Differentials question: Show that an error of 2% in the measurement of the side of a...
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Differentials question: Show that an error of 2% in the measurement
of the side of a...
Consider a square. The length of each side of the square is 3cm with an error...
Consider a square. The length of each side of the square is 3cm with an error of 0.01cm. The estimated area of the square is 9cm2. What is the maximum error on this estimate?
If your measurement of some quantity is uncertain and this measurement enters into some formula then...
If your measurement of some quantity is uncertain and this measurement enters into some formula then the results of that formula will also be in uncertain. This effect is often called the propagation of error and is illustrated by the following question. 8. Suppose you measure a square piece of carpet to have an edge of length 10.5 in. Assume that your measurement has a 5% uncertainty. Thsn, for all you know the edge could be as long as 11...
Error Propagation What is error propagation? A question in error propagation is that when we take...
Error Propagation What is error propagation? A question in error propagation is that when we take a product of measurements we do what with the uncertainties? Should our uncertainties get bigger or smaller as they propagate through the formulas? Take a square and measure one side. What happens to the uncertainties when you calculate Area? Can this be beneficial when our product contains measurements of different units? The rule is to find the relative uncertainty in a product of measurements...
2. The measurements of the base and altitude of a triangle are found to be 36...
2. The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle (b) Approximate the percent error in computing the area of the triangle.
Consider the error bars (2 δ) associated with the class results. Is the measurement consistent with...
Consider the error bars (2 δ) associated with the class results. Is the measurement consistent with the true molecular weight? Justify your answer by providing numerical or graphical support. True molecular weight: 250 g/mol error bars (2δ): 64.1 percent error: 6.14%
Question 4: What are the accepted pressure drop measurement techniques across utility side of the heat...
Question 4: What are the accepted pressure drop measurement techniques across utility side of the heat exchanger? Question 5: How do I determine the steam requirement and condensate outlet temperature for a heat exchanger?
just need help with the second question "a scientific experiment the measurement error made by an...
just need help with the second question
"a scientific experiment the measurement error made by an instrument is a random variable X with probability density function a) Find the value of c. Leave your answer as a fraction. otherwise. b) Suppose Y = x2. Find the density function of Y. Sx(x) = { ex it-4sxs. Nico is giving a one hour talk on his research at a big university. The number of questions he is asked by audience members in...
Solve using the Neyman-Pearson Theorem 63. The error X in a measurement has a normal distri-...
Solve using the Neyman-Pearson Theorem
63. The error X in a measurement has a normal distri- bution with mean value 0 and variance o2. Con- sider testing Ho: a = 2 versus H: = 3 based on a random sample X1, . . . , X, of errors a. Show that a most powerful test rejects Ho when Σ>. b. For n 10, find the value of c for the test in (a) that results in a = .05
CHE 120 Activity 2. Measurement Evaluations: Accuracy & Precision Associated Resources: Accuracy & Precision Handout Exercice...
CHE 120 Activity 2. Measurement Evaluations: Accuracy & Precision Associated Resources: Accuracy & Precision Handout Exercice #1: Two students weigh a powdered metal, 1: Wo students weigh a powdered metal and report the results of their multiple trials below. The exact (true/accepted) value for this mass is 8.72 9. Student #1: 8.72 g: 8.74 g: 8.70 g Student #2:8.50 g: 8.48 g: 8.519 a) Calculate the average mass from each set of data Average Set 1: _ Average Set 2:...
please show all work and steps! 1 point A square coil of of side a is...
please show all work and steps!
1 point A square coil of of side a is sitting in the XY-plane. Its area vector is
Consider a square. The length of each side of the square is 3cm with an error of 0.01cm. The estimated area of the square is 9cm2. What is the maximum error on this estimate?
If your measurement of some quantity is uncertain and this measurement enters into some formula then the results of that formula will also be in uncertain. This effect is often called the propagation of error and is illustrated by the following question. 8. Suppose you measure a square piece of carpet to have an edge of length 10.5 in. Assume that your measurement has a 5% uncertainty. Thsn, for all you know the edge could be as long as 11...
Error Propagation What is error propagation? A question in error propagation is that when we take a product of measurements we do what with the uncertainties? Should our uncertainties get bigger or smaller as they propagate through the formulas? Take a square and measure one side. What happens to the uncertainties when you calculate Area? Can this be beneficial when our product contains measurements of different units? The rule is to find the relative uncertainty in a product of measurements...
2. The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle (b) Approximate the percent error in computing the area of the triangle.
just need help with the second question
"a scientific experiment the measurement error made by an instrument is a random variable X with probability density function a) Find the value of c. Leave your answer as a fraction. otherwise. b) Suppose Y = x2. Find the density function of Y. Sx(x) = { ex it-4sxs. Nico is giving a one hour talk on his research at a big university. The number of questions he is asked by audience members in...
Solve using the Neyman-Pearson Theorem
63. The error X in a measurement has a normal distri- bution with mean value 0 and variance o2. Con- sider testing Ho: a = 2 versus H: = 3 based on a random sample X1, . . . , X, of errors a. Show that a most powerful test rejects Ho when Σ>. b. For n 10, find the value of c for the test in (a) that results in a = .05
CHE 120 Activity 2. Measurement Evaluations: Accuracy & Precision Associated Resources: Accuracy & Precision Handout Exercice #1: Two students weigh a powdered metal, 1: Wo students weigh a powdered metal and report the results of their multiple trials below. The exact (true/accepted) value for this mass is 8.72 9. Student #1: 8.72 g: 8.74 g: 8.70 g Student #2:8.50 g: 8.48 g: 8.519 a) Calculate the average mass from each set of data Average Set 1: _ Average Set 2:...
please show all work and steps!
1 point A square coil of of side a is sitting in the XY-plane. Its area vector is
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