Normal Probability Plot of the Resdualsresponse s STRENGTH2.Narmal SoreResidualsVersus the Fitted Values(sponsa is STRE NOTH)1520FRed VaueResduals Versus COTTONsponse is STRE NG TH)26COTTONpps In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which thetensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage ofcotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below.ObservationsCotton Percentage2 3 417 15 11 915712 17 12 18 182014 18 18 19 19253019 25 22 19 233510 11 15 11(a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength.Does cotton percentage affect breaking strength?COTTON(b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05.Calculate to 2 decimal places fo:Does cotton percentage affect breaking strength?(c) Analyze the following residual plots to determine model adequacy.Does the assumption of normality seem reasonable?Does the assumption of constant variance seem reasonable?STRENGTH

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Answered: In Design and Analysis of Experiments,…

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 tire manufacturer has been producing tires with an average life expectancy of 28,000 miles. Now the company is advertising that its new tires' life expectancy has increased. In order to test the legitimacy of the advertising campaign, an independent testing agency tested a sample of 12 of their tires and has provided the following data. Longevity (In Thousands of Miles) 28.0 26.5 27.2 26.0 28.3 26.4 29.1 25.0 28.1 27.7 28.3 26.9 a. Determine the mean and the standard deviation. Formulate the correct hypotheses to determine whether b. or not the tire company is using legitimate advertising. At the .05 level of significance using the critical value approach, test to determine whether or not the tire company is using legitimate advertising. Assume the population is normally distributed. d. Repeat the test using the p-value approach. C.
An official of a large car manufacturing company wanted to study the relationship between an employee's age and the number of absences. For this, a random sample of 10 randomly selected employees was collected and the following data was obtained. The material: age 40 28 34 27 21 38 19 55 31 35 number of absences 1 6 6 9 12 4 13 2 5 3 (a) Predict the number of absenteeism for a 42-year-old employee.(b) Determine the 95% prediction interval for the number of absences for the employee in (a).
The cost of a university education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. A random sample of 20 students was selected and the following values were observed: 26 15 10 40 10 20 30 36 40 0 5 10 20 32 16 12 40 36 10 0 The correct null and alternative hypotheses are H0 : µ = 20 and HA : µ > 20. H0 : µ = 20 and HA : µ ≠ 20. H0 : µ = 20 and HA : µ < 20. H0 : µ > 20 and HA : µ = 20.
In Exercises, we present descriptions of designed experiments. In each case, identify the a.experimental units.b.response variable.c.factor(s).d.levels of each factor.e.treatments. Dexamethasone and IQ. In the paper “Outcomes at School Age After Postnatal Dexamethasone Therapy for Lung Disease of Prematurity” (New England Journal of Medicine, Vol. 350, No. 13, pp. 1304–1313), T. Yeh et al. studied the outcomes at school age in children who had participated in a double-blind, placebo-controlled trial of early postnatal dexamethasonetherapy for the prevention of chronic lung disease of prematurity. One result reported in the study was that, at school age, the control group of 74 children had an average IQ score of 84.4, whereas the dexamethasone group of 72 children had an average IQ score of 78.
Medical research has shown that repeated wrist extensions beyond 20 degrees increase the risk of wrist and hand injuries. Each of 24 students at a university used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded. Data consistent with summary values given in a paper are given here. 27 22 29 24 27 27 25 25 24 24 24 25 28 25 24 28 27 26 31 25 28 27 27 25 USE SALT (a) Use these data to estimate the mean wrist extension for people using this new mouse design using a 90% confidence interval. (Round your answers to three decimal places.)
In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)? 5 mph Collision Damage ($) Crash Type Goliath Varmint Weasel Head-On 700 1,700 2,280 1,400 1,650 1,670 850 1,630 1,740 Slant 1,430 1,850 2,000 1,740 1,700 1,510 1,240 1,650 2,480 Rear-end 700 860 1,650 1,250 1,550 1,650 970 1,250 1,240 (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for…
Please provide the answer using minitab
The manager of a company that assembles and exports a particular type of pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on jobTraining hours (x) 20 36 20 38 40 33 32Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received by assembly workers and their output (i.e. number of units assembled per day). (iii) Interpret, in context, the gradient/slope of the regression line. (iv) Estimated the output at 20 hours training time. (v) Interpret the…
part F G
Medical research has shown that repeated wrist extensions beyond 20 degrees increase the risk of wrist and hand injuries. Each of 24 students at a university used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded. Data consistent with summary values given in a paper are given here. 27 27 23 26 27 25 25 24 22 25 24 28 27 26 31 25 USE SALT 24 24 25 28 28 27 27 25 (a) Use these data to estimate the mean wrist extension for people using this new mouse design using a 90% confidence interval. (Round your answers to three decimal places.) 25.148 26.518 ]× )
2. A researcher had rats engage in a lever-press task for either a small, medium, or larger reward. The number of lever presses was the dependent variable. The data were as follows: Reward Size Small Medium Large 1 4 6 4 3 5 1 4 4 2 5 T = 13 SS = 2.75 T= 6 T= 20 SS = 9 SS = 2 EX2 = 165 a. Do the data indicate that reward size had a significant impact on lever-pressing? Use the hypothesis testing steps & p = .05. Compute any necessary post-hoc tests. b. Compute eta-squared to measure the effect size.
what is the p value? is the p-value low? can we conclude?

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