CP5070-2022-2B05-Group 3-Asraf-Blog 6 (Hypothesis Testing)

 

Welcome To My Blog Where This Time It Will Be About Hypothesis Testing Which Is The 2nd Last Blog Before We End The Semester.

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 chose to be Person B which is Thor as I honestly see Chris Hemsworth as an idol due to his character and his physique in the movies. 

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

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 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 = 33.6cm Projectile weight = 0.8604 grams (Average of 2 brown ball) and 2.0514 grams Stop angle = 120 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): When arm length is 33.6cm and stop angle is at 120 degree. The projectile distance travelled with the projectile weight of 0.8604 grams and 2.0514 grams. There will be no effect. H0,2 = H0,4 State the alternative hypothesis (H1): When arm length is 33.6cm and stop angle is at 120 degree. The projectile distance travelled with the projectile weight of 0.8604 grams and 2.0514 grams. There will be effect. We can conclude that the larger the projectile weight, the distance travel is shorter. H0,2 > H0,4
Step 2: Formulate an analysis plan.	Sample size is 16 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 #2: Mean: 233.3 Standard Deviation: 3.01 State the mean and standard deviation of Run #4: Mean: 142.3 Standard Deviation: 1.58 Compute the value of the test statistic (t):
Step 4: Make a decision based on result	Type of test (check one only) Right-tailed test: [YES] Critical value tα = 0.692 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 = 70.8 Therefore, Ho is false.
Conclusion that answers the initial question	To conclude, there will be significant difference of the distance. The lighter the projectile weight, the further the distance will be. Since Ho is false, H1  is true
Compare your conclusion with the conclusion from the other team members.	Valarie: In conclusion, using a higher stop angle will result in a higher flying speed of the distance of the projectile while using a lower stop angle will result in a lower flying speed distance of the projectile. Therefore, since Ho is rejected, H1 is true. Eshvin: ​In summary, when a high stop angle is used, the flying distance of the projectile will be high. When a low stop angle is used ,the flying distance of the projectile will be low. Thus Ho is rejected. Insyirah: Since the test statistic, t = 8.92 lies in the rejection region, the null hypothesis is rejected. Hence, At an arm length of 28.1 cm and stop angle of 120 degrees, the flying distance of the projectile weight using a projectile weight of 0.86g and 2.05g are different.
What inferences can you make from these comparisons?	Based on all the 4 conclusions, we can safely say that using a higher stop angle, lighter projectile weight will increase the distance of the projectile as compare using a heavier projectile or a lower stop angle.
Your learning reflection on this Hypothesis testing activity	During the first lesson, it took me awhile to understand how the calculation and the graphs works. I did try to understand in class but still wasn’t sure about it. Even after doing the practice question I’m still blur on how the calculation works. But after consulting Mr Ting, he explain to me in a way that it was easy for me to understand how the graph work. It still took me time to understand how to use the calculation correctly. After trying it out for a few times, I finally manage to do the calculation all by myself with little mistakes which is a big improvement for me.

It Has Come To An End Of This Blog, Not To Worry As There Will Be One Last Blog Left Before Ending This Semester. GoodBye.