Psi is a measure of compressive strength, or the ability of the material to carry loads and handle compression. Thedesired concrete psi rating used for sidewalks and residential driveways ranges from 2500psi to 3000psi obtainedfrom mixing cement, stone, and sand in different ratios but with the same amount of water. The summary of thepsi's of three (3) such concrete mixes made by three (3) different civil engineering students is given as follows:Mean vector:The variance-covariance matrix:Concrete mix MeanConcrete mix 1 Concrete mix 2 Concrete mix 3Concrete mix 1| Concrete mix 22700181223000121632400Concrete mix 31625Let the random variable Y be the vector of the psi's of concrete mixes obtained by the students, i.e. Y1, denotes thepsi of concrete mix made by student 1, Y2 is the psi of concrete mix made by student 2 and Y3 is the psi of concretemix psi made by student 3.(a) Find(i) the multivariate probability distribution function (pdf) of Y.(ii) the distribution of the sum of the three psi of the three (3) concrete mixes.(iii) the joint pdf of concrete mix 1 psi and concrete mix 2 psi.(iv) the covariance of X1 and X2 where X1 is the the sum of the three psi of the three (3) concrete mixes,and Xz is the difference between “the sum of the psi's of the first two concrete mixes" and “ the psi ofconcrete mix 3", i.e. X2 = Y1 + Y2 – Y3.(v) the correlation of X1 and X2 given in (iv).(b) Identify the distribution of (a)(iii).

The given problem deals with the psi measurements of concrete mixes made by three civil engineering…

Answered: desired concrete psi rating used for…

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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The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 31 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? Click the icon to view the Minitab display. Minitab output The linear correlation coefficient is The regression equation is (Round to three decimal places as needed.) = 50.5 - 0.00594 Weight Predictor Coef SE Coef P Constant 50.544 2.978 17.85 0.000 Weight - 0.0059351 0.0007513 - 7.28 0.000 S= 2.10089 R-Sq = 63.2% R- Sq(adj) =…
6) The coefficient of determination of a set of data points is 0.895, and the slope of the regression line fit to the data is -6.32. Determine the linear correlation coefficient of the data set.
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.8 9.8 9.3 8.7 8.3 Weight 113 211 246 198 201 190 The linear correlation coefficient is r=enter your response here. (Round to three decimal places as needed.) The critical values are r=enter your response here. (Round to three decimal places as needed. Use a comma to separate answers as needed.)
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.3952 Glass 0.3952 1 Identify the test statistic, r. r=enter your response here (Round to three decimal places as needed.)
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper Correlation matrix: and glass? Use a significance level of a = 0.05. Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. |Раper 0.1666 Glass 0.1666 Determine the null and alternative hypotheses. Ho: p H1: p v (Type integers or decimals. Do not round.) Identify the test statistic, r. r=(Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= O B. There are two critical values at r= ± State the conclusion. Because the absolute value of the test statistic is the positive critical value, there V sufficient evidence to support the claim that there…
Claim: The mean systolic blood pressure of all healthy adults is less than 122 mm Hg. Sample data: For 269 healthy adults, the mean systolic blood pressure level is 121.74 mm Hg and the standard deviation is 15.02 mm Hg. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult.
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alphaαequals=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports 231 264 357 481 352 Crash Fatality Rate 15.9 15.7 15.5 15.3 14.9 The linear correlation coefficient r is Next calculate the test statistic t The P-value is
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.3098 Glass 0.3098 1 Determine the null and alternative hypotheses. H0: ρ ▼ greater than> less than< equals= not equals≠ nothing H1: ρ ▼ less than< equals= greater than> not equals≠ nothing (Type integers or decimals. Do not round.) Identify the test statistic, r. r=nothing (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.)…
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a= 0.05. Correlation matrix: Variables Paper Glass 10.3553 Paper Glass 0.3553 Click here to view a table of critical values for the correlation coefficient. Determine the null and alternative hypotheses. Ho:p = H:p ± (Type integers or decimals. Do not round.) Identify the test statistic, r. r= 0.355 (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r = O B. There are two critical values at r= ±
1.
The director of surgery at a local hospital is interested in underständing his unit's costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with the number of procedures performed in the unit The assistant analyzed the data using a spreadsheet program, and the following output was generated Equat ion Intercept Coefficient on procedures Statistical data Correlation coefficient 1,010, ००4० 250 0.538 The unit is planning to perform an average 12,000 procedures per month for the coming year. Required: a. Use the regression output to write the surgical unit cost equation b. Based on the cost equation, compute the estimated costs for the surgical unit per month for the coming year. c. The director of surgery has asked you for advice on whether he should rely on the estimate. Complete this question by entering your answers in the tabs below. Required A Required B Required C Use the regression output to write the surgical unit cost equation.…
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Correlation matrix: Variables Paper Glass Раper 10.0979 Click here to view a table of critical values for the correlation coefficlent, Glass 0.0979 1 Determine the null and alternative hypotheses. Ho p H p (Type integers or decimals. Do not round.) Identify the test statistic, r. =| |(Round to three decimal places as needed.)

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