Additional problem 1: a manufacturer claims that a process mean is 75. it is desired to test this claim on a continuous basis by periodically taking a single measurement of the process quality characteristic (x). given this sampling scheme, develop lower and upper cut-off limits (xlo and xhi) for the desired hypothesis tests. the standard deviation of the distribution of x is known to be 6. assume a risk level, α, of 0.05. create an oc curve, as discussed in class, to show the performance of the sampling scheme.