, After graduating from GSU, you were hired by an electronic manufacturer.As a design engineer, you were given the datasheets of 2 power amplifiers. After checking thedatasheets, you noticed that technically and economically the two amplifiers are the same. Theonly difference is the following:1) Amplifier #1 has a 0.95123 probability of working correctly (no repair is needed) forat least 5 years.2) Amplifier #2 has a 0.9131 probability of working correctly (no repair is needed) for atleast 10 years.If you were told that both amplifiers aging process follows an exponential random variable,which amplifier you will choose and why?

Introduction The exponential prob. dist. is a continuous prob. dist.

Answered: , After graduating from GSU, you were…

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 manufacturer produces boxes of candy, each containing 10 pieces. Two machines are used for this purpose. After a large batch has been produced, it is discovered that one of the machines, which produces 40% of the total output, has a fault that has led to the introduction of an impurity into 10% of the pieces of candy it makes. The other machine produced no defective pieces. From a single box of candy, one piece is selected at random and tested. If that piece contains no impurity, what is the probability that the faulty machine produced the box from which it came?
Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured. Two outputs are given below. Which is appropriate for analyzing the data collected? Output 1 Output 2 Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test. Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output. Ho:μd=0Ho:μd=0Ha:μd<0Ha:μd<0 Ho:μd=0Ho:μd=0Ha:μd≠0Ha:μd≠0 Ho:μd=0Ho:μd=0Ha:μd>0Ha:μd>0 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1>μ2Ha:μ1>μ2 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1≠μ2Ha:μ1≠μ2 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2 αα =…
An apartment management company wants to explore the consequences of allowing residents to have multiple dogs. They would like to find out whether the number of dogs predicts resident ratings. They would also like to control for the year the apartment complex was built because thaty might also affect the resident rating. They have collected data on several of their existing complexes. For each complex, they have counted the number of dogs currently living in the complex, the year the complex was built, and the average rating for that particular complex. They would like to perform a multiple regression on these variables to predict resident ratings. See data below. These data are the same as the previous question. Multiple Dog Consequences Number of dogs Year of facility Rating (out of 5) 54 1975 2 31 1964 3.5 0 2015 4.8 11 2011 3.8 73 1964 2.3 23 2016 3.7 0 2015 4.7 49 1989 2.7 What is the b coefficient for Number of Dogs? Round to 3 decimal places.
Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 15 adult male fitness center members from the membership database and then selects 15 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 11 male μ1 n=15 x¯1=137.7 s=51.7 22 female μ2 n=15 x¯2=114.6 s=34.2 df=24.283 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-t-procedures to estimate the…
A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.
A study was conducted to investigate whether local car mechanics charge women more than men for an alternator repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same alternator repair. The process was repeated for a total of six selected randomly cars. The repair prices and the differences (Women – Men) are shown in the table. Do the data provide convincing statistical evidence that women pay more than men for the same alternator repair?
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 6 7 10 11 8 12 9 8 3 7 11 12 After 5 5 11 8 8 8 6 9 4 6 9 12…
Can a person train to become better at holding their breath? An experiment was designed to find out. Twelve volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds). Group 1: 90, 88, 70, 110, 75, 105 Group 2: 40, 48, 35, 50, 55, 62 The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let ₁ = the true mean amount of time that volunteers who were given training held their breath and ₂ = the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses? Ho: U1 - U2 = 0, Ha:…
Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10
Students in a class like to secretly use online calculators in their quizzes. There are three such online calculators favoured amongst the students: WolframAlpha (WA), Symbolab (S), and GeoGebra (GG). A student's favourite calculator changes from quiz to quiz according to the following rules: If a student likes WA best, then it is has a 50% chance of remaining their favourite for the next quiz; 25% of becoming S for the next quiz; and 25% of becoming GG for the next quiz. If a student likes S best, then it has a 50% chance of becoming WA for the next quiz, and a 50% chance of becoming GG for the next quiz. If a student likes GG best, then it has a 33.3% chance of becoming any of the three calculators for the next quiz. For the first quiz, there are 120 who count WA as their favourite; 80 who count S as their favourite; and 50 who count GG as their favourite. What is true about the fourth quiz? Choose one of the following: 1. 115 students favour WA; 52 students favour S; and 83…
Some people seem to believe that you can fix anything with duct tape. Even so, many were skeptical when researchers announced that duct tape may be a more effective and less painful alternative than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. Those in the duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in water, and used an emery board to scrape the area. This process was repeated for a maximum of 2 months or until the wart was gone. Data consistent with values in the article are summarized in the following table. Number with Wart Treatment Successfully Removed Liquid nitrogen freezing 103 60 Duct Tape 100 88 A USE SALT Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using a…

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