The shear strength of each of ten test spot welds is determined, yielding the fo

Question

The shear strength of each of ten test spot welds is determined, yielding the following data (psi).

(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 four decimal places

(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 and ? Now use the invariance principle.] (Round your answer to four decimal places.)
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 ofP(X 400). [Hint:

P(X 400) = ((400 )/).]

(Round your answer to eight decimal places.)

Explanation / Answer

The shear strength of each of ten test spot welds is determined, yielding the fo

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