hypothesis

 

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HYPOTHESIS TESTING TASK FOR INDIVIDUAL BLOG

For this assignment, you will use the DOE experimental data using the CATAPULT that you have conducted during the practical. You will use FULL FACTORIAL DATA. You are free to express yourself in your blog, but the table provided on page 2 to 7 must be followed.

DOE PRACTICAL TEAM MEMBERS (fill this according to your DOE practical):

1. Person A (Iron Man)

2. Person B (Thor)

3. Person C (Captain America)

4. Person D (Black Widow)

5. Person E (Hulk)

I have chosen Person B (Thor) to use run #2 and #4 to determine the effect of projectile weight.  

Data collected for FULL factorial design using CATAPULT A (fill this according to your DOE practical result): 

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 cm Projectile weight = 0.8619 grams and 2.0117 grams Stop angle = 10 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): When the arm length is at 33 cm and the stop angle is at 10 degree, the projectile distance travelled at projectile weight 0.8619 grams and projectile weight 2.0117 grams have no difference.   𝜇2 = 𝜇4   State the alternative hypothesis (H1): When the arm length is at 33 cm and the stop angle is at 10 degree, the projectile distance travelled at projectile weight 0.8619 grams and projectile weight 2.0117 grams have  difference.    𝜇2 > 𝜇4  The larger the projectile weight, the smaller the distance travelled by the projectile.
Step 2: Formulate an analysis plan.	Sample size is 16 Therefore t-test will be used.     Since the sign of H1 is > , a right tailed test is used.     Significance level (α) used in this test is 0.05.     Yeah! Looks like boss bingus is on the way to rescue his homie Meevin! Homies over hose! Be like boss bingus.
Step 3: Calculate the test statistic	State the mean and standard deviation of Run # 2:  mean : 87.1  std:  1.55  State the mean and standard deviation of Run #4 :  means75.3  std: 0.93 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: [yes ]  Critical value tα =  1.761 3.     Two-tailed test: [ __ ]  Critical value tα/2 = ± ______   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  t = 17.277 Therefore Ho is false.    uhoh! looks like the popo is too strong! This means for bingus to get shredddddd. Will boss bingus manage to save homie meevin in time?
Conclusion that answer the initial question	my conclusion is that there is significant difference of the projectile distance on the projectile weight.  as the porjectile weight used is lighter, the projectile distance is further.   Since Ho is rejected, H1 is true.
Compare your conclusion with the conclusion from the other team members.	My conclusion is that projectile weight has a significant effect on the projectile distance travelled. With the same arm length and stop angle used, the distance travelled by the projectile has a significant difference with the projectile weight used. From the data, a smaller projectile weight is used, the larger the projectile distance.
What inferences can you make from these comparisons?	the inferenced i can make from these comparisons is that different projectile weight will produce different outcomes of projectile distance.
Your learning reflection on this Hypothesis testing activity	my learning reflection on hypothesis activity:  At first, I had difficulty understanding how the alpha works. I think because I was not listening in class when the lecturer (Mr Chua) was explaining in class. I found it boring. Therefore, when I did the questions, I faced some difficulties and was very blur. However, thanks to my friends, kris and chua hui yi, they managed to explain what alpha means. And that is the area of the graph.  i know about the alpha in statistics. hence, when a two tail graph is used, i should divide the alpha by 2 to find the area of 1. The alpha is a standard of 0.05. I still do not understand why it is 0.05. The alpha can be changed but when doing calculations, we would use an alpha of 0.05. I think. i dont really remember. I guess i still need to revise again. furthermore, i had difficulty in doing the calculations. I did not know which variables means what. for example, i did not know X with the line on top means. And i keep confusing myself with the population and sample variables. after some reading of the slides, i understood how to do the calculations. When i attempted the practice questions, i faced a little bit of difficulty and sometimes i need to refer to the slides again or ask someone. However, as i tried to do it myself on the last few questions, i begun to understand how to do.

 

Heck Yeah! Boss Bingus managed to get Meevin!. They shall now disappear into the sunset together. 

All memes are credited to meevin and bingus.