In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backsof wafers prior to metallization. The etch rate is an important characteristic in this process. Twodifferent etching solutions have been compared, using two random samples of 9 wafers for eachsolution. The observed etch rates are as follows:Solution 1.9.910.610.39.49.310.09.610.310.2Solution 210.210.610.510.710.610.210.59.810.6Can it be concluded at the a = 0.05 level that the solutions are different?

The mean significance between the samples and populations is calculated using hypothesis testing. It…

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 pharmaceutical company fills a drug which is in a powder form into a bottle. It has an automatedprocess consisting of a filling machine and a sealing unit. After filling the bottle, it is automaticallysealed with a metallic cap. To monitor the quality of the process, samples of size 5 are drawnperiodically from the process and the quantity filled is measured. The table below has data on 12such observations.Sample 1 2 3 4 51 9.21 8.87 8.71 9.08 9.342 9.06 8.97 9.13 8.46 8.853 9.35 8.95 9.20 9.03 8.444 9.21 8.71 9.05 9.35 8.875 9.01 9.17 9.21 9.05 9.536 8.74 8.35 8.50 9.06 8.897 9.21 9.05 9.00 8.78 9.238 9.15 9.20 9.23 9.15 9.069 8.98 8.81 8.90 9.13 9.0510 9.03 9.10 9.26 9.44 8.4811 9.49 9.05 9.12 8.88 8.9312 8.95 9.10 9.02 9.04 8.96(a) Establish the upper and lower control limits for the X bar chart and the R Chart(b) Construct a control chart and investigate if the process is in controlValues for setting the control charts are A2 = 0.577, D3 = 0, D4 = 2.114
given normally distributed sample x=12 and s=3, use the Empirical Rule determine the upper and lower bounds to contain approximately 95% of your data
Each experiment compares three treatment conditions, and each experiment uses separate samples of n = 10 for each treatment. Experiment B Treatment 1 2 3 M = 1 M = 10 M = 20 s = 1 s = 2 s = 2 Experiment A Treatment 1 2 3 M = 1 M = 2 M = 3 s = 10 s = 12 s = 15 Just looking at the data – without doing any calculations, which MS between is smaller? a. Experiment B b. They are the same c. Experiment A d. Cannot determine
A randc v ection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets daily which contain 3 grams of vitamin C and various other vitamins and minerals. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment following data are obtained: Days to recover from cold Treated with multivitamin 3.0, 3.2, 6.3, 3.8, 5.8, 7.3, 5.3, 5.7, 7.9, 5.7, 6.2, 4.3, 3.8, 6.1, 4.6 Treated with placebo 7.1, 5.9, 5.5, 5.2, 2.4, 3.7, 4.9, 3.5, 4.3, 6.6, 4.5, 3.2, 3.4, 4.1, 2.9 Send data to calculator v It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately…
Is this correct?
Roy ‘s Texaco wants to keep the price of its unleaded gasoline competitive with that of other stations in the area. Roy’s is currently charging $1.29 per gallon. To check that the average price for this gasoline for all stations within a 15 mile radius is higher than his price, Roy randomly samples the price of unleaded gasoline at ten stations located in this area. He obtains the following data for the price per gallon (in dollars): 1.7, 1.5, 2.6, 2.2, 2.4, 2.3, 2.6, 3.0, 1.4, 2.3 Set up the appropriate hypotheses and test them using a significance level of α= .05
An educational study to be conducted requires a test score in the middle 60% range. If μ = 100 and σ = 15, Find the highest and lowest acceptable scores that would enable a candidate to participate in the study. Assume the variable is normally distributed.
University officials hope that changes they have made have improved the retention rate. Last year, a sample of 2049 freshmen showed that 1537 returned as sophomores. This year, 1516 of 1942 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Consider two models. One model predicts a house's current valuation on the LHS, and uses last year's tax assessment value on the right hand side. Call this model 1. Consider a second model that predicts the number of spouses 70 year olds have had on the left hand side, and uses their monthly number of church visits on the RHS side. Assume that both models rely on samples with the exact same n. Which of the following statements is most likely to be true? Group of answer choices The first model probably has better fit, and a smaller SSR The first model probably has worse fit, and a smaller SSR The first model probably has worse fit, and a larger SSR The first model probably has better fit, and a larger SSR The first model is probably uncovering a non-causal relationship, while the second model is probably a causal relationship
5) You want to determine the effect of soap on bacterial colonies. In order to make sure that the environmentdoes not affect your experiment, you divide 13 different petri dishes in half - one side is exposed to soap, theother is a control.You measure the number of colonies that grow in each petri dish and come up with the following results:petri dish 1 2 3 4 5 6 7 8 9 10 11 12 13soap 10 8 7 10 19 11 13 17 19 8 11 10 16control 18 17 11 17 26 18 21 25 24 17 17 17 21Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soapand control dishes. (The test should be one sided - why?) Again - notice that you are given no advice. You need to figure this out on your own, although this one should be a bit easier than (4). Feel free to use R to solve this problem, just make sureyou don't just hand in a printout.
Exhibit 10-19 Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test. Driver 2 3 4 5 6 7 8 nl+n2 - 2 Manufacturer A nl-n2-1 32 On-l 27 26 26 25 29 31 25 That weird one for independent samples Manufacturer B 28 22 27 24 24 Refer to Exhibit 10-19. What is the formula we would use to find the degrees of freedom in this problem? 25 28 27
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 23.1% and 17.2%, respectively. (Suppose the number of respondents from each state was 2000.) At α=0.05, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e).

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