Assignment 9 (1)

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.

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). %3D

The answer is not 0.0154. Need help with Part D only. Thank you

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.

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/m². 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 with = 67. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? ⒸHO: μ> 1,300 Ha: M= 1,300 O Ho: M1,300 Ha: M= 1,300 Ho: M1,300 H₂M 1,300 O Ho: M1,300 Hai 11,300 OHM 1,300 HM 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when H is true? O The test statistic has a gamma distribution. O The test statistic has a normal distribution. O The test statistic has an exponential distribution. O The test…

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The table below shows the 1 results from the specific gravity (S.G.) test performed in a soil laboratory including twenty samples of sand. Determine the Coefficient of Quartile Variation. * Specific Gravity 2.30-2.39 Number of Samples 1 2.40-2.49 2 2.50-2.59 3 2.60-2.69 2.70-2.79 7 2.80-2.89

The stem-leaf diagram below shows compressive strength of concrete cubes measured in (Kpa). Determine   * .the median

One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40 bottles and measures the volume of liquid in each bottle. We want to test Hg: μ = 180 Ha: 180 where μ = the true mean volume of liquid dispensed by the machine. The mean amount of liquid in the bottles is 179.6 ml and the standard deviation is 1.3 ml. A significance test yields a P-value of 0.0589. Interpret the P-value. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean of 179.6 just by chance in a random sample of 40 bottles filled by the machine. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean at least as far from 180 as 179.6 (in either direction) just by chance in a…

The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days is greater than the mean strength after six days? Let μ1 represent the mean strength after three days and μd = μ1 - μ2. Use the a = 0.01 level and the P-value method with the table.   Block   1 2 3 4 5 After 3 days 1389 1380 1302 1377 1336 After 6 days 1314 1321 1318 1386 1356 Part (a) State the appropriate null and alternate hypotheses. H0:   H1: This is a ___ test. Part (b); _ < P-value <= _ Part (c);There __ enough evidence to conclude that the mean strength after three days differs from the mean strength after six days.(is/is not)

The annual rainfall in a certain region is modeled using the normal distribution shown below.

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

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/m2. 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 with o = 69. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: u = 1,300 Ο H,: μ= 1,300 H: u 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true? O The test statistic has a binomial distribution. O The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. If X = 1,340, find the…

The average weight of a Coastal male Grizzly Bear is approximately normal with E(x); =795 pounds and SD * (x) = 80 pounds. 8. How likely is it to randomly select 64 Coastal male Grizzly Bears with a sample average weight of 810 pounds or more? Which density curve is the best model for this problem?

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15. Find the area under the standard normal curve between z= 0 and z = -1.55 A. 0.4394 B. 0.4332 C. -0.4332 D. 0.3531 16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean equal to 70 mph and standard deviation equal to 8 mph. What is the z- score for a speed of 64 mph? A. -0.75 В. 0.75 С. -6 D. 6 17. Terence scores in Mathematics this semester was rather inconsistent. His scores are as follows: 55,100,95,85,75,100. How many scores are within one standard deviation of the mean? А. 5 В. 95 C. 80 D. 100 18. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with a mean of 15 minutes and a standard deviation of 4 minutes. If the students who get the fastest 5% completion times will be exempted from the additional gym work out sessions, what is the slowest time for a student to qualify for the exemption A. 8.40 minutes B. 8.42 minutes C. 8.44 minutes D. 8.46 minutes

A certain brand produces milk with boxes in a weight of 95 gr. The average weight of 12 samples equals 96.51 gr.Assume that the distribution of the weight of the product is 1.24. Conduct a test about the standart weight of the milk boxes. Does the product still weight 95gr or higher? Write down the z value which you should use for comparison.(Use at least 2 digits after decimal,sensitivity ;0.00)

Weights of a certain product follow Normal Distribution with unknownparameters. Based on the past experience, we knew that 7.5% of all theproducts weigh less than 11.188 gr and 6% of all products weigh more than18.0765 gr. Subject to the experience, calculate parameter values of thedistribution.

Accumulation of mercury (Hg) in fish is hypothesized to correlate with the fish size. Barbonymus schwanenfeldii is a species commonly found in a dam in Sarawak. Table 1 shows data of Hg concentration (mg/kg) present in three sizes of fish caught in the dam in triplicates. (i, ii, iii was already answered.)

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose that the specifications state that the mean strength of welds should exceed 100 lb/in2 . The inspection team decides to test H0 : μ = 100 versus Ha : μ > 100. Explain why this alternative hypothesis was chosen rather than μ < 100.

The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3

The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 34.1 cm and the standard deviation is 3.4 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 25 30 35 40 45 ( cm)

Please answer 1,2 and 3 subunits thank you!

Newly purchased tires of a particular type are supposed to be filled to apressure of 30 psi. Let u denote the true average pressure. A test is to becarried out to decide whether u differs from the target value. Determinethe P-value for each of the following z test statistic values. a. 2.10b. -1.75c. -.55d. 1.41e. -5.3

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Accumulation of mercury (Hg) in fish is hypothesized to correlate with the fish size. Barbonymus schwanenfeldii is a species commonly found in a dam in Sarawak. Table 1 shows data of Hg concentration (mg/kg) present in three sizes of fish caught in the dam in triplicates.