Mathematics
Mathematics, 06.12.2019 19:31, ernestsbaby6181

The shear strength of each of ten test spot welds is determined, yielding the following data (psi): 392 376 401 367 389 362 409 415 358 375 you are to design a structure that will be built using spot welds similar to the ten you have measured. in order to ensure that the structure is reliable, you'll want to infer a distribution from this data. (a) assuming that the shear strength is normally distributed, estimate the av- erage and standard deviation of its distribution using the moment-matching method. (b) again assuming a normal distribution, estimate the weld strength value above which 95% of all weld strengths will be. assume that the actual standard deviation is known and equal to the one estimated from the data. (c) repeat the previous two steps, but now assume a lognormal distribution. (use the moment matching method to estimate the parameters of your lognormal distribution.) how much did your answer to part b change?

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