Three different design configurations are being considered for a particular component. There are four possible failure modes for the component. An engineer obtained the following data on number of failures ineach mode for each of the three configurations. Does the configuration appear to have an effect on type of failure?O Ho: PijState the appropriate hypotheses.Pi.P.j=1Configuration 23=USE SALTO Ho: PijHa: at least one Pij#i = 1, 2, 3; j = 1, 2, 3, 4Ho: Pij * P₁. • P.jHa: at least one pij = P₁. • P.j#Pi.P.j= 1, 2, 3; j = 1, 2, 3, 4P₁.P.jHa: at least one Pij =Failure Mode12344172241910 31 14i = 1, 2, 3; j = 1, 2, 3, 4Pi.P.jO Ho: Pij = P₁. P.j i = 1, 2, 3; j = 1, 2, 3, 4H₂: at least one Pij ‡ Pi. ' P.j497 125Compute the test statistic value. (Round your answer to three decimal places.)x²

Data is given for failure mode and configuration We have to calculate chi-square value.

Answered: Three different design configurations…

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 study was conducted using undergraduates at a urban university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the amount of alcohol consumed (in drinks) in any one day for the past month. Administrators hypothesize that freshmen consume more alcohol than juniors. Based on the information in the table below, what can be concluded with an a of 0.107 freshmen juniors ân = 6.6 i2 = 7.6 ô1 = 1.2 ôz = 2.2 ni- 15 n2 = 14 a) What is the appropriate test statistic? --Select--- b) Condition 1: ---Select-- Condition 2: ---Select--- c) Obtain/compute the appropriate values to make a decision about Ho. ; Test Statistic = Critical Value = Decision: --Select--- d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below. e) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. d= ; Magnitude: ---Select--- ; Magnitude: --Select-
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Consider an experiment in which the number of pumps in use at each of two eight-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U by X = the total number of pumps in use at the two stations Y = the difference between the number of pumps in use at Station A and the number in use at Station B U = the maximum of the numbers of pumps in use at the two stations. Another random variable could be V = the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V? О-в, -7, -6, -5, —4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 O 0, 1, 2, 3, 4, 5, 6, 7 О о, 1, 2, 3, 4, 5, 6, 7, 8 О -8, -7, -6, -5, -4, -3, —2, -1, 0 О-7, -6, -5, -4, -3, -2, -1, о Another random variable could be W = T, + T,. Let T, = 1 if any of the pumps at Station A is in use and 0 otherwise, and T, = 1 if any of the pumps at Station B is in use and 0 otherwise. What are the possible values of W? O -2, -1, 0, 1,…
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4. Calculate SStotal, SSpetween, and SSwithin for the following set of data: Treatment 1 Treatment 2 Treatment 3 n = 10 n = 10 n = 10 N = 30 %3D T = 10 T = 20 T = 30 G = 60 %3D %3D %3D SS = 27 SS = 16 SS = 23 EX = 206 %3D %3D %3D
D.5.
Two teaching assistants, Camille and Julianne, wanted to investigate the the average number of hours students spend on homework each week. The hypotheses they used were: Ho: µ 3.5, Ha: µ > 3.5. Each TA collected a random sample of 50 students and performed the hypothesis test. Camille rejected the null hypothesis based on her sample, and Julianne failed to reject the null hypothesis based on her sample. Suppose the actual average time students spend on homework each week is 3.2 hours. Which of the following is correct? A. Camille committed no error and Julianne committed a typeI error. B. Camille committed no error and Julianne committed a Type Il error. C. Camille committed a type I error and Julianne committed no error. D. Camille committed a type I error and Julianne committed a type Il error.
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Kenya is a behavioral psychologist who works with children on the Autism Spectrum. She suggests that blowing bubbles may effect children's eye contact (she hasn't predicted if it would increase or decrease). She works with a student who makes 5 points of eye contact in a session. How would the NULL hypothesis be state for her study using bubbles? µ < 5 µ = 5 µ > 5 µ ≠ 5
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2. Who supports gun control laws more: females or males? Data were collected from a sample of 980 people. We see that 379 of the 460 females in the sample support gun control laws, while 318 of the 520 males in the sample support gun control laws. We will investigate the difference in proportions of females and males who support gun control laws. (This dataset is preloaded in Statkey.) a) What parameter are we trying to estimate? Give correct notation and a brief written description. b) What is the best point estimate for the difference in the proportions of gun control law supporters? Use correct notation and include the value. c) Find a 99% bootstrap confidence interval using the Percentile Method Include a screen shot of your StatKey output. 99% CI: d) Find a 95% bootstrap confidence interval using the Standard Error Method (show calculations based on bootstrap estimate of standard error as shown in graph from previous step): 95% CI e) Interpret the 95% confidence interval. Be sure…
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