Pipes used in a water distribution network are susceptible to breakage due to a variety of factors. When pipes break, engineers must decide whether to repair or replace the broken pipe. A team of civil engineers estimated the ratio of repair to replacement cost of commercial pipe based on the diameter (in millimeters) of the pipe.(IHS Journal of Hydraulic Engineering,September 2012.) The ratios for a sample of 12 different pipe sizes are listed in the accompanying data table. Assume these data represent a random sample selected from all possible types of commercial pipe. A technology analysis of the data is also given. a. Locate a 95% confidence interval for the mean ratio of repair to replacement cost for all commercial pipe on the accompanying technology printout. ### Technology Analysis: One-Sample T-Test on RatioThe table presents descriptive statistics for a one-sample T-test on the ratio:- **N (Sample Size):** 12 - The total number of observations in the sample.- **Mean:** 8.278 - The average value of the ratio in the sample.- **StDev (Standard Deviation):** 0.996 - This measures the amount of variation or dispersion of the ratio from the mean.- **SE Mean (Standard Error of the Mean):** 0.287 - This indicates how far the sample mean is likely to be from the population mean.- **95% CI for μ (95% Confidence Interval for the Mean):** (7.645, 8.911) - The range in which we are 95% confident that the true population mean of the ratio lies.The bottom note, "μ: mean of RATIO," indicates that the symbol μ represents the mean of the ratio. **Data Table**This table presents a sequence of numerical values. These values are listed as follows:- 6.584- 6.973- 7.390- 7.779- 7.922- 8.201- 8.420- 8.599- 8.969- 9.310- 9.472- 9.718No graphs or diagrams accompany this table. The data appears in a simple linear format.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Pipes used in a water distribution network are susceptible to breakage due to a variety of factors. When pipes break, engineers must decide whether to repair or replace the broken pipe. A team of civil engineers estimated the ratio of repair to replacement cost of commercial pipe based on the diameter (in millimeters) of the pipe.(IHS Journal of Hydraulic Engineering,September 2012.) The ratios for a sample of 12 different pipe sizes are listed in the accompanying data table. Assume these data represent a random sample selected from all possible types of commercial pipe. A technology analysis of the data is also given.

a. Locate a 95% confidence interval for the mean ratio of repair to replacement cost for all commercial pipe on the accompanying technology printout.