1. Production of a gas flow meter takes place in two distinct operations. Measurements (n = 15) of the time required for the first operation yield sample mean and standard deviation of 45 min and 4 min, respectively. Measurements (n = 15) of the time required for the second operation yield sample mean and standard deviation of 32 min and 2.5 min, respectively. For the purposes of this question, assume each time is a normally-distributed random variable. a) What is the probability that the time required to complete both of those steps will exceed 80 min? b) What is a 95% confidence interval for the expected total time required to produce one flow meter? c) What is a 95% confidence interval for the standard deviation of the total time required to produce %3D one meter?

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