Questions from Engineering Statistics


Q: Verify that your design in Review Exercise 15.43 is indeed

Verify that your design in Review Exercise 15.43 is indeed resolution IV. Exercise 15.43: Use Table 15.16 to construct a 16-run design with 8 factors that is resolution IV. Table 15.16:

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Q: Construct a design that contains 9 design points, is orthogonal,

Construct a design that contains 9 design points, is orthogonal, contains 12 total runs and 3 degrees of freedom for replication error, and allows for a lack-of-fit test for pure quadratic curvature....

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Q: Consider a design which is a 23−1 III with 2

Consider a design which is a 23−1 III with 2 center runs. Consider ¯yf as the average response at the design parameter and ¯y0 as the average response at the design center. Suppose the true regression...

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Q: In a study that was analyzed for personnel in the Department of

In a study that was analyzed for personnel in the Department of Biochemistry at Virginia Tech, three diets were given to groups of rats in order to study the effect of each on dietary residual zinc in...

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Q: An experiment was conducted to compare three types of paint for evidence

An experiment was conducted to compare three types of paint for evidence of differences in their wearing qualities. They were exposed to abrasive action and the time in hours until abrasion was notice...

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Q: A company that stamps gaskets out of sheets of rubber, plastic

A company that stamps gaskets out of sheets of rubber, plastic, and cork wants to compare the mean number of gaskets produced per hour for the three types of material. Two randomly selected stamping m...

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Q: A previous study indicates that the percentage of chain smokers, p

A previous study indicates that the percentage of chain smokers, p, who have lung cancer follows a beta distribution (see Section 6.8) with mean 70% and standard deviation 10%. Suppose a new data set...

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Q: A study is conducted to compare gas mileage for 3 competing brands

A study is conducted to compare gas mileage for 3 competing brands of gasoline. Four different automobile models of varying size are randomly selected. The data, in miles per gallon, follow. The order...

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Q: Four different locations in the northeast were used for collecting ozone measurements

Four different locations in the northeast were used for collecting ozone measurements in parts per million. Amounts of ozone were collected in 5 samples at each location. (a) Is there sufficient in...

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Q: Show that the mean square error / for

Show that the mean square error for the analysis of variance in a one-way classification is an unbiased estimate of σ2.

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