Answer ALL questions.1. A company manufactures LCD monitors, which have a lifespan that is approximatelynormally distributed. If a sample of 21 LCD monitors has an average life of 180 months with UTSa standard deviation of 96 months, find a 95% confidence interval for the true mean length oflifespan of the LCD monitors produced by this company.2. A civil engineering firm issues every new employee with a safety helmet. Four different sizesare available numbered 1 to 4. A random sample of 40 employees required the followingsizes:112 1 4 UTM131221223323 43i.Construct a 90% confidence interval for the proportion of employees requiring size3.ii. The firm stated that at least 32% of the employees wear size 2 helmet. Determine at1% level of significance, whether the data provide sufficient evidence to support thefirm's claim.3. Ophthalmic lens is used in optical device to enhance vision addressing the visual needs of theindividual wearer. Two different polishing solutions can be used for polishing the ophthalmiclenses. 350 lenses were polished using the first polishing-solution, and of this number, 294had no polishing-induced defects. Another 400 lenses were polished using the secondpolishing solution, and 74 lenses had polishing-induced defects.i. Construct a 95% confidence interval on the difference of the proportion polishing-induced defects between the first and second polishing solutions.ii.Based on the result in part (i), is there any indication that both types of polishingsolutions have different effect on the ophthalmic lens? Justify your answer.12234342نیا نیا نا4123222424113144

As per our guidelines we are suppose to answer only one question1)GivenMean(x)=180standard…

Answered: 1. A company manufactures LCD monitors,…

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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