42. Nylon bars were tested for brittleness (Bennett and Franklin 1954). Each of 280bars was molded under similar conditions and was tested in five places. Assumingthat each bar has uniform composition, the number of breaks on agiven bar shouldbe binomially distributed with five trials and an unknown probability p of failure.If the bars are all of the same uniform strength, p should be the same for all ofthem; if they are of different strengths, p should vary from bar to bar. Thus, thenull hypothesis is that the p's are all equal. The following table summarizes theoutcome of the experiment:Breaks/Bar Freuency15769351704a. Under the given assumption, the data in the table consist of 280 observationsof independent binomial random variables. Find the mle of p.b. Pooling the last three cells, test the agreement of the observed frequencydistribution with the binomial distribution using Pearson's chi-square test.

Given Nylon bars are tested for brittleness. The breaks on a given bar is binomial distributed with…

Answered: 42. Nylon bars were tested for…

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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The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
Suppose a study uses independent groups and has 38 individuals in one group and 34 individuals in a second group. In comparing the means with a t test, how many degrees of freedom (df) would you have?
Suppose the manager agrees to pay each employee a$50bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change fime would there be a10%chance of being at or below? This will be the goal established by the manager. There would be a10%chance of being at or below minutes.
Certain shipments are guaranteed to contain no more than 15% defective units. The inspection consists in that if of a sample of size 10 the proportion of defective units is greater than 15%, the shipment will be returned. If in fact 15% of the shipment is defective, how likely is it to pass inspection %?
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?
If samples of a fixed size N are drawn randomly and with replacement from the same population of scores, should we expect the sample means to differ across samples? why or why not?
Each of the boxplots shown summarizes 24 student scores on a recent test in two different classes. The boxplots are drawn using a common numerical scale. Which of the following must be true? 1. The lower 25% of Class B are much more spread out than the lower 25% of Class A 2. More people scored below the lower quartile for Class A than Class B 3. The distribution for Class B is skewed left and has a noticeable outlier as well, while the distribution for Class A is somewhat skewed right 4.Class A had more people between the median and the lower quartile than Class B. 3.The distribution for Class A is somewhat symmetric, while the distribution for Class B is skewed right with a noticeable outlier as well
A student randomly guesses at four multiple-choice questions. Each question has three possible choices. The random variable X denotes the number of correct answers. This experiment can be modeled as Oa) a normal experiment with mean 4 and standard deviation 1/3. O b) a normal experiment with mean 1/3 and standard deviation 4. O c) a binomial experiment with 3 trials and success probability 1/4. O d) a binomial experiment with mean 4 and standard deviation 1/3 O e) a binomial experiment with 4 trials and success probability 1/3.
At ABC College it is estimated that at most 10% of the students use public transportation to the college. Does it seem to be a valid estimate if, in a random sample of 120 students, 25 students use public transportation. (Use α = .01)
The single sample z test may be used to determine: a)the variability in the sample b)if a sample mean is different from a known population mean c)if two population means are different d)the variability in the population of sample means

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