The Volume () of gas vanes inversely to the pressure (P). The volume of gas is 200 cm ^ 3 under pressure of 32 kg/cm^ 2 What wil
1 answer:
Answer:
0.025 Kg/ cm²
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
where b = constant of proportionality
to determine the answer in this question :
1. determine constant of proportionality
200 = k / 32
k = 6400
2. Determine the amount of pressure using the constant of proportionality
256, 000 = 6400 / pressure
pressure = 6400 / 256, 000 = 0.025
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Solution:-
- The population proportion, P = 0.03 ( 3 % )
- The sample proportion, p = 0.058 ( 5.8 % )]
- The sample size , n = 85.
- State the hypothesis:
Null hypothesis : P = 0.03 ( 3 % )
Alternate hypothesis : P ≥ 0.03 ( 3 % )
- The rejection region is defined by the significance level α:
significance α = 0.05
Z-critical = Z_α = Z_0.05
p-value = Z_0.05 = 1.645
- The Z-statistics:
- Compare against the rejection value ( p - value ):
Z-critical = 1.645
Z-test = 1.5132
Z-test < Z-critical ... ( Null not rejected )
- We fail to reject the Null hypothesis, there is not enough evidence to support the manager's claim that the production process is out of control. Hence, we can support that the production process is not out of control.