Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. it occurs above approximately 50 meters per second, when the press drops off sufficiently to allow the water to dissociate into water vapor forming a gas bubble behind the vehicle. when the gas bubble completely encloses the vehicle, supercavitation is said to occur. eight (n = 8) tests were conducted on a scale model of an undersea vehicle in a towing basin with the average observed speed \bar{x}=102.2 meters per second. assume that speed is normally distributed with\sigma =4 meters per second. use \alpha =0.05

compute the power of this test if the true mean speed is low as 95 meters per second. round your answer to four decimal places (e. g. 98.7654).

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the answer is 62.8 cubic units