(a) In 1986, the US Space Shuttle Challenger tragically exploded in flight.This accident was caused by the catastrophic failure of rubber 'O-ringseals that linked segments of the rocket boosters together. There weresix O-ring seals in Challenger (and all other Space Shuttles at the time).Table 1 shows the numbers of O-ring seal failures that had occurred oneach of 23 previous Space Shuttle flights.Table 1Number of O-ring seal failuresNumber of failed O-ringsNumber of flights0.4.6.160 0 0 0(i) Letdistribution is appropriate to describe the failure or non-failure of aparticular O-ring seal on a particular flight? (Ensure that youdefine the corresponding random variable appropriately.)be the probability that an O-ring seal fails on a flight. What[2]

Given data Number of failed O-rings 0 1 2 3 4 5 6 Number of flights…

Answered: (a) In 1986, the US Space Shuttle…

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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2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are lined up in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and the temperature increased manually according to time-temperature scale. After cooling, a sample of five units is drawn from a lot and strength-tested by breaking them in a special testing device. To be effective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot from which it came is scrapped. About 10% of the lots have been scrapped in recent times. c. Calculate the pertinent Process Capability Indexes for this process and interpret their meaning relative to your answer to part (b) d. Assuming R chart shows good control, where should the process be centered to ensure that no more than 0.1% of the items do not meet specification (assume a normal distribution)? Calculate the same Process Capability Indexes at this target mean setting.
According to the National Climatic Data Center, San Juan, Puerto Rico, experienced127 days of measurable precipitation(rain) in 1995. This was more days of rain themany of the other weather station reported that year, but it was not considered unusualfor San Juan. By comparison, the situation at Phoenix Arizona, reported 31 days ofprecipitation during the same year (again, not unusual).i. Suppose you were taking a one-day business trip to San Juan. What is theprobability that it will rain while you are there?ii. Suppose you decide instead to take your trip to Phoenix. What is theprobability that measurable precipitations will occur while you are there?
Question 1 is half correct, c,d,e are incorrect. C,D,E are a prioroy please expalin in detail
2. In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 300 trials, the touch therapists were correct 135 times. Complete parts (a) through (d) a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? b. Using Emily's sample results, what is the best point estimate of the therapist's success rate? c. Using Emily's sample results, construct a 99% confidence interval estimate of the proportion of correct responses made by touch therapists. d. What do this result suggest about the ability of touch therapists to select the correct hand by seeing…
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =
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?
We want to know if students with bronchitis at 5 years have more cough symptoms when they grow up. Out of 290 children with Bronchitis at Age 5, 32 of them has cough symptoms at Age 12. Out of 970 children with no Bronchitis at Age 5, 43 of them has cough symptoms at Age 12. Is the cough symptom equally prevalent in both populations?
The table below contains the periodontal status of individuals and their sex. Periodontal status refers to gum disease where individuals are classified as either Healthy, have Gingivitis, or have Periodontal Disease (Perio). Female Male Total Healthy 2108 1124 3232 Gingivitis 1582 937 2519 Perio 873 931 1804 Total 4563 2992 7555 Find Pr{Female or Gingivitis). If necessary, round your answer to 3 places after the decimal.
Please answer #12
The CDC (Center for Disease Control) did a study to see if there is an association between lung cancer and exposure to asbestos (this data set has been made up. However, my understanding is that the association has already been proven). The doctors at the CDC took a SRS of 20 people with lung cancer and a SRS of 30 people without lung cancer. Suppose the incidence of lung cancer is 1 out of every 1000 people (I made this number up).Let C = a randomly selected person has lung cancerLet E = a randomly selected person has been exposed to asbestosUse 3 decimal places for the following questions.P(C | E) =
Amorphophallus johnsonii is a plant called the "corpse flower" that grows in West Africa. Its flowers produce a pungent smell described as "a powerful aroma of rotting fish and faeces". It does so to attract its pollinator, the carrion beetle (Phaeochrous amplus) which live in rotting meat. Beath (1996) observed corpse flowers (hopefully wearing masks) and counted the number of beetles that arrived at each flower over the course of one night. The data is presented below: 51, 45, 61, 76, 11, 117, 7, 132, 52, 149 the mean of this sample is 70.1 beetles the standard deviation of this sample is 48.5 beetles Use the standard deviation of the sample to approximate the standard error of the mean. 1) What is the approximate SE that you calculated? Use the SE approximation method for normal sampling distributions to calculate Confidence Intervals 2) What are the 95% Confidence Intervals for this sample mean? 3) What are the 99% Confidence Intervals for this sample mean? 4) If an expanded…
Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…

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