Ex 6.14 modified as follows: In a random sample of 55 panels, the average failure time is 2.07 years and the standard deviation is 1.11 years. Find the 91.7% CI for the population mean failure time **Problem Statement:**1. **Ex 6.14 Modified:** - In a random sample of 55 panels, the average failure time is 2.07 years, and the standard deviation is 1.11 years. Find the 91.7% Confidence Interval (CI) for the population mean failure time.**Excerpt from Textbook:**- **CHAPTER 6: Inferences Based on a Single Sample.** - **6.14 Wear-out of Used Display Panels:** - Refer to Exercise 4.126 (p. 247) regarding the study of wear-out failure time of used colored display panels bought by an outlet store. The failure times (in years) for a sample of 50 used panels are provided in a table. An XLSTAT output of the analysis is displayed. - **Tasks:** - **a.** Locate a 95% confidence interval for the true mean failure time of used colored display panels. - **b.** Provide a practical interpretation of the interval from part a. - **c.** In repeated sampling of the population of used colored display panels, determine the proportion of all confidence intervals that would capture the true mean failure time if computed at 95% confidence.- **Data Table (Failure Times):** - A table listing failure times in years for individual panels, ranging from 0.01 to 3.50.- **XLSTAT Output:** - Summary statistics for "FailTime": - **Observations:** 50 - **Minimum:** 0.0100 - **Maximum:** 3.500 - **Mean:** 1.9350 - **Standard Deviation:** 0.9287 - **95% Confidence Interval on the Mean:** [1.6776, 2.1924]**Source Information:**- Based on a paper "A Weibull Wearout Test: Full Bayesian Approach," presented at the Mathematical Sciences Colloquium in Binghamton, UK, December 2001.**Discussion:**- The exercise involves computing and interpreting confidence intervals, which are estimates of a population parameter based on a sample statistic. The context is a practical scenario involving wear-out times of display panels.

Given: n = 55 X = 2.07 s = 1.11 Confidence level = 91.7% Formula Used: Confidence interval = X ± tsn

Answered: modified as follows: In a random sample…

modified as follows: In a random sample of 55 panels, the average failure time is 2.07 years and the standard deviation is 1.11 years. Find the 91.7% CI for the population mean failure time

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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