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
1.Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. A) The researcher wants to know if the sample of males consume significantly more energy drinks than the overall population average. What are the independent and dependent variables? Using symbols, state the hypotheses for the type of test you indicated in part b. (H0and H1) Sketch the appropriate distribution and locate the critical region for α…
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?
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3. A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: Species K Species L 4.7 5.3 5.2 4.6 6.1 4.1 5.8 4.8 5.2 4.2 а. Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You mav need to do an additional test to decide which test to apply for comparing the means) b. What is the power of the test in part a? С. The researcher would like to design a new experiment which will allow a two tailed hypothesis test with significance 0.05 and power 0.90. What should be the sample sizes nk and ni for Species K and Species L (use k = 1). %3D
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a) A study was conducted to compare the difference in time spent per week (in hour) on watching television by tow programs' students (Program A and Program B). Ten samples were selected from both programs. Based on the MINITAB output given below, answer the following questions. Assume that the distribution of time spent watching television is normally distributed. Two-sample T-Test and CI : Program A, Program B SE Mean Sample Program A Program B Mean StDev 10 21.30 3.40 1.1 10 20.50 2.12 0.67 Difference = mu (Program A) Estimate for difference: 95% CI for difference: T-Test of difference = 0 (vs #) :T-Value 0.63 P-Value = 0.536 DF = 18 mu (Program B) 0.80 (-1.86, 3.46) Both use Pooled StDev = 2.8332 Are the two samples independent? State the null and alternative hypothesis. What is the p-value in the above analysis? Is there sufficient evidence to conclude a difference in the time spent per week (in hour) on watching television by the two programs' students at 5% significance level. i)…
pls hurry i need help and this is due soon and im almost late pls hurry with work
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