Hypothesis Testing!!

Firstly, I was part of group 2, consisting of 

- myself

- jun heng

- zelene

- zhi wei

- ambrose 

Next, here are the full and fractional factorial data tables as well as the calculations!

( Full factorial table )

( Fractional Factorial table )

Then I completed the task given on blackboard! it was soooo much fun

The QUESTION	The catapult (the ones that were used in the DOE practical) manufacturer needs to determine the consistency of the products they have manufactured. Therefore they want to determine whether CATAPULT A produces the same flying distance of projectile as that of CATAPULT B.
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 A and catapult B is collected using the factors below: Arm length = 28.5 cm Start angle = 20 degree Stop angle = 90 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): Catapult A when compared to Catapult B shows no difference in flying distance   State the alternative hypothesis (H1): Catapult A when compared to Catapult B shows a difference in flying distance
Step 2: Formulate an analysis plan.	Sample size is 8. Therefore t-test will be used.     Since the sign of H1 is ≠, a two tailed test is used.     Significance level (α) used in this test is 0.01
Step 3: Calculate the test statistic	State the mean and standard deviation of sample catapult A: Mean – 95.1 cm Standard deviation – 2.4 cm     State the mean and standard deviation of sample catapult B: Mean – 94.1 cm Standard Deviation – 6.51 cm     Compute the value of the test statistic (t): = 0.355
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 = ± 2.977   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   Therefore Ho is accepted .
Conclusion that answer the initial question	Catapult was determined to be consistent throughout manufacturing catapult a as well as Catapult B.
Compare your conclusion with the conclusion from the other team members.   What inferences can you make from these comparisons?

REFLECTION TIMEEEE

Honestly, i wasnt even here for the lesson so i damn blur but thanks to the help of my friends i was able to do this task smoothly and was able to complete it without any issues. This showed me that i should not be missing classes as i will be missing out on a lot of things and would have to trouble my friends to help me out if not i will be like blur sotong. Overall this was not to difficult, but again, only thanks to my friends!!