Principles of Statistics for Engineers and Scientists by William Navidi | 9780070166974 | 0070166978 | Holooly

Statistical Mechanics

Principles of Statistics for Engineers and Scientists

182 SOLVED PROBLEMS

Question: 9.16

A 2^5 factorial experiment was conducted to estimate the effects of five factors on the quality of lightbulbs manufactured by a certain process. The factors were A: plant (1 or 2), B: machine type (low or high speed), C: shift (day or evening), D: lead wire material (standard or new), and E: ...

Verified Answer:

We compute the effects, using the rules for adding...

Question: 9.6

The following output (from MTNITAB) presents the ANOVA table for the weld data in Table 9.1 (in Section 9.1). Which pairs of fluxes, if any, can be concluded, at the 5% level, to differ in their effect on hardness? ...

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There are J = 4 levels, with J = 5 observations at...

Question: 9.3

For the data in Table 9.1, compute MSTr, MSE, and F . Find the P-value for testing the null hypothesis that all the means are equal. What do you conclude? ...

Verified Answer:

From Example 9.2, SSTr = 743.4 and SSE= 1023.6. We...

Question: 6.9

Use the data in Table 6.2 to test the null hypothesis that the proportions of pins that are too thin, OK, or too thick are the same for all the machines. ...

Verified Answer:

We begin by using Equation (6.5) to compute the ex...

Question: 5.22

The lengths of bolts manufactured by a certain process are known to be normally distributed. In a sample of 30 bolts, the average length was 10.25 em, with a standard deviation of 0.20 em. Find a tolerance interval that includes 90% of the lengths of the bolts with 95% confidence. ...

Verified Answer:

We have

\bar{X}=10.25

and s = 0.20....

Question: 5.21

A sample of 10 concrete blocks manufactured by a certain process had a mean compressive strength of X = 1312 MPa, with standard deviations= 25 MPa. Find a 95% prediction interval for the strength of a block that has not yet been measured. ...

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For a 95% prediction interval, α = 0.025. We have ...

Question: 7.6

Resin-based composites are used in restorative dentistry. The article “Reduction of Polymerization Shrinkage Stress and Marginal Leakage Using Soft-Stmt Polymerization” (C. Ernst, N. Brand, et al. , Journal of Esthetic and Restorative Dentistry, 2003: 93-1 04) presents a comparison of the surface ...

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We have

\bar{X}=400.9, s_X=10.6, n_X=15, \b...

Question: 4.5

Refer to Example 4.4. What is the probability that more than 2 of the 14 vehicles require warranty repairs? ...

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Let X represent the number of invoices in the samp...

Question: 10.14

Refer to Example 10.13. To what value must the process standard deviation be reduced in order for the process to attain six-sigma quality? ...

Verified Answer:

To attain six-sigma quality, the value of C

...

Question: 10.12

Refer to Example 10.11. Assume that it is possible to adjust the process mean to any desired value. To what value should it be set to maximize the value of Cpk ? What will the value of Cpk be? ...

Verified Answer:

The specification limits are LSL = 71.4 and USL = ...

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