Question 3: No-fines concrete, made from a uniformly graded coarse aggregate and a cement-water paste, is beneficialin areas prone to excessive rainfall because of its excellent drainage properties. Consider the following representative data,where x = unit weight (pcf) in concrete specimens, and y = = porosity (%):(a)(b)(c)(d)Xy99.1 102.1 102.7 103.0 105.6 108.2 108.728.8 27.7 27.9 25.3 22.8 20.2 21.6Obtain the equation of the estimated regression line.Interpret the slope of the least squares line.Calculate and interpret a point estimate of o.What proportion of observed variation in porosity can be attributed to the approximate linear relationshipbetween unit weight and porosity?

Introduction: The unit weight (pcf), x in concrete specimens is the predictor variable being used to…

Answered: Question 3: No-fines concrete, made…

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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(c) Assume that the resist ance of a cert ain type of resistors is normally distributed with a mean of 250 ohms and a st and ard deviat ion of 15 ohms. What percent age of the resistors of this type will have a resistance above 270 ohms?
a.In an aquaculture study the following variables were measured on each fish: sex. Initial weight (g), bodytemperature (C), weight gain (g). For each variable indicate the scale of measurement. (b) A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000gallons). What is the application rate in ml/1000litrtrs if there are 28.375 ml/oz and 4.5liters/gallon? (c) The term test scores of 15 students enrolled in a Business statistics class were recorded inascending order as follows 4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20. After calculatingthe mean, median and the mode an error is discovered: one of the 15’s is really a 17. Of the threemeasures of central tendency which will change? (d) A student discovers that his grade on a recent test was the 72 nd percentile. If 90 students wrotethe test, then approximately how many students received a higher grade than he did?
Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be adifference? Find the coefficient of variation for each of the two samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS (Type an integer or decimal rounded to one decimal place as needed.) B. The coefficient of variation for the female pulse rates is (Type an integer or decimal rounded to one decimal place as needed.)
A study of the amount of rainfall and the quantity of air pollution removed produced the following data shown in table below: Daily Rainfall x (0.01 cm) Particulate Removed y (μg/m3) 7 126 7.9 129.3 7.5 125.3 9.2 120.2 10.8 116.7 5.8 119.2 5.6 138.7 2.7 147.5 9.2 110.3 Compute and interpret the coefficient of determination, and coefficient of correlation for the given data. What will be the regression equation, when swapped depended and independent variable
1.56 Longleaf pine trees. The Wade Tract in Thomas County, Georgia, is an old-growth forest of longleaf pine trees (Pinus palustris) that has survived in a relatively undisturbed state since before the settlement of the area by Europeans. A study collected data on 584 of these trees. One of the variables measured was the diameter at breast height (DBH). This is the diameter of the tree at 4.5 feet, and the units are centimeters (cm). Only trees with DBH greater than 1.5 cm were sampled. Here are the diameters of a random sample of 40 of these trees: PINES 27 10.5 13.3 26.0 18.3 52.2 9.2 26.1 17.6 40.5 31.8 47.2 11.4 2.7 69.3 44.4 16.9 35.7 5.4 44.2 2.2 4.3 7.8 38.1 2.2 11.4 51.5 4.9 39.7 32.6 51.8 43.6 2.3 44.6 31.5 40.3 22.3 43.3 37.5 29.1 27.9 (a) Find the five-number summary for these data. (b) Make a boxplot. (c) Make a histogram. (d) Write a short summary of the major features of this distribution. Do you prefer the boxplot or the histogram for these data?
A local bakery makes wheat bread. The number of grains of wheat in the bread is normally distributed, with mean 11.4 g and standard deviaton 1.3 g. What percent of the loaves of bread had between 8.8 and 14 g of wheat grains?
Which EWMA chart below will yield ARL performance most close to that of cusum chart with k=1/2 and h=5? a. L=2.814, lamda=0.10 b. L=2.615, lamda=0.05 c. L=2.998, lamda=0.25 d. L=3.054, lamda=0.40 e. L=2.962, lamda=0.20
Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
Coke is a solid fuel made by heating coal in the absence of air so that the volatile components are driven off. For screened coke, the porosity factor is measured by the difference in weight between dry and soaked coke. A certain supply of screened coke from a supplier is claimed to have a porosity factor of 1.8 kilograms. Ten samples of the screened coke obtained from this supplier are tested for porosity factors and the results are as follows : 1.7 , 1.9 , 1.8 , 1.9 , 2.1 , 2.1 , 2.0 , 1.8 , 1.7 , 2.0 . Is there sufficient evidence to indicate that the actual coke from the supplier is more porous than what is claimed? Use Assume that the porosity factor is a normally distributed variable. Use the following format in your presentation. Show the values of the mean and the standard deviation which you calculate using the formulas or directly through your calculator stat or through Excel. Ho : HA : Test Statistic Critical Value : Test Statistic Calculated Value : (show the…
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures, in degrees Celsius, and mean coral growth, in centimeters per year, over a several‑year period at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (b) Find the correlation ?r step by step. Round off to two decimals places in each step. First, find the mean and standard deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for ?r . Round your answer to three decimal places.
In evaluating a forge crop, it is important to measure the concentration of various constituents in the plant tissue. In a study of reliability of such measurements, a batch of alfalfa was dried, ground, and passed through a fine screen. Five small (0.3 gm) aliquots of alfalfa were then analyzed for their content of insoluble ash. The results (gm/kg) were as follows: 10.0 8.9 9.1 11.7 7.9 For these data, calculate the mean, the standard deviation, and the standard error of mean.
The data below are the shoot lengths (cm.) of Robusta coffee seedlings as affected by different periods of storage. Find out if there are significant differences in the effects of different periods of storage on the shoot lengths. (Note: CRD experiment) Solve for the; a. F computed b. Coefficient of Variation (CV), C. Standard error of the treatment means (S), d. standard error of difference between treatments (Sd) e. Make a Decision Treatments Replications 11 11 P1 10.1 9.2 9.5 P2 9.5 9.3 8.5 P3 8.7 9.2 7.5 P4 6.7 6.2 5.0

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