Hypothesis Testing

 Hypothesis testing

For this assignment, we will use the DOE experimental data using the CATAPULT that you have conducted during the practical. We will use FULL FACTORIAL DATA. 

DOE PRACTICAL TEAM MEMBERS:

1. Jasmine (Iron Man)

2. Hariz (Thor)

3. Tristan (Captain America)

4. Samantha (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

Therefore I will be determining the effect of projectile weight using run #6 and #8,

The QUESTION	To determine the effect of projectile weight on the flying distance of the projectile
Scope of the test	The human factor is assumed to be negligible. Therefore different user will not have any effect on the flying distance of projectile.   Flying distance for catapult is collected using the factors below: Arm length =  33.3 cm Projectile weight = 0.85 grams and 2.03 grams Stop angle = 90 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): The projectile weight has no significant effect on the flying distance of the projectile. State the alternative hypothesis (H1): The projectile weight 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.   Since the sign of H1 is ≠ , a left/two/right tailed test is used. Significance level (α) used in this test is 0.05
Step 3: Calculate the test statistic	State the mean and standard deviation of Run # 6: Mean value of Run#6: 106.1 Standard deviation of Run#6: 2.77 State the mean and standard deviation of Run #8: Mean value 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 =6.99 t=, t= ±1.65
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: [x]  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= ±1.65 Therefore Ho is accepted.
Conclusion that answer the initial question	Ho is accepted since the statistic t=1.66 lies in the fail to reject region hence the projectile weight has no significant effect on the flying distance of the projectile.
Compare your conclusion with the conclusion from the other team members.	When comparing the results obtained by Thor (Hariz) and Iron man (Jasmine), it seemed that the 2 of them had H0 rejected and H1 accepted, however my H0 is accepted. This shows that our conclusion was slightly different.
What inferences can you make from these comparisons?	One inferences I can make is that my result is different from both Hariz and Jasmine and this could be due to the anomaly in run #8 of 120cm which ruins my mean and standard deviation compared to the rest of below 100cm.
Your learning reflection on this Hypothesis testing activity	Personally, I felt that this activity was confusing when trying to differentiate between the number of samples and knowing what kind of test to do. However as I learnt more about it and understood it's concept. It was easier to do related questions.