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Your organization purchases bottles of a popular commercial solvent for resale. Each bottle is labeled as containing 32 fluid ounces of the solvent. Your contract specifies that each bottle must contain 32 ± .125 ounces of the specified solvent. Recently, you have noticed that some bottles appear to be out of specification. Obviously, the most significant problem is bottles do not contain at least 31.875 ounces of solvent. The results of a study of the bottle-filling process indicate an average of 31.995 ounces of solvent in each bottle with a standard deviation of approximately .075 ounces. Based on this information, what proportion of filled bottles are out of specification?
Cluster Analysis could be also represented more formally as optimization procedure, which tries to minimize the Residual Sum of Squares objective function: where μ(ωk) - is a centr
Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf
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While there are p original variables the number of principal components is m such that m
Sample Standard Deviation So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population stand
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Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads "maximum capacity 1400kg or 20 persons". Suppose that the weights of lift-users are
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The tension, T, in the tow rope pulling the car in Newtons is given in P8. Determine the minimum length of the rope l, between A and B, so that the tension in either AB or AC equa
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