An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to thatof unmodified mortar resulted in x = 18.18 kgf/cm² for the modified mortar (m = 42) and y = 16.85 kgf/cm² for the unmodified mortar (n = 32). Let μ₁ and ₂ be the true averagetension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal.(a) Assuming that 0₁ = 1.6 and ₂ = 1.3, test Ho: M₁ M₂ = 0 versus Ha: M₁ M₂ > 0 at level 0.01.1Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z = 4.74XP-value =State the conclusion in the problem context.Ⓒ Reject Ho. The data suggests that the difference in average tension bond strengths exceeds 0.O Reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds 0.O Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0.O Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds 0.(b) Compute the probability of a type II error for the test of part (a) when μ₁ - M₂ = 1. (Round your answer to four decimal places.)(c) Suppose the investigator decided to use a level 0.05 test and wished ß = 0.10 when μ₁ −μ₂ = 1. If m = 42, what value of n is necessary? (Round your answer up to thenearest whole number.)n =

Let μ1 and μ2 be the true mean tension bond strengths for the modified and unmodified mortars.…

Answered: (a) Assuming that σ₁ = 1.6 and ₂ = 1.3,…

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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A scientist studying local lakes claims that there is a linear relationship between a lake’s level of mercury and the lake’s depth. The scientist collected data to test the claim at a significance level of α=0.01. The following hypotheses were tested. H0:β1=0Ha:β1≠0 The test yielded a t-value of 2.7 and a p-value of 0.012. Which of the following is a correct conclusion about the scientist’s claim? The null hypothesis is rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. A The null hypothesis is not rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. B The null hypothesis is rejected since 0.012>0.01. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth.…
BIUA- A - 3. Northem red oak (Quercus rubra) is a common tree species in many temperate deciduous forests in the US. Christian Wyatt and I measured diameter at breast height (DBH) and bark thickness of northern red oak trees in Swope Park in Missouri. We wanted to know if bark thickness is related to stem diameter. What is the null hypothesis? What is the alternative hypothesis? Answer the following questions using the output from R. Coefficients: Estimate Std. Error t value Pr(>|t|) 0.00647 3.008 (Intercept) DBH 1.25534 0.41727 0.42035 0.02992 14.050 1.82e-12 *** o. *** 0.05 ',' 0.1 ' '1 Signif. codes: O **** 0.001 *** Residual standard error: 0.9417 on 22 degrees of freedom I Multiple R-squared: F-statistic: 197.4 on 1 and 22 DF, 0.8997, Adjusted R-squared: p-value: 1.819e-12 0.8952 What is the equation for the best-fit linear relationship between stem diameter (DBH) and bark thickness? How much of the variation in bark thickness is explained by variation in stem diameter? What…
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The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8462 0.4148 2.06 0.84 Weight 0.40592 0.02978 13.52 0.000 S = 0.517508 R-Sq = 95.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
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The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8489 0.4148 2.06 0.84 Weight 0.39782 0.02978 13.52 0.000 S = 0.517508 R-Sq = 96.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
00000 ODOB X log cos sin 7) Given the following data, answer the questions below. X₁ 2 6 9 13 20 Yi 7 Brand Bose Skullcandy 18 9 26 23 The estimated regression equation for these data is ŷ = 7.6-0.9x d. Compute SSE, SST and SSR. e. Compute the coefficient of determination (r²). Comment on the goodness of fit. f. Compute the sample correlation coefficient. OR 8) The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.194 +0.318x where x = price ($) and overall score. Price ($) 180 150 ******** Score 76 71

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