It is known that 1 out of 200 test performed in Auxiliary Power Unit results in...
It is known that 1 out of 200 test performed in Auxiliary Power Unit results in a failure. (a) What is the probability that the failure occurs at the 20th flight test? (Round up to 4 digits)
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It is known that 1 out of 200 test performed in Auxiliary Power
Unit results in...
Problem 4: (2 points) A life test is performed on 10 components. The hours to failure...
Problem 4: (2 points) A life test is performed on 10 components. The hours to failure are as follows: 200 370 500 620 730 840 950 1050 1160 400 Assume this data follows a 2-parameter Weibull distribution. If an identical component is put on test and survives for 100 hours, what is the probability that it will survive for 200 additional hours?
Question 3 (1 point) [YVEVLXSIAZ] In the Unit 3, Activity 8 - Power Activity, students learned...
Question 3 (1 point) [YVEVLXSIAZ] In the Unit 3, Activity 8 - Power Activity, students learned about the rate of energy transfer also known as power. In a classic experiment, Robert Downey Jr. (78 kg) and Chris Hemsworth (91 kg) are racing up a flight of 10 stairs. Each stair is 19.7 cm high. If Chris Hemsworth manages to get up the stairs is 11.5 seconds and Robert Downey Jr. takes 8.1 seconds, who measures the greatest power? (This question...
The results of a standard Proctor test (ASTM performed in a standard mold with V-1/30 ft...
The results of a standard Proctor test (ASTM performed in a standard mold with V-1/30 ft are given below Weight of wet soil Water content in the mold (Ibs 3.26 4.15 4.67 4.02 3.63 8.4 10.2 12.3 14.6 16.8 a) Plot the data on a plot of dry unit weight versus water content and determine the maximum dry unit weight and the optimum water content. As the geotechnical engineering consultant involved in the project, based on the results obtained in...
Suppose 150 people take a random knowledge test, and say the mean score was 100 out...
Suppose 150 people take a random knowledge test, and say the mean score was 100 out of 200 points, with a standard deviation of 40. Supposing the scores are distributed in a normal probability distribution. Approximately how many people got above a 180? What is the probability that someone got between a 91 and a 157 on the quiz? (Round your answer to three digits after the decimal).
1) Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a...
1) Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. What is the probability that the company uses more than 270 dB during any particular hour? 2) A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What...
Consider the hypothesis test Ho: Mi = H2 against H:M1 < u2 with known variances a...
Consider the hypothesis test Ho: Mi = H2 against H:M1 < u2 with known variances a = 10 and 02 = 6. Suppose that sample sizes ni = 11 and 12 = 14 and that īj = 14.3 and 12 = 19.6. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if 1 is 4 units less than 42? (c) Assuming equal sample sizes, what sample...
A diagnostic test for a certain disease is applied to n individuals known to not have...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than...
QUESTION 10 1. It is known that the standard deviation of a population equals 30. A...
QUESTION 10 1. It is known that the standard deviation of a population equals 30. A random sample of 85 observations is going to be taken from the population. Compute the margin of error corresponding to a 99% level of confidence. NOTE: WRITE YOUR ANSWER WITH 4 DECIMAL DIGITS. DO NOT ROUND UP OR DOWN. QUESTION 11 The average score of a sample of 50 senior business majors at UTC who took the Graduate Management Admission Test was 510 with...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease.
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than the...
Suppose that 1 out of every 200 students has Meningitis. Suppose there is a test T...
Suppose that 1 out of every 200 students has Meningitis. Suppose there is a test T for Meningitis. Suppose that this test, like any test, is NOT 100% accurate. In particular, sup- pose that the probability that you test positive GIVEN that you have Meningitis equals .97. Suppose that the probability that you test negative GIVEN that you DO NOT have Mengingitis equals .92. Suppose you pick a random student, and test them for Meningitis using the test T. Consider...
Problem 4: (2 points) A life test is performed on 10 components. The hours to failure are as follows: 200 370 500 620 730 840 950 1050 1160 400 Assume this data follows a 2-parameter Weibull distribution. If an identical component is put on test and survives for 100 hours, what is the probability that it will survive for 200 additional hours?
Question 3 (1 point) [YVEVLXSIAZ] In the Unit 3, Activity 8 - Power Activity, students learned about the rate of energy transfer also known as power. In a classic experiment, Robert Downey Jr. (78 kg) and Chris Hemsworth (91 kg) are racing up a flight of 10 stairs. Each stair is 19.7 cm high. If Chris Hemsworth manages to get up the stairs is 11.5 seconds and Robert Downey Jr. takes 8.1 seconds, who measures the greatest power? (This question...
The results of a standard Proctor test (ASTM performed in a standard mold with V-1/30 ft are given below Weight of wet soil Water content in the mold (Ibs 3.26 4.15 4.67 4.02 3.63 8.4 10.2 12.3 14.6 16.8 a) Plot the data on a plot of dry unit weight versus water content and determine the maximum dry unit weight and the optimum water content. As the geotechnical engineering consultant involved in the project, based on the results obtained in...
Consider the hypothesis test Ho: Mi = H2 against H:M1 < u2 with known variances a = 10 and 02 = 6. Suppose that sample sizes ni = 11 and 12 = 14 and that īj = 14.3 and 12 = 19.6. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if 1 is 4 units less than 42? (c) Assuming equal sample sizes, what sample...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than...
QUESTION 10 1. It is known that the standard deviation of a population equals 30. A random sample of 85 observations is going to be taken from the population. Compute the margin of error corresponding to a 99% level of confidence. NOTE: WRITE YOUR ANSWER WITH 4 DECIMAL DIGITS. DO NOT ROUND UP OR DOWN. QUESTION 11 The average score of a sample of 50 senior business majors at UTC who took the Graduate Management Admission Test was 510 with...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than the...
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