1. An aluminum master alloy manufacturer produces grain refiners in ingot form. The company producesthe product in four furnaces. Each furnace is known to have its own unique operating characteristics soany experiment run in the foundry that involves more than one furnace will consider furnaces as a nuisancevariable. The process engineer suspect that stirring rate affects the grain size of the product. Each furnacecan be run at four different stirring rate.A randomized block design is run for a particular refiner, and theresulting grain size data is as follows.Stirring Rate (rpm) F1 F2 F3F458456101456915146922017 9 3 6a) Is there any evidence that stirring rate affects grain size?b) Graph the residuals from this experiment on a normal probability plot. Interpret the plot.c) Plot the residuals versus furnaces and stirring rate. Does this plot convey any useful information?d) What should the process engineers recommend concerning the choice of stirring rate and furnace for thisparticular grain refiner if small grain size is desirable?e) Compute the corrected relative efficiency of RBD in comparison with CRD. Is blocking is effective in thisexperiment?

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Answered: 1. An aluminum master alloy…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Three fertilizers are studied for their effect on yield in an orange grove. Nine plots of land are used, divided into blocks of three plots each. A randomized complete block design is used, with each fertilizer applied once in each block. The results, in pounds of harvested fruit, are presented below. The data can also be downloaded here Fertilizer.csv Download. Fertilizer Plot 1 Plot 2 Plot 3 A 327 456 273 B 401 546 320 C 304 440 235 Test Fertilizer Effect, can we conclude that the mean yields differ among the fertilizers? Answer Yes or No. .What is the value of the F statistic for this test? .What is the p-value of the test? .
The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
Packages of mixed nuts made by a certain company contain four types of nuts. The percentages of nuts of Types 1, 2, 3, and 4 are suppased to be 40%, 30%, 20%, and 10%s, respectively. A random sample of nuts is selected, and each cne is categorized by type. (a) If the sample size is 150 and the resulting test statistic value is x - 19.0, what condlusion wauld be appropriate for a significance level of 0.001? O Reject Ha O Fail to reject Hg (b) If the random sample had consisted of only 40 nuts, would you use the chi-square test here? O Yes O No
13. According to Wikipedia, as of November 30, 2019, 43.5% of registered voters in Mercer County are registered democrats (pm = 0.435), and 24.5% of registered voters in Hunterdon County are registered democrats (ph = 0.245). A researcher decides to take an SRS of 45 registered voters in Mercer County and an independent SRS of 45 registered voters in Hunterdon County to investigate, and is surprised when he gets a greater sample proportion of registered democrats in the Hunterdon County sample. Calculate and interpret the probability that the sample proportion of registered democrats in Hunterdon County is greater than the sample proportion of registered democrats in Mercer County. Be sure to show all of your work. (Note- - for those of you wondering why the percentages of registered democrats in the "blue" state of New Jersey are so low, many registered voters in New Jersey do not register with any particular political party)
Considering the following univariate datasets: • A random sample of cheeses is obtained and the number of months each is allowed to age before sale is recorded. • Sixteen universities are selected and each computer network system is carefully analyzed. The computer virus threat is assessed for each campus: low, medium, or high. • A random sample of Waterford Normandy dinner plates is selected and the weight of each plate is recorded. Thirty-five new customers at a health club are selected and the body-fat percentage of each member is computed and recorded. • A random sample of CDs is obtained from a local music store. The company that produced each CD noted. • A collection of pens is obtained from employees at a large company. For each pen, the outside diameter of the barrel at its widest point is measured and recorded. • The time it takes giant slalom skiers to cover a race course. • The number of magazines available for sale at newsstands. . The number of black squares in crossword…
A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
According to the 2000 U.S. Census Bureau, in 2000, 9.5 percent of children in the state of Ohio were not covered by private or government health insurance. In the neighboring state of Pennsylvania, 4.9 percent of children were not covered by health insurance. Assume that these proportions are parameters for the child populations of the respective states. If a random sample of size 100 children is drawn from the Ohio population, and an independent random sample of size 120 is drawn from the Pennsylvania population, what is the probability that the samples would yield a difference, ^p1 - ^p2 of .09 or more?

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