HYPOTHESIS TESTING

Hello guys!!! Welcome to my blog after a long gap!!! Well this time, it is a continuity from the last blog. 

Factor A: Arm Length

Factor B: Projectile weight

Factor C: Stop Angle

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

Thor 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.

Since I chose to be Hulk, I am using Run #6 and Run #8

DOE Practical Team Members

1)Klinton (Iron Man)

2)Sook Yee (Captain America) 

3)Jun Ying (Thor)

4)Olivia (Black Widow)

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 =  __31__cm Projectile weight = ___0.85__ grams and ____2.01__ grams Stop angle = __90___ degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0):  At arm length of 31cm and stop angle of 90 degrees, the projectile weight of 0.85 grams and 2.01 grams have no difference.     State the alternative hypothesis (H1): At arm length of 31cm and stop angle of 90 degrees, the projectile weight of 0.85 grams and 2.01 grams, are different.
Step 2: Formulate an analysis plan.	Sample size is __8__ Therefore t-test will be used.     Since the sign of H1 is  ±, a 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: 108.3 Standard deviation: 6.51       State the mean and standard deviation of Run #_8_:  Mean: 116.4  Standard deviation: 4.07     Compute the value of the test statistic (t):
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: [ _v = 14_ ]  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 = 2.7912  ± tα/2 = 2.1450 Therefore Ho is ____rejected_______.
Conclusion that answer the initial question	As H0 is rejected, H1 is accepted. This means that projectile weight has a significant effect on the flying distance of the projectile weight .
Compare your conclusion with the conclusion from the other team members.	Based on the conclusions of my other team members, our conclusions are similar as we rejected H0. We accepted H0 .
What inferences can you make from these comparisons?	I can infer that projectile weight has a significant effect on the flying distance of the projectile weight.
Your learning reflection on this Hypothesis testing activity	This hypothesis activity has taught me a lot of new things. Before this activity, I have not come across concepts gone through in this activity in my other modules. Hypothesis testing allowed me to evaluate the strength of my claim or my assumptions before implementing it in my data set. Hypothesis testing presented the ideal way to determine the credibility of the statistical hypothesis by examining the entire population. Moreover, it provides a reliable framework for making data decisions for my samples. This is extremely helpful as I can use this test method to test it for other experiments or practicals that I will come across in the future, or implement it in the working force. This would help me to strengthen the credibility of my hypothesis by testing it, using this method.