The shear strength of each of ten test spot welds is deter- mined, yielding the following data

Question:

The shear strength of each of ten test spot welds is deter- mined, yielding the following data (psi): 392 376 401 367 389 362 409 415 358 375

a. Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maxi- mum likelihood.

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.]

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