Determine the ; *Hypothesis *Calculation*Conclusion 2. The tensile strength of Portland cement is being studied.Four different mixing techniques can be used economically.A completely randomized experiment was conducted andthe following data were collected::MixingTechnique1234Tensile Strength (lb/in²)3129 3000 28653200330029752800290026002700298526002890315030502765Test the hypothesis that mixing techniques affect thestrength of the cement. Use a = 0.05. In case of significantdifference on the means, use the Tukey's HSD method witha = 0.05 to make comparisons between pairs of means.The Portland cement is hydrophilic cement; as a result,the powder-to-liquid ratio affects the properties of thefinal mix. In addition, the mixing technique affectshydration.

Given Information: Consider the given data: Tensile strength 1 Tensile strength 2 Tensile…

Answered: The tensile strength of Portland cement…

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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Vermont maple sugar producers sponsored a testing program to determine the benefit of a potential new fertilizer regimen. A random sample of 27 maple trees in Vermont were chosen and treated with one of three levels of fertilizer suggested by the chemical producer. In this experimental setup, nine trees (three in each of three climatic zones) were treated with each fertilizer level and the amount of sap produced (in mL) by the trees in the subsequent season was measured. The results are presented in the following table. Southern Zone Central Zone Northern Zone 76.2 80.4 74.2 79.4 87.9 86.9 84.5 85.2 80.1 Low fertilizer Medium 87.0 95.1 93.0 98.2 94.7 96.2 88.4 90.4 922 fertilizer High 84.2 87.5 83.1 90.3 89.9 93.2 81.4 84.7 82.2 fertilizer Estimate the main effects of fertilizer levels and climatic zone, and their interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Test the hypothesis that there is no interaction between fertilizer levels and climatic zone.…
A traffic office in a country was in charge of a study where the safety of passengers in different types of cars was examined. Three models were examined; small cars, minivans and SUVS and six cars in each category were inspected. A special traffic accident simulator was used in the study and the pressure on the drivers' heads was measured. Umferðarastofa wanted to investigate whether there was a difference in the average pressure on the head during a collision in these three types of cars and used a variance analysis for this purpose. Failed to complete the square sum table, which can be seen below. weekend sum degree of freedom ave week sums between groups (area) 725.4 within groups (area) 178.6 XXX total Questions 1-3 deal with this study by the Traffic Authority. Question 1 What value should be given where xxx is in the table? 1 1.91 2. 2679 3. 3036.2 4. The information provided cannot be answered. Question 2 to be used to check if there is a difference in the average- What is the…
Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?
How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Students doing a laboratory exercise sample 20 pieces of wood and find an average load capacity of 30,841 pounds. We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume the characteristics of materials vary normally. Suppose that the strength of pieces of wood like these follow a normal distribution with a population standard deviation of 3,000 pounds (As you can see all three necessary assumptions are met). a. Assuming that all evergreen wood has a known "load" capacity average of 30,000 pounds. Make a two-sided hypothesis (null and alternative statement) about Douglas Fir "load" capacity compared to the overall average. b. Apply the formula for finding our test statistic (show your work or describe the process) Specifically, use the formula for the z-statistic (pasted below and on…
How Big Are Gribbles? Gribbles are small,pale white, marine worms that bore through wood.While sometimes considered a pest since they canwreck wooden docks and piers, they are now beingstudied to determine whether the enzyme theysecrete will allow us to turn inedible wood andplant waste into biofuel.24 A sample of 50 gribblesfinds an average length of 3.1 mm with a standarddeviation of 0.72. Give a best estimate for the mean length of gribbles, a margin of error for this esti-mate (with 95% confidence), and a 95% confidenceinterval. Interpret the confidence interval in context. What do we have to assume about the samplein order to have confidence in our estimate? 1. Find the upper and lower bound for this confidence interval.
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An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At a = 0.02, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 388 390 413 412 446 365 431 Conventional 355 366 384 422 447 402 430 360 414 390 What are Ho and H? The null hypothesis, Ho, is . The alternative hypothesis, Ha, is Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (b) Find the standardized test statistic. t 3D (Type an integer or decimal rounded to the nearest thousandth as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (d) Interpret the decision in the context of the original claim.…
Shear strength measurements derived from unconfined compression tests for two types of sols gave the results shown in the following table (measurements in tons per square foot). Do the soils appear to differ with respect to the variation of the shear strength, at the 10% significance level? Soil Soil Type Турe l II sample size 10 sample 1.57 1.92 mean sample std dev 0.17 0.22 Let the strength measurement of soil type I be the first population and the strength measurement of soil type II be the second. a. Choose the answer : 1) Alternative Hypothesis: The population variation of the shear strength for soil type l is > that of soil type I. 2) Alternative Hypothesis: The population variation of the shear strength for soil type I is < that of soil type II. 3) Alternative Hypothesis: The sample variation of the shear strength for soil type l is not equal to that of soil type II. 4) Alternative Hypothesis: The population variation of the shear strength for soil type l is not equal to that of…

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