A series of measurements of the angle of shearing resistance of a sand determined that the parameter had a mean value of 35º, a standard deviation of 3° and that its minimum and maximum values were 28° and 42° respectively. Fit the results to a symmetrical beta distribution.
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- The following scatterplot shows the mean annual carbon dioxide (CO,) in parts (CO2) per million (ppm) measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. f) View the accompanying scatterplot of the residuals vs. CO2. Does the scatterplot of the residuals vs. CO, show evidence of the violation of any assumptions behind the regression? 16.800 A. Yes, the outlier condition is violated. 16.725 O B. Yes, the linearity and equal variance assumptions are violated. 16.650 C. Yes, the equal variance assumption is violated. 16.575 O D. No, all assumptioris are okay. 16.500 O E. Yes, all the assumptions are violated. 325.0 337.5 350.0 362.5 CO2 (ppm) OF Yes, the linearity assumption is violated. his vear, What mean temperature doesA mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m?. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed vrith o = 63. Let u denote the true average compressive strength.A 100- m steel tape is used to measure the distance of the line and found to be 1. 539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31°C. The tape is of standard temperature of 20°C and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/C and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg a) Determine the total correction for temperature. b) Determine the total correction due to sag. c) What is the correct length of the line?
- In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0? Does the result in part (a) allow you to conclude that there is a strong correlation between eccentricity and smoothness? Explain.The table below shows the results from the specific gravity (S.G.) test performed in a soil laboratory including twenty samples of sand. Determine the Coefficient of Quartile Variation.Describe and compare the measurement of the central tendency and thedispersion of the electric usage before and after implementing the newelectric meter based on the histogram and box plots given.
- A company builds 3,000 PCs. The lifetimes of the PCs are approximately normally distributed with a mean of 500 weeks and a standard deviation of 100 weeks. Find the approximate number of PCs that can be expected to last the time given below 23) more than 300 weeks A) 2,931 23) B) 1,431 C) 69 D) 1500 Use the regression line to predict the value of y. 24) Nine pairs of data yield the regression equation y 19.4 0.93x. What is the best predicted value of 24) y for x = 43? A) 57.8 B) 59.4 () 79.6 D) 64.7A product is designed to have length of 14cm+/0.12cm. the output of the manufacturing process is identified to be centered at 14.0.042cm and the standard deviation is estimated at 0.014cm. determine the capability of the system CpAn 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 = 16.86 kgf/cm for the unmodified mortar (n = 30). Let µ1 and Hz 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 o1 = 1.6 and o2 = 1.3, test Ho: µ1 - 42 = 0 versus H3: µ1 – 42 > 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.) z = P-value = State the conclusion in the problem context. Fail to reject Ho: The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Reject Ho: The data does not suggest that the difference in average tension bond…
- A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.1. (Round your answers to two decimal places.)The molecular weight of a particular polymer should fall between 750 and 1,035. Thirty samples of this material were analyzed with the results X-bar = 902 and s = 90. Assume that molecular weight is normally distributed.A surface reinforced concrete strip foundation, unit weight 24 kN/m³, is 2 m wide, 0.5 m thick and will be subjected to a uniform normal pressure, p, of mean value 500 kN/m² and coefficient of variation, Vp, of 6%. The soil is cohesionless. Unit weight: mean = 18 kN/m³; V₁ = 5% Angle of friction: mean = 40°; V₂ = 2.5% Determine the reliability index against bearing capacity failure.