Applied Statistics and Probability for Engineers 6th Edition solutions

Applied Statistics and Probability for Engineers 6
For an distribution, find the following: (a) \(f_{0.25,5,10}\) (b) \(f_{0.10,24,9}\) (c) \(f_{0.05,8,15}\) (d) \(f_{0.75,5,10}\) (e) \(f_{0.90,24,9}\) (f) \(f_{0.95,8,15}\) Equation Transcription: Text Transcription: f_0.25,5,10 f_0.10,24,9 f_0.05,8,15 f_0.75,5,10 f_0.90

Applied Statistics and Probability for Engineers 6
10-64. For an \(\mathrm{F}\) distribution, find the following: (a) \(f_{0.25,7,15}\) (b) \(f_{0.10,10,12}\) (c) \(f_{0.01,20,10}\) (d) \(f_{0.75,7,15}\) (e) \(f_{0.90,10,12}\) (f) \(f_{0.99,20,10}\)

Applied Statistics and Probability for Engineers 6
Consider the hypothesis test \(H_0\ :\ \sigma_1^2=\sigma_2^2\) against \(H_1\ :\ \sigma_1^2<\sigma_2^2\) respectively. Suppose that the sample sizes are \(n_{1}=5\) and \(n_{2}=10\), and that \(s_{1}^{2}=23.2\) and \(s_{2}^{2}=28.8\). Use \(\alpha=0.05\). Test the hypothesis and explain how the test

Applied Statistics and Probability for Engineers 6
Consider the hypothesis test \(H_0\ :\ \sigma_1^2=\sigma_2^2\) against \(H_1\ :\ \sigma_1^2>\sigma_2^2\). Suppose that the sample sizes are \(n_{1}=20\) and \(n_{2}=8\), and that \(s_{1}^{2}=4.5\) and \(s_{2}^{2}=2.3\). Use \(\alpha=0.01\). Test the hypothesis and explain how the test could be condu

Applied Statistics and Probability for Engineers 6
Consider the hypothesis test \(H_{0}: \sigma_{1}^{2}=\sigma_{2}^{2}\) against \(H_{1}: \sigma_{1}^{2} \neq \sigma_{2}^{2}\). Suppose that the sample sizes are \(n_{1}=15\) and \(n_{2}=15\), and the sample variances are \(s_{1}^{2}=2.3\) and \(s_{2}^{2}=1.9\). Use \(\alpha=0.05\). (a) Test the hypoth

Applied Statistics and Probability for Engineers 6
Problem 68E Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviatio

Applied Statistics and Probability for Engineers 6
A study was performed to determine whether men and women differ in repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were \(s_\mathrm{men} = 0

Applied Statistics and Probability for Engineers 6
Consider the foam data in Exercise 10-20. Construct the following: (a) Go Tutorial A 90% two-sided confidence interval on \(\sigma_{1}^{2} / \sigma_{2}^{2}\). (b) A 95% two-sided confidence interval on \(\sigma_{1}^{2} / \sigma_{2}^{2}\). Comment on the comparison of the width of this interval wi

Applied Statistics and Probability for Engineers 6
Consider the diameter data in Exercise . Construct the following: (a) A two-sided confidence interval on \(\sigma_{1\ }/\ \sigma_2\). (b) A two-sided confidence interval on \(\sigma_{1\ }/\ \sigma_2\). Comment on the comparison of the width of this interval with the width of the interval in part (a

Applied Statistics and Probability for Engineers 6
Consider the gear impact strength data in Exercise 10-24. Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers? Use \(\alpha=0.05\).

Applied Statistics and Probability for Engineers 6
Consider the melting-point data in Exercise Do the sample data support a claim that both alloys have the same variance of melting point? Use \(\alpha=0.05\) in reaching your conclusion. Equation Transcription: Text Transcription: alpha=0.05

Applied Statistics and Probability for Engineers 6
Exercise presented measurements of plastic coating thickness at two different application temperatures. Test \(H_0\ :\ \sigma_1^2=\sigma_2^2\) against \(H_1\ :\ \sigma_1^2\ne \sigma_2^2\) using \(\alpha=0.01\). Equation Transcription: Text Transcription: H_0:sigma_1^2=sigma_2^2

Applied Statistics and Probability for Engineers 6
Reconsider the overall distance data for golf balls in Exercise . Is there evidence to support the claim that the standard deviation of overall distance is the same for both brands of balls (use \(\alpha=0.05\))? Explain how this question can be answered with a confidence interval on \(\sigma_{1\ }/

Applied Statistics and Probability for Engineers 6
Reconsider the coefficient of restitution data in Exercise 10-34. Do the data suggest that the standard deviation is the same for both brands of drivers (use \(\alpha=0.05\))? Explain how to answer this question with a confidence interval on \(\sigma_{1\ }/\ \sigma_2\). Equation Tra

Applied Statistics and Probability for Engineers 6
Consider the weight of paper data from Technometrics in Exercise 10-32. Is there evidence that the variance of the weight measurement differs for the sheets of paper? Use \(\alpha=0.05\). Explain how this test can be conducted with a confidence interval.

Applied Statistics and Probability for Engineers 6
Consider the film speed data in Exercise . (a) Test \(H_0\ :\ \sigma_1^2=\sigma_2^2\) versus \(H_0\ :\ \sigma_1^2\ne \sigma_2^2\) using \(\alpha=0.02\). (b) Suppose that one population standard deviation is larger than the other. Is the sample size \(n_{1}=n_{2}=8\) adequate to detect this differenc

Applied Statistics and Probability for Engineers 6
Consider the etch rate data in Exercise 10-23. (a) Test the hypothesis \(H_{0}: \sigma_{1}^{2}=\sigma_{2}^{2}\) against \(H_{1}: \sigma_{1}^{2} \neq \sigma_{2}^{2}\) using \(\alpha=0.05\), and draw conclusions. (b) Suppose that if one population variance is twice as large as the other, you want to d

Applied Statistics and Probability for Engineers 6
Consider the swimming data in Exercise 10-37. Is there evidence to suggest that the standard deviations of the heats differ for slower swimmers in heat five and the faster swimmers in heat seven? What about the standard deviations of the two sets of elite swimmers in heats six and seven? Use \(\alpha

Applied Statistics and Probability for Engineers 6
Is there evidence to suggest that the standard deviations of the algac concentrations in the two types of rivers (flow rates) in Exercise differ? Use \(\alpha=0.05\). Equation Transcription: Text Transcription: alpha=0.05