Problem #1: Cotton Tensile StrengthThe Sturdy Fabric recently started an investigation into the formulation of synthetic fibers thatare used to make cloth. The response the company is interested in is the tensile strength of thefiber. The experimenter wants to determine the best level of the cotton in terms of percent, toachieve the highest tensile strength of the fiber. Therefore, we have a single quantitative factor,the percent of cotton combined with synthetic fabric fibers.The five treatment levels of percent cotton are evenly spaced from 15% to 35%. We have fivereplicates, five runs on each of the five cotton weight percentages.ObservationsCotton1 2 3 4 57 7Weight Percentage1515 11 92012 17 12 18 182514 18 18 19 193019 25 22 19 2335710 11 15 111)-Use Minitab or other software to conduct Analysis of Variance and determine the best level(Percentage) of cotton that results in highest fiber strength2)- Interpret the output (Analysis of Variance Table)

Introduction Denote μ1, μ2, μ3, μ4, and μ5 as the true mean tensile strength of the fiber for levels…

Answered: The Sturdy Fabric recently started an…

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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Suppose you are to design an experiment for the following problems, identify the independent variable(IV), dependent variable (DV), two to three constant factors and the possible control (NEGATIVE OR POSITIVE) to be used in the experiment. 4. What is the effect of the amount of time spent on social media on a person’s anxiety level?Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ 5. Do rice plants grow faster in saline water compared to pure water? Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ Example: 1. Does the type of glue affects…
Using the small model estimated above in Problem (2), what is the estimated Income for someone who: a. Is a 50-year old smoker with a BMI of 40? b.Is a non-smoking woman who has a BMI of 30? c. Is a blue-haired, 25-year old, unemployed smoker with a BMI of 20?
Question 2Identify the following variables as qualitative or quantitative. (c) the fast-food establishment preferred by customers such as McDonalds orBurger King.(d) the mercury concentration in a sample of tuna.
Problem 2 The following printout shows the results of a simple linear regression model that predicts monthly sales (in thousands of dollars) based on how much money was spent on advertising (in thousands of dollars) during a particular month for 15 stores of a retail chain. a) Is there a statistically significant relationship between money spent on advertising and sales? Test at the 5% level of significance and explain your approach (including hypotheses). b) Somebody claims that every additional $1,000 in advertising will increase sales by more than $2,000 in the population. Can you find support for this claim given the results of your analysis? Test at the 5% level of significance and explain your approach (including hypotheses). How is this test different from the one in part a)? c) Find a 95% confidence interval for the change in sales given a $1,000 increase in the amount of money spent on advertising. How does this confidence interval relate to your answer to part a)?
In general, ___________% of the values in a data set lie at or below the 28 th percentile. _______________ % of the values in a data set lie at or above the 90 th percentile.. If a sample consists of 700 test scores, _________of them would be at or below the 52 th percentile. If a sample consists of 700 test scores, ________ of them would be at or above the 64 th percentile.
QUESTION 25 A clinical trial is being conducted in order to determine the efficacy of a new drug used to treat Rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but also by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 3.0 mg/dL, and if the standard deviation for C-reactive protein concentrations among arthritis patients was previously documented at 8 mg/dL, how many patients should be recruited for each group in the study assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? nfor the treatment group = 112; n for the control group = 111 nfor the treatment group = 56; n for the control group = 57 nfor the treatment group = 55; n…
Problem 1: The regression below relates earnings to years of experience for a sample of 30 working adults. wage = 15.6 + 1.4*exp Predictor Coef SE Coef T Constant 15.6 2.38 6.55 Exp 1.40 .60 2.33 where wage equals hourly wage rate ($/hour) and exp equals years of work experience a)According to the above regression results, by how much does a year of experience increase the hourly wage rate? b)For a = .05, test the hypothesis that increases in experience are associated with increases in earnings. Clearly state the null and alternative hypotheses, show all relevant statistics for performing the test, and report the conclusion of your test. c)For a = .05 test the hypothesis that a 1year increase in experience increases the wage rate by more than $1/hour. Clearly state the null and alternative hypotheses, show all relevant statistics for performing the test, and report the conclusion of your test. d)…
Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
Suppose you are to design an experiment for the following problems, identify the independent variable(IV), dependent variable (DV), two to three constant factors and the possible control to be used in theexperiment. Write your answers in the worksheet. 1. Does the type of laundry detergent affect the cleanliness of clothes?Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ 2. Do bigger dogs have more puppies in a litter?Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ 3. Do homeworks improve students’ grade in Mathematics?Problem:…
Problem 5You’re a civil engineer testing the compressive strength of concrete to be used in bridgeconstruction. You test 16 concrete specimens, the resulting in the following compressivestrengths (in psi). DATA:2223 2329 2269 2244 2258 2325 2204 22962316 2272 2302 2342 2307 2205 2208 2311 a. Is the mean compressive strength greater than 2200 psi? Use the critical value approachand the appropriate table with 95% confidence.b. Is the mean compressive strength greater than 2200 psi? Use the p-value approach andExcel with 95% confidence.c. Is the standard deviation of compressive strength less than 50 psi? Use the critical valueapproach with 95% confidence.
Question Five: You are given the following data for output at a company and costs of production over the past 4 years Year 1 2 3 4 Output (‘000 units) x 20 16 15 24 Costs ($‘000) y 82 70 80 90 If Y=a+bX, b=nΣXY- ΣXΣY and a= Y- bX nΣX2 - (ΣX)2 Where X ,Y are the average values of X and Y and n is the number of pairs of data for X and Y. Required: i. Calculate an equation to determine the expected cost level for any given output volume. ii. Prepare a forecast for total costs if output is at 20,000 units
One of the more challenging problems confronting the water pollution control field is presentedby the tanning industry. Tannery wastes are chemically complex. They are characterized by highvalues of biochemical oxygen demand, volatile solids, and other pollution measures. A studyconducted by Virginia Polytechnic Institute and State University measured the percent reductionin total solids (x) and percent reduction in chemical oxygen demand (y) of 33 samples ofchemically treated waste.a. Compute the value of Sxx, Syy, Sxy, and r.b. Determine the regression line model/equation.c. Determine the coefficient of determination r 2 Explain the meaning of this quantity in the context ofthis problem.d. Using α = 0.01, test H0 : β1 = 0 vs. H1 : β1 6= 0e. Imagine that the next solid reduction level is at 54%. what would be your best estimate of the oxygendemand reduction?Note: Answer d and e only, manually

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