Two opposite forces which are acting perpendicular to an axis cause the moment of couple or torque.
<h3>What is couple?</h3>
Couple is the pair of force of equal magnitude which acts in opposite direction to each other. The moment of couple is known as the troque, which can be calculate as,
Here, (F) is the magnitude of one of the force and (s) is the perpendicular distance of force acting on axis.
Here, the two opposite forces are given which acts perpendicular to an axis. Now suppose there is the magnitude of both the force (F) is equal and the perpendicular distance from the axis is also same.
Thus, from the above definition of moment of couple, they produce, torque or moment of couple.
Hence, the two opposite forces which are acting perpendicular to an axis cause the moment of couple or torque.
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The conclusion of the research is that we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
<h3>How to solve hypothesis testing?</h3>
We are given;
Population Mean; μ = 426
Sample mean; x' = 433
Sample size; n = 13
Standard deviation; s = 29
significance level; α = 0.05
Let us define the hypotheses;
Null Hypothesis; H₀: μ = 426 g
Alternative Hypothesis; H_a: μ < 426 g
Formula for the z-score here is;
z = (x' - μ)/(s/√n)
z = (433 - 426)/(29/√13)
z = 0.87
From online p-value from z-score calculator, we have;
p-value = 0.1922
This p-value is greater than the significance value and as such we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
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Answer:
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