The task was for me to determine if the Catapults used during the challenge with the consistency of the product that the manufacturer had manufactured
Of course, we need to have to set the scope of the test.
Here are the things we stated. The human factor is assumed to be negligible. Therefore different users will not have any effect on the flying distance of the projectile.
There are 3 factors that were used to collect the samples of data:
Arm Length = 31cm
Start Angle = 20 degrees
Stop Angle = 95 degrees
Now we need to state the statistical hypotheses.
The null hypothesis (H0):
The is no significant difference between Catapult A and Catapult B with reference to the flying distance of the projectile.
x̄1 = x̄2
The null hypothesis (H1):
The is a significant difference between Catapult A and Catapult B with reference to the flying distance of the projectile.
x̄1 ≠ x̄2
Afterwards, we need an analysis plan.
The sample size is 16, Therefore t-test will be used.
Since the sign of H1 is ≠, a two-tailed test is used
The significance level (α) used in this test is 0.05
Now we calculate the test statistics
Using the formulas, we need to find t, σ and v using the data we collected
t = 5.356
v = 14
σ = 2.763
Making a decision
Since it is a two-tailed test, the critical valve of tα/2 = ± 2.145
Comparing the values of test statistics, t, and critical value(s), tα or ± tα/2
Test statistics, t is outside the acceptable range.
Therefore Ho is Rejected. H1 is Accepted.
Conclusion
There is a significant difference between Catapult A and Catapult B with reference to the flying distance of the projectile.
x̄1 ≠ x̄2
Comparison with team members
My conclusion matches with the rest of my team member’s conclusions where there is a significant difference between Catapult A and Catapult B.
I can infer that the consistency of manufacturing of the two catapults can vary and is not constant.
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