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7.55 Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- APIPE face roughness of coated interior pipe used in oil fields, Exercise 6.33 (p. 318). The data (in micrometers) for 20 sampled pipe sections are reproduced in the next table. a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, μ, differs from 2 micrometers. b. Find the test statistic for the hypothesis test. c. Give the rejection region for the hypothesis test, using a = .05. d. State the appropriate conclusion for the hypothesis test. e. A Minitab printout giving the test results is shown at the top of the page. Find and interpret the p-value of the test. f. In Exercise 6.33 you found a 95% confidence interval for μ. Explain why the confidence interval and test lead to the same conclusion about μ.

7.55 Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- APIPE face roughness of coated interior pipe used in oil fields, Exercise 6.33 (p. 318). The data (in micrometers) for 20 sampled pipe sections are reproduced in the next table. a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, μ, differs from 2 micrometers. b. Find the test statistic for the hypothesis test. c. Give the rejection region for the hypothesis test, using a = .05. d. State the appropriate conclusion for the hypothesis test. e. A Minitab printout giving the test results is shown at the top of the page. Find and interpret the p-value of the test. f. In Exercise 6.33 you found a 95% confidence interval for μ. Explain why the confidence interval and test lead to the same conclusion about μ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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problem and minitab output is given below. please solve A, B, C, D with step by step and as much explanation as possible

One-Sample T: ROUGH Test of mu 2 vs not - 2 95% CI Mean St Dev SE Mean 20 1.88100 0.52391 0.11715 (1.63580, 2.12620) Variable N ROUGH Minitab output for Exercise 755 T P -1.02 0.322
Transcribed Image Text:One-Sample T: ROUGH Test of mu 2 vs not - 2 95% CI Mean St Dev SE Mean 20 1.88100 0.52391 0.11715 (1.63580, 2.12620) Variable N ROUGH Minitab output for Exercise 755 T P -1.02 0.322
7.55 Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- APIPE face roughness of coated interior pipe used in oil fields, Exercise 6.33 (p. 318). The data (in micrometers) for 20 sampled pipe sections are reproduced in the next table. a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, μ, differs from 2 micrometers. b. Find the test statistic for the hypothesis test. c. Give the rejection region for the hypothesis test, using α = .05. d. State the appropriate conclusion for the hypothesis test. e. A Minitab printout giving the test results is shown at the top of the page. Find and interpret the p-value of the test. f. In Exercise 6.33 you found a 95% confidence interval for μ. Explain why the confidence interval and test lead to the same conclusion about u. 1.72 2.50 2.16 2.13 1.06 2.24 2.31 2.03 1.09 1.40 2.57 2.64 1.26 2.05 1.19 2.13 127 151 2.41 1.95 Source: Data from Farshad, F., & Pesacreta, T. "Coated pipe interior surface roughness as measured by three scanning probe instruments," Anti-corrosion Methods and Materials, Vol. 50, No. 1, 2003 (Table III).
Transcribed Image Text:7.55 Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- APIPE face roughness of coated interior pipe used in oil fields, Exercise 6.33 (p. 318). The data (in micrometers) for 20 sampled pipe sections are reproduced in the next table. a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, μ, differs from 2 micrometers. b. Find the test statistic for the hypothesis test. c. Give the rejection region for the hypothesis test, using α = .05. d. State the appropriate conclusion for the hypothesis test. e. A Minitab printout giving the test results is shown at the top of the page. Find and interpret the p-value of the test. f. In Exercise 6.33 you found a 95% confidence interval for μ. Explain why the confidence interval and test lead to the same conclusion about u. 1.72 2.50 2.16 2.13 1.06 2.24 2.31 2.03 1.09 1.40 2.57 2.64 1.26 2.05 1.19 2.13 127 151 2.41 1.95 Source: Data from Farshad, F., & Pesacreta, T. "Coated pipe interior surface roughness as measured by three scanning probe instruments," Anti-corrosion Methods and Materials, Vol. 50, No. 1, 2003 (Table III).
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