An article in Journal of Food Science (2001, Vol. 66, No. 3, pp. 472-477) studied potato spoilage based on different conditions of acidifiedoxine (AO), which is a mixture of chlorite and chlorine dioxide. The data are shown below:AO Solution (ppm) % Spoilage50100 50 601006030 302006050 29400253015(a) Do the AO solutions differ in the spoilage percentage? Use a = 0.05.There isfor significant differences in the spoilage percentage when using different AO solutions.evidence(b) Find the P-value of the test. Estimate the variability due to random error.P-value - i0.073(Round your answer to three decimal places.)MS - i327(Round your answer to the nearest integer.)(c) Plot average spoilage against AO solution and interpret the results. Which AO solution would you recommend for use in practice?400 ppm v AO solution will be used.(d) Analyze the residual plots to determine model adequacy.Does the assumption of normality seem reasonable?Does the assumption of constant variance seem reasonable?Yes.No. An article in Journal of Food Science (2001, Vol. 66. No. 3, pp. 472-477) studied potato spoilage based on different conditions of acidifiedoxine (AO), which is a mixture of chlorite and chlorine dioxide. The data are shown below:AO Solution (ppm) % Spoilage50100 50 601006030 302006050 294002530 15(a) Do the AO solutions differ in the spoilage percentage? Use a = 0.05.There isevidencefor significant differences in the spoilage percentage when using different AO solutions.(b) Find the P-value of the test. Estimate the variability due to random error.P-value - i0.073(Round your answer to three decimal places.)MSE -327(Round your answer to the nearest integer.)(c) Plot average spoilage against AO solution and interpret the results. Which AO solution would you recommend for use in practice?400 ppm v AO solution will be used.(d) Analyze the residual plots to determine model adequacy.Does the assumption of normality seem reasonable?Does the assumption of constant variance seem reasonable?No.Yes.Statistical Tables and Charts

Answered: Image /qna-images/answer/1cfc8fc4-e00c-4199-9b0d-a5c91ff1e677.jpg

Answered: An article in Journal of Food Science…

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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Sample data on weekly sales of two dairy products, X and Y were reported as follows: Lilongwe dairy, X 120 100 160 250 180 130 300 40 Long life, Y 70 86 67 100 45 80 90 95 a. Apply the CV, and find out which of the 2 products shows greater fluctuations in sales.
Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) A B C D E F Ọ Ho Bo=0 Ha: Bo #0 OHO: B₁ ≥ 0 H₂: B₁ <0 O Ho: B₁ * 0 H₂: B₁ = 0 180 ⒸH₁: B₁ = 0 H₂: B₁ 0 150 95 70 70 35 Score 76 69 59 56 40 (a) The estimated regression equation for this data is ý = 21.926421 + 0.320736x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. o Ho Boo Hà Bo=0 24 Find the value of the test statistic. (Round your answer to three decimal places.) 4.558263 Find the p-value. (Round your answer to four decimal places.) p-value = 0.010352 What is your conclusion? O Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is…
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.7 5.1 6.5 4.7 6.2 5.1 4.7 6.6 4.7 5.8 4.9 7.5 4.6 5.2 5.3 5.3 6.2 6.2 5.4 5.8 6.4 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 2 decimal places.)What are the degrees of freedom? (numerator) (denominator)
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 420 422 423 426 429 432 435 436 439 446 447 448 452 459 463 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There are no outliers. There is little or no skew. There is one outlien The data is strongly skewed. The data appears to be centered near 439. The data appears to be centered near 429. (b) Is it plausible that the given sample observations were selected from a normal distribution? O Yes ○ No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) Does the interval suggest that 445 is a plausible value for true average degree of polymerization? O Yes ○ No Does the interval suggest that 451 is a…
We want to test the relative efficacy of a new cholesterol lowering drug A versus existing drug B. We randomize nĄ subjects with high cholesterol to take treatment A and ng subjects to take treatment B. After a l-month followup, we measure cholesterol levels in both groups. Suppose the data in the two groups are independent and YA,Y;ª,..., YA N(µA, o²) and YB,YB,.., Y,B iid N(µB,0²), where o? = 9 is known. Let Y4 and YB be the sample average cholesterol level in group A and B. 1. What is the distribution of the difference in sample means: Â =Ÿª-ŸB? Hint: what is the distribution of each group's sample average? What do we know about linear combinations of normal RVs? 2. Let A = µA - µB be the true difference in cholesterol levels in populations treated with Â-A A versus B. What is the distribution of Z = ? Vo2/na+o²/ng 3. Suppose YA = 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significance level test of Ho : A = 0 versus Ha : A # 0. Do you reject or fail to reject the null at…
The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14) discusses an investigation of leaching rates of lead in solutions of magnesium chloride. The data in the following table (read from a graph) present the percentage of lead that has been extracted at various times (in minutes). Time (t) 4 8 16 30 60 120 Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4 a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit this model, and compute the standard deviations of the coefficients. b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the time at which the reaction rate will be equal to 0.05. c. The reaction rate at t = Oisequal to B1. Find a 95% confidence interval for the reaction rate at t = 0. d. Can you conclude that the reaction rate is decreasing with time? Explain.
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.9 5.8 6.9 4.8 6.5 5.6 4.6 6.4 4.9 5.7 4.3 7.7 4.8 5.8 5.6 5.4 6.3 6.3 5.8 5.5 6.6 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and…
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 421 422 423 426 429 431 434 436 439 445 446 448 453 455 463 464 (a) Construct a boxplot of the data. O 420 420 430 430 440 440 450 The data appears to be centered near 438. The data is strongly skewed. There is one outlier. 450 Comment on any interesting features. (Select all that apply.) There are no outliers. The data appears to be centered near 428. There is little or no skew. 460 420 420 430 430 (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No 440 440 450 450 460 460 (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)
7B A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #1: Total Brain Volume (in mm3) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983 1861991 1368378 1476891 1443775 1337827 1658258 1588132 1690182 1569413 1177002 1387893 1483763 1688950 1563593 1317885 1420249 1363859 1238979…
An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. Compressive Strength (psi) Observations Rodding Level 10 15 20 25 1530 1530 1440 1610 1650 1500 1560 1730 1530 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use a = 0.05. Calculate to 2 decimal places for Is there statistical evidence to say that rodding level affects compressive strength? (b) Find to 2 decimal places the P-value for the F-statistic computed in part (a). P-value= (c) Analyze the following residual plots to determine model adequacy, Does the assumption of normality seem reasonable? Does there appear to be an outlier in the data? Does the assumption…
A study measures the absorption rate of three different types of organic chemical solvents. These solvents are used to clean industrial fabricated-metal parts and are potentially hazardous. The organic chemical solvents are Aromatics, Chloroalkanes and Esters. Aromatics ChloroalkanEsters es 0.95 1.58 0.43 1.15 0.91 0.61 0.82 0.83 0.34 1.05 1.16 0.60 0.57 0.53 1.45 Test if there is a significance difference in the mean absorption rate for the three solvents? Use a = 0.05.
The article "The Selection of Yeast Strains for the Production of Premium Quality South African Brandy Base Products" (C. Steger and M. Lambrechts, Journal of Industrial Microbiology and Biotechnology, 2000:431-440) presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains. Following are the concentrations of total esters (in mg/L) in each of the wines. 284.34 173.01 229.55 312.95 215.34 188.72 144.39 172.79 139.38 197.81 303.28 256.02 658.38 105.14 295.24 170.41 Compute the mean concentration. a. b. Compute the median concentration. Compute the first quartile of the concentrations. C. d. Compute the third quartile of the concentrations. Construct a boxplot for the concentrations. What features does it reveal? e.

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