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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
problem and minitab output is given below. please solve A, B, C, D with step by step and as much explanation as possible
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
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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