The shear strength of each of ten test spot welds is determined, yielding the following data (psi): 367 389 375 377 384 388 409 362 358 415 Suppose we decide to examine another test spot weld. Let X = shear strength of the weld. Use the given data to obtain the mle of P(X ≤ 400). [Hint: P(X ≤ 400) = ((400 -μ)/o).] (Round your answer to four decimal places.)
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- A 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.In last week's assignment, you calculated mean free path, total absorption, and reverberation time for a room that is 4 m long, 7 m wide, and has a ceiling height of 3 m. The floor is hardwood, = .15 at 500 Hz. The walls are gypsum wallboard (GWB), = .30 at 500 Hz. The ceiling is acoustic ceiling tile (ACT), = .95 at 500 Hz. 3) f a person speaking produces a sound power level of 70 dB, how much sound pressure level would you expect at a distance of 3 m?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.
- Compote cleriuative . ban flx)= cot(x), = 0.8 8(0.8)3= booX %3D x =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?The following data represent the results obtained from the specific gravity (S.G.) test performed in a soil laboratory including for sand * ?samples. Find the mode
- la). The null hypothesis is that the difference in the grams of sugar between ultra-processed and processed food μ = 0 (Ho: μ = 0). Write an example alternative hypothesis for the mean (µ) difference between ultra-processed foods (up) and processed foods (μ). 1b). Next, generate 1,000 samples. Let's say that you asked students in our class to calculate the difference in the amount of sugar between their ultra-processed food and processed food at home, which had a mean (u) sugar difference of 14.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1c). Let's say that your sample difference in the amount of sugar between ultra-processed food and processed food at home was 4.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1d). What is a 92% confidence interval for the data? Please write it using the full confidence interval interpretation language (e.g., I am 92% confident that...). le). What percent of the data lie to the left of -14.25 grams of…Find the average temperature over the given interval3). Find the average value of the function on the given interval.
- 2. Three tensile tests were carried out on an aluminum bar. In each test, the strain was measured at the same values of stress. The results were Stress (MPa) 34.5 69.0 103.5 138.0 Strain (Test 1) 0.46 0.95 1.48 1.93 Strain (Test 2) 0.34 1.02 1.51 2.09 Strain (Test 3) 0.73 1.10 1.62 2.12 Where the units of strain are mm/m. Use linear regression to estimate the modulus of elasticity of the bar (modulus of elasticity = stress/strain). %3DThe 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 doesthe follwing data represent the operating time in hours for 2 types of pocket calcualtors before a recaharge is required test 0.01 level of significance if the operating times for both calcualtors are equal. FInd the following: Tabular Value: Computed Value: Conclusion: