Acceptance region

An NRR cutoff level can be selected to reflect the minimum acceptable profitabihty level. Lines of constant cutoff rate can be drawn on a profitabihty diagram, as shown in Figure 3b for NRR cutoff rates of 5, 10, and 15% per year. The acceptable region changes with discount rate and relative venture risk, ie, cutoff rate. 

The decision rules for each of the three forms are defined as follows If the sample t falls within the acceptance region, accept Hq for lack of contrary evidence. If the sample t falls in the critical region, reject Hq at a significance level of lOOot percent. 

Table 18.4.1 smiinuuizes another inetliod of risk assessment tliat can be applied to an accident system failure. Both probability and consequence have been ranked on a scale of 0 to 1 witli table entries being the sum of probability and consequence. The acceptability of risk is a major decision and can be described by dividing tlie situations presented in Table 18.4.1 into unacceptable, marginally acceptable, and acceptable regions. Figiue 18.4.2 graphically represents tliis risk data. ... 

On the evidence given here, the tablet conditioner seemed to work well, but the geometrical positions associated with the means (1.249, 1.775) differ from those with the means (1.069. .. 1.107) indeed, five of these positions were near the entry port of the controlled-humidity airstream, and the other two were situated in comers somewhat protected from the air currents. The 1.159 group marks the boundary of the acceptable region. 

The line y, = 65 = 30x, + 15x2 shown in Fig. 42.1. All points on that line or above satisfy the constraint 30x, + 15x2 Similarly, all points lying above line y2 = lOx, + 25x2 = 40 satisfy the second constraint of eq. (42.2), while the last constraints limit the acceptable solutions to positive or zero values for x, and X2. The acceptable region is the shaded area of Fig. 42.1. 

Reject H0 Area = a/2 Acceptance region 1-a Reject H0 /-Area = a/2... 

FIG. 3-65 Acceptance region for two-tailed test. For a one-tailed test, area = a on one side only. 

Since the sample value of t falls within the acceptance region, accept H0 for lack of contrary evidence i.e., there is insufficient evidence to demonstrate that thickness differs between the two selected locations. 

For both new and 2x new clearances, the damping factor versus separation margin between any bending natural frequency and the synchronous run line shall be within the acceptable region shown on Figme 1.2. If this condition cannot be satisfied, the damped response to imbalance shall be determined (see 1.1.4). 

Figure 6. Decision contours resulting from OSHA Compliance Criteria AL = 0.835, and UAL = 1.165, and assuming that the decision is based on six statistically independent samples. In comparison with Figure 5, many more environments are subject to a citation. This even includes some environments within the acceptable region bounded by the A EL contour in Figure 2.

By comparing Figure 6 with Figure 2, it is clear that by taking as few as six samples, a compliance officer can increase to better than 50-50 the odds of finding evidence to support a citation, even for some workplaces which lie Inside the presumably acceptable region bounded by the AEL = 0.95 contour. 

This equation has a root lying between and 3 provided ku is less than 37- This root then gives the lower limit on the range of x. As ku tends to 37, so the lower limit on x tends to 3, which is the value at which / becomes zero. Thus for ku = 37, the hysteresis curve disappears from the physically acceptable region (positive quadrant) of the P0-k2 parameter plane. 

As y approaches the coordinates of the singular point go to x = Tres = tn = 0, 0ad - oo. Thus the winged cusp leaves the physically acceptable region if the activation energy for the reaction becomes too small. 

This problem can most easily be circumvented by using a threshold criterion for C. If C equalled one in acceptable regions of the parameter space and zero outside these regions, then the result of the use of eqn.(4.32) would correspond to the shortest possible chromatogram for which the resolution is acceptable (C= 1). A similar situation would occur if we were to use a threshold criterion with a diffuse change between zero and one,... 

When a risk assessment shows a "high risk" situation, this would be judged unacceptable and require a response to abate the risk and move it downward toward the "low risk" or "variously acceptable" region. 

The "low risk" or "variously acceptable" region under this labeling scheme would then, by difference between high and insignificant, identify those situations where balancing decisions which consider risks, benefits and justification must be made for prioritizing the application of critical resources. 

The new scaled limits become more permissive than the classic unsealed BE limits as variability increases, and thus they require fewer subjects to prove BE. Nevertheless, the GMR acceptance region has a convex shape (Fig. 1), which is similar to that of the classic unsealed 0.80 to 1.25 limits (29,40). Undoubtedly, this is not only a desired property but also a unique characteristic for a scaled method. This finding is a consequence of the new structure of the BE limits with leveling-off properties. 

Moreover, the proposed procedure suffers from the same drawbacks as aU the mixed models of the scaled methods The boundaries of the GMR acceptance region converge to a minimum at the switching variability value and then start to spread apart for higher values of CV, presenting a nonconvex shape (Fig. 1). Consequently, an additional point estimate constraint criterion on GMR is needed. 

X = 10 s inferred from Fig. 18 is i min = 29 A. We thus expect the d values for the interrogation of tunneling from electron bubbles to fall in the physically acceptable region min = 29 A < d < L 50 A. The exponential distance dependence of the electron tunneling times from the bubble implies that very different physical situations will be encountered for dissipative bubble motion in normal (" He) y and ( He) clusters and in the absence of dissipative bubble motion in superfluid ( He) clusters. 

---