An engineer designed a valve that will regulate water pressure on an automobile engine. the engineer designed the valve such that it would produce a mean pressure of 5.2 pounds/square inch. it is believed that the valve performs above the specifications. the valve was tested on 160 engines and the mean pressure was 5.4 pounds/square inch. assume the variance is known to be 1.00. a level of significance of 0.01 will be used. determine the decision rule.
to calculate the distance (d) use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 5)
= = = = 5 ← exact value