigate the effect of potassium hydroxide in synthesis of biodiesel. It is suspected that potassium hydroxide (PH

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha= . 0 05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to th

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fi

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those fr

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fi

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fi

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fi

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fis

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from

Applied Statistics and Probability for Engineers 6
For each of the following exercises, use the previous data to complete these parts. (a) Apply Fishers LSD method with \(\alpha=0.05\) and determine which levels of the factor differ. (b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fi

Applied Statistics and Probability for Engineers 6
Suppose that four normal populations have common variance \(\sigma^{2}=25\) and means \(\mu_{1}=50, \mu_{2}=60, \mu_{3}=50 \text {, and } \mu_{4}=60\) . How many observations should be taken on each population so that the probability of rejecting the hypothesis of equality of means is at least 0.90

Applied Statistics and Probability for Engineers 6
Suppose that i ve normal populations have common variance \(\sigma^{2}=100\) and means \(\mu_{1}=175, \mu_{2}=190, \mu_{3}=160, \mu_{4}=200, \text { and } \mu_{5}=215\). How many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at

Applied Statistics and Probability for Engineers 6
Suppose that four normal populations with common variance \(\sigma^{2}\) are to be compared with a sample size of eight observations from each population. Determine the smallest value for \(\Sigma_{i=1}^{4} \tau_{i}^{2} / \sigma^{2}\) that can be detected with power \(90 \%\). Use \(\alpha=0.05\).

Applied Statistics and Probability for Engineers 6
Suppose that five normal populations with common variance \(\sigma^{2}\) are to be compared with a sample size of seven observations from each. Suppose that \(\tau_{1}=\cdots=\tau_{4}=0\). What is the smallest value for \(\tau_{5}^{2} / \sigma^{2}\) that can be detected with power \(90 \%\) and \(\a