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

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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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Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 6 adults. The following table presents the results. Systolic Diastolic 130 116 133 112 134 107 Part: 0 / 4 76 Part 1 of 4 70 91 Critical value(s): 75 Send data to Excel 87 The least-squares regression line y = b + b₁ x= 4.4261 +0.6058x and (x-x)² = 690.0000 are known for this data. Use the critical value method to test Ho: B₁ = 0 versus H₁ : ₁ > 0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the a= 0.05 level of significance. 71 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. X +0 S
Cholesterol: An article in the Archives of Internal Medicine reported that in a sample of 245 men, 70 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 170 women, 62 had elevated cholesterol levels. Can you conclude that the proportion of men with elevated cholesterol levels is less than the proportion of women with elevated cholesterol levels? Let p₁ denote the proportion of men with elevated cholesterol levels and p₂ denote the proportion of women with elevated cholesterol levels. Use the a= 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0/4 Part 1 of 4 State the null and alternate hypotheses. 0=0 Ho: P₂ H₁: This hypothesis test is a (Choose one) ▼ test. X □<口 P₁ 5
Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: Botox Placebo Total Reduced Confidence Interval: 72 52 124 Not Reduced 28 We are 95% confident that there is hyperhidrosis who experienced a reduction in sweating. 148 176 Total 100 200 - Construct a 95% confidence interval for p₁ - P2 where p₁ denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and p2 denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places, and use four decimal places…
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions Region I: x1; n1 = 15 855 1550 1230 875 1080 2330 1850 1860 2340 1080 910 1130 1450 1260 1010 Region II: x2; n2 = 14 540 810 790 1230 1770 960 1650 860 890 640 1180 1160 1050 1020 (a) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to one decimal place.) x1 = ppm s1 = ppm x2 = ppm s2 = ppm…
An article in Journal of Food Science (2001, Vol.66, No. 3, pp. 472-477) studied potato spoilage based on different conditions of acidified oxine (AO). which is a mixture of chlorite and chlorine diaxide. The data are shown below: AO Solution (ppm) % Spoilage 100 50 60 50 100 60 30 30 200 60 50 29 400 25 30 15 (a) Do the AO solutions differ in the spoilage percentage? Use a = 0.05. There is for 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 = - (Round your answer to three decimal places.) MSE =1 - (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? 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…
I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month). The variables in the dataset are: Quantity sold in the city for that month: Measured in thousands of units Price: measured in dollars Average Income in the city: Measured in thousands of dollars Ads: Average number of ads run in stores for that city during that month. Price of a substitute product: measured in dollars Population of the city: measured in thousands of people The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions: 1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics. Graphs are welcome as well. 2. Take the logs of the variables, and estimate the demand function. a. Interpret the R-square. b. Interpret the coefficients for logP and logPsub c. Interpret the p-values associated with each independent…
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 following table shows the typical depth (rounded to the nearest foot) for nonfailed wells in geological formations in Baltimore County (The Journal of Data Science, 2009, Vol. 7, pp. 111-127). Geological Formation Group Number of Nonfailed Wells Nonfailed Well Depth Gneiss 1,515 255 Granite 26 218 Loch Raven Schist 3,290 317 Mafic 349 231 Marble 280 267 Prettyboy Schist 1,343 255 Other schists 887 267 Serpentine 36 217 Total 7,726 2,027 Let the random variable X denote the depth (rounded to the nearest foot) for nonfailed wells. Detemine the cumulative distribution function for X. Round your answers to four decimal places (e.g. 98.7654). x < 217 217
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.
Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy)” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Lemon Imports 230 265 358 480 530 Crash Fatality Rate 15.9 15.7 15.4 15.3 14.9 Question ---- > Find the critical values of r using α = 0.05 and write Ho and H1 Group of answer choices r = ± 0.878 Ho : ρ = 0 H1: ρ < 0 r = ± 0.811 Ho : ρ = 0 H1: ρ > 0 r = ± 0.878 Ho : ρ = 0 H1: ρ ≠ 0 r = 0.878 Ho : ρ > 0 H1: ρ ≠ 0
The table shows data from a science fair experiment that studied the average growth rate of 20 samples of fungus at 70 degrees Fahrenheit and 20 samples of fungus at 80 degrees Fahrenheit. Growth Rate/Tempature 70 degrees 80 degrees above average growth rate 3 8 average growth rate 12 11 below average growth rate 5 1 1. What percentage of the samples had an above average growth rate? 2. What percentage of the samples at 70 degrees had an above average growth rate? 3. What percentage of the samples were at 80 degrees? 4. What percentage of the samples that had an average growth rate were at 80 degrees?
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…

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