The shear strength of each of ten test spot welds is determined, yielding the following data (psi). 415 362 398 375 364 371 409 389 367 358 (a) Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. (Round your answers to two decimal places.) average 380.80 psi standard deviation 20.56 X psi (b) Again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [Hint: What is the 95th percentile in terms of u and o? Now use the invariance principle.] (Round your answer to two decimal places.) 414.62 X psi (c) 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.) 0.8238 X
The shear strength of each of ten test spot welds is determined, yielding the following data (psi). 415 362 398 375 364 371 409 389 367 358 (a) Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. (Round your answers to two decimal places.) average 380.80 psi standard deviation 20.56 X psi (b) Again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [Hint: What is the 95th percentile in terms of u and o? Now use the invariance principle.] (Round your answer to two decimal places.) 414.62 X psi (c) 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.) 0.8238 X
MATLAB: An Introduction with Applications
6th Edition
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Related questions
Question
Please answer all parts because it’s one question. The first person got it wrong.
![The shear strength of each of ten test spot welds is determined, yielding the following data (psi).
415 362 398 375 364 371
409 389 367 358
(a) Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation
of shear strength using the method of maximum likelihood. (Round your answers to two decimal places.)
average
380.80
psi
standard deviation
20.56
X psi
(b) Again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their
strengths. [Hint: What is the 95th percentile in terms of u and o? Now use the invariance principle.] (Round your answer
to two decimal places.)
414.62 X psi
(c) 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.)
0.8238 X
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3dc90927-a4d4-417e-bb21-8f8d729f068b%2F41ddd907-7b04-40b6-945a-b173e0bd5d29%2Fj94ztit_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The shear strength of each of ten test spot welds is determined, yielding the following data (psi).
415 362 398 375 364 371
409 389 367 358
(a) Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation
of shear strength using the method of maximum likelihood. (Round your answers to two decimal places.)
average
380.80
psi
standard deviation
20.56
X psi
(b) Again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their
strengths. [Hint: What is the 95th percentile in terms of u and o? Now use the invariance principle.] (Round your answer
to two decimal places.)
414.62 X psi
(c) 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.)
0.8238 X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
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Step 1
From given data we have :
415,362,398,375,364,371,409,389,367,358
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