Hypothesis Testing

DOE PRACTICAL TEAM MEMBERS (fill this according to your DOE practical):
1) Jasmine (Iron Man)
2) Hariz (Thor)
3) Tristan (Captain America)
4) Weng Yan (Black Widow)
5) Glenn (Hulk)

Iron Man will use Run #1 and Run#3. To determine the effect of projectile weight.

Thor will use will use Run #2 and Run#4. To determine the effect of projectile weight.

Captain America will use Run #2 and Run#6. To determine the effect of stop angle.

Black Widow will use Run #4 and Run#8. To determine the effect of stop angle.

Hulk will use Run #6 and Run#8. To determine the effect of projectile weight

The QUESTION	To determine the effect of stop angle on the flying distance of the projectile
Scope of the test	The human factor is assumed to be negligible. Therefore, different users will not have any effect on the flying distance of projectile.   Flying distance for catapult A is collected using the factors below: Arm length = 33.3 cm Projectile weight = 2.03 grams Stop angle = 50 degree and 90 degrees
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): The stop angle of the catapult has no significant effect on the flying distance of the projectile.   State the alternative hypothesis (H1): The stop angle of the catapult has a significant effect on the flying distance of the projectile.
Step 2: Formulate an analysis plan.	Sample size is 8. Therefore t-test will be used. (n<30) Significance level (α) used in this test is 0.05
Step 3: Calculate the test statistic	State the mean and standard deviation of Run #4: Mean of Run #4: 146.9 Standard deviation of Run #4: 0.86    State the mean and standard deviation of Run #8: Mean of Run #8: 100.3 Standard deviation of Run #8: 8.82     Compute the value of the test statistic (t): V = 8 + 8 -2     = 14
Step 4: Make a decision based on result	Type of test (check one only) 1.     Left-tailed test: [ __ ]  Critical value tα = - ______ 2.     Right-tailed test: [ __ ]  Critical value tα =  ______ 3.     Two-tailed test: [✓]  Critical value tα/2 = ± 2.145   Use the t-distribution table to determine the critical value of tα or tα/2   Compare the values of test statistics, t, and critical value(s), tα or ± tα/2 tα/2 = ± 2.145 t =±13.913 Therefore Ho is rejected.
Conclusion that answer the initial question	With Ho the null hypothesis being rejected, this means that H1 the alternative hypothesis is accepted. Thus this shows that the stop angle of the catapult will have significant effect on the flying distance of the projectile.
Compare your conclusion with the conclusion from the other team members.	When comparing to Captain America, the null hypotheses is also rejected. The alternative hypothesis was accepted instead. This is the link to Capitan America's blog. here
What inferences can you make from these comparisons?	Since both the conclusions are the same, one can infer that the weight of the projectile significantly affects the flying distance and that my alterative hypothesis was correct.
Your learning reflection on this Hypothesis testing activity	Hypothesis testing activities has thought me how to verify and confirm my hypothesis for experiments. This is very beneficial as in the future there would be many experiments that I would need to conduct. Thus having this knowledge will make the future experiments I conduct more reliable and easy.