An experiment to compare thetension bond strength of polymerlatex modified mortar (Portlandcement mortar to which polymerlatex emulsions have been addedduring mixing) to that of unmodifiedmortar resulted in x = 18.17 kgf/cm²for the modified mortar (m = 42) andy = 16.82 kgf/cm² for the unmodifiedmortar (n = 31). Let μ₁ and ₂ be thetrue average tension bond strengthsfor the modified and unmodifiedmortars, respectively. Assume thatthe bond strength distributions areboth normal.(a) Assuming that 0₁ = 1.6 and 0₂ =1.3, test Ho: M₁ M₂ = 0 versus Ha: M₁- H₂> 0 at level 0.01.Calculate the test statistic anddetermine the P-value. (Round yourtest statistic to two decimal placesand your P-value to four decimalplaces.)ZP-value=(b) Compute the probability of a typeIl error for the test of part (a) when µ₁- H₂ = 1. (Round your answer to fourdecimal places.)(c) Suppose the investigator decidedto use a level 0.05 test and wished B= 0.10 when M₁ M₂ = 1. If m = 42,what value of n is necessary? (Roundyour answer up to the nearest wholenumber.)n =

Answered: An experiment to compare the tension…

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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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 that of 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 average tension 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. 1 Calculate 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 = 4.74 X P-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…
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: МОЕ 29.9 33.3 33.6 35.4 35.6 36.0 36.3 36.4 37.6 37.6 Strength 6.0 7.1 7.4 6.2 8.2 6.9 6.9 7.7 6.7 6.6 МОЕ 38.8 38.9 39.7 40.9 42.7 42.7 43.4 45.5 46.1 47.0 Strength 6.9 6.4 7.8 9.1 8.3 8.8 7.7 9.8 7.3 7.6 МОЕ 48.1 49.2 51.8 62.5 69.9 79.6 80.1 Strength 9.8 7.7 7.6 11.5 11.2 11.7 10.8 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ŷ = 7.595, s; = 0.186 when x = 40 and ŷ = 9.706, = 0.263 %3D for x = 60. The simple linear regression model also resulted in a value of s = 0.9008. (a) Explain why s; is larger when x = 60 than when x = 40. The farther x is from…
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 191 cm and weights of 37 to 150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.79cm, y=81.51kg, r=0.293, P-value=0.003, and y=−106+1.17x. Find the best-predicted value of y (weight) given an adult male who is 147cm tall. Use a 0.10 significance level.
Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.
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 that of unmodified mortar resulted in x = 18.19 kgf/cm? for the modified mortar (m = 42) and y = 16.85 kgf/cm? for the unmodified mortar (n = 30). Let u, and u, be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. Assuming that o, = 1.6 and o, = 1.3, test Hn: 4, - H, = 0 versus H: u, - u, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = Compute the probability of a type II error for the test of part (a) when 4 - Hz = 1. (Round your answer to four decimal places.) Suppose the investigator decided to use a level 0.05 test and vwished B = 0.10 when u, - uz = 1. If m = 42, what value of n…
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to190 cm and weights of 39to150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x̄ =167.89 cm, ȳ = 81.55kg, r=0.414, P- value=0.000, and ŷ =−103+1.04x. Find the best predicted value of ŷ (weight) given an adult male who is184 cm tall. Use a 0.05 significance level. The best predicted value of ŷ for an adult male who is 184 cm tall is ___kg.
Reliability testing has indicated that a voltage inverter has a 6 month reliability of 0.87 without repair facility. If repair facility is made available with an MTTR of 2.2 months, compute the availability over the 6-month period. (Assume con- stant failure and repair rạtes)
The thickness of a flange on an aircraft component is uniformly distributed between 0.2050 and 0.2150 micrometers. Determine the following: Proportion of flanges that exceeds 0.2125 micrometers in flange thickness Mean and variance of flange thickness O a. P(X 0.2125) = 0.25, E(X) = 0.2100, V(X) = 8.33 x 106 Oc NONE Od. P(X > 0.2125) = 0.75, E(X) = 0.2100, V(X) = 8.33 x 10-6
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.40 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largeσ is knownσ is unknownthe distribution of weights is uniformthe distribution of weights is normal (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood plasma…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.00 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) a) σ is known b)the distribution of weights is uniform c)n is large d)the distribution of weights is normalσ is unknown (c) Interpret your results in the context of this problem. a)99% of the intervals…
7.
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). (units: mm Hg/10) (units: mm Hg/10) 6.5 5.4 4.2 3.3 2.1 y 43.6 32.3 26.2 16.2 13.9 Ex = 21.5, Ey = 132.2, Ex² = 104.35, Ey2 = 4086.34, Exy = 650.51, and r= 0.978. %3D Ex 21.5 Ey 132.2 Ex2 104.35 Ey2|4086.34 Exy 650.51 r 0.978 Use a 1% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Verify that S. - 2.9006, a = -3.208, and b = 6.895. e Se a b Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x…

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