In semiconductor manufacturing, wet chemical etching is often used to remove silicon from thebacks of wafers prior to metallization. The etch rate is an important characteristic in this processand known to follow a normal distribution. Two random samples of 10 wafers for each solutionhave been compared and it is assumed that both populations have the same standard deviation. Theobserved etch rates (in mils per min) are shown in Table 3.BUM2413 (Applied Stat15 April 2022, 8.15MUNIVERPUSAT SANTable 3CONFIDENSolution 19.9Solution 210.69.410.210.310.09.310.610.010.29.610.710.310.710.210.4(i)10.1Find a 95% confidence interval for the population mean etchMALASI PAHANGMATEMATIKrates for Solution 1. 110.4reics) TEST15PM10.510.3the interval.NIVERALDEIAL

Given that, n1 = sample size for solution 1 = 10 Confidence level (1-α) = 0.95 or 95% level of…

Answered: In semiconductor manufacturing, wet…

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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A soft-drink machine is regulated so that it discharges an average of 200 mm/cup. If the amount of drink is normally distributed with a standard deviation equal to 15 mm, what fraction of the cups will contain more than 224mm?
An engineer working for a tire manufacturer investigates the average life of a new material to be used in the manufacturing process. For this purpose, he builds a sample of 13 tires and tests them in a laboratory until the end of their useful life is reached. The data obtained from the sample are as follows: average of 60897.9 km and standard deviation of 2734.8 km. The engineer would like to demonstrate that the average service life of the tire with the new material exceeds 60,000 km. a) State the null and alternative hypothesis to be stated in this experiment. Test the stated hypotheses using an α = 0.05 What conclusions are reached? b) Find a 95% confidence interval for the average tire life with the new material. Interpret your answer. (RESPOND MANUALLY) (RESPOND MANUALLY)
A manufacturer knows that their items have a normally distributed lifespan, with a m standard deviation of 1.8 years. The 9% of items with the shortest lifespan will last less than how many years?
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the 80th percentile of component lifetimes?
Currently patrons at the library speak at an average of 61 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 63.8 and their standard deviation was 9. What can be concluded at the the αα = 0.10 level of significance?
Eggs Hens usually begin laying eggs when they areabout 6 months old. Young hens tend to lay smaller eggs,often weighing less than the desired minimum weight of54 grams.a) The average weight of the eggs produced by the younghens is 50.9 grams, and only 28% of their eggs exceedthe desired minimum weight. If a Normal model isappropriate, what would the standard deviation of theegg weights be?b) By the time these hens have reached the age of 1 year,the eggs they produce average 67.1 grams, and 98%of them are above the minimum weight. What is thestandard deviation for the appropriate Normal modelfor these older hens?c) Are egg sizes more consistent for the younger hens orthe older ones? Explain.
Steel rods are manufactured with a mean length of 26centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 25.9cm?
A tire manufacturer claims that the best quality tire sold by the company will last an average of 35,000 miles before wearing out. The standard deviation is 5600 miles. To check on the accuracy of this claim, a consumer’s group randomly selects numerous samples each consisting of 100 such tires manufactured by this company. Within what limits should the average mileage of 90% of these samples lie?
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.935°C.
A firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours and standard deviation of 2 hours. B.) What is the first decile life of the electric bulbs manufactured by this firm?

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