HYPOTHESIS TESTING 📉📝

HEY GUYSSSS!!!!! 👋🏻👋🏻 I AM BACK WITH YET ANOTHER BLOG😃 THIS BLOG IS A LITTLE SIMILAR🤌🏻 TO THE PREVIOUS BLOG THAT I DID. I WILL BE TALKING YOU THROUGH ABOUT MY UNDERSTANDING OF HYPOTHESIS TESTING🤠 AND A CERTAIN ASSIGNMENT📝.

SO WHAT ARE WE WAITING FOR❓❓ LET'S BEGIN‼️‼️

What really is Hypothesis Testing?

A statistical hypothesis is an assumption about a population parameter. This assumption may✅ or may not be true❌.

Hypothesis testing refers to the formal procedures used by experimenters or researchers👨🏼‍🔬 to accept👍🏻 or reject 👎🏻statistical hypotheses.

Hypothesis testing is used to answer questions such as:

• Does our product last longer than that of our competitors?

• Is the spare part performing as well as the original part?

• Did Class 2B05 really fare better in the MST than Class 2B06 did?

• Iron Man and Batman. Who is more powerful?
  

The ideal way to determine if a statistical hypothesis is true is by examining the entire population. Since that is often impractical, researchers usually examine only a random sample from the population. If the sample data is not consistent with the statistical hypothesis, the hypothesis is rejected.

Steps🪜in Hypothesis Testing

ASSIGNMENT

For this assignment, I will be using the DOE experimental data 👩🏽‍💻 using the CATAPULT ☄️ that I have conducted during the practical. I will use FULL FACTORIAL DATA 📉.

DOE PRACTICAL TEAM MEMBERS

1. Insyirah (Iron Man)🤴🏼

2. Asraf (Thor)🧛‍♂️

3. Valerie(Captain America)🦸🏼‍♀️

4. Eshvin (Black Widow)🦹🏼‍♀️

(Data collected for a FULL factorial design using CATAPULT)

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.

The QUESTION	To determine the effect of stop angle 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 A is collected using the factors below: Arm length = 28.1 cm Projectile weight = 0.8604 grams Stop angle = 120 degree and 60 degree
Step 1️⃣: State the statistical Hypotheses:	State the null hypothesis (H0): At an arm length of 28.1cm with 0.8604 g of projectile weight, the flying distance of the projectile with a stop angle of 120 degrees and 60 degrees has no difference. State the alternative hypothesis (H1): At an arm length of 28.1cm with 0.8604 g of projectile weight, the flying distance of the projectile with a stop angle of 120 degrees and 60 degrees has a difference.
Step 2️⃣: Formulate an analysis plan.	Sample size is 16 which is < 30 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.
Step 3️⃣: Calculate the test statistic	State the mean and standard deviation of Run #4, Mean: 204.5 Standard Deviation: 3.70 State the mean and standard deviation of Run #8, Mean: 138.3 Standard Deviation: 0.89 Compute the value of the test statistic (t):
Step 4️⃣: Make a decision based on the result	Right-tailed test: [✔] Critical value tα = 1.761 Since the test statistic, t = 48.89 lies in the rejection region, the null hypothesis is rejected. At 0.05 level of significance, the catapult do not produce the same flying distance of the projectile Therefore Ho is rejected.
Conclusion that answer the initial question	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.
Compare your conclusion with the conclusion from the other team members.	​Asraf: 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 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. Valerie: 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.
What inferences can you make from these comparisons?	I can deduce that utilizing a lighter projectile with a higher stop angle will result in the projectile traveling further than using a heavier projectile with a lower stop angle.

Learning Reflection👀✍🏼

The first 1️⃣ step in comprehending how to perform 🎭 hypothesis testing was learning Design of Experiment (doe). I think that once I have my data 📉from the doe experiment👨🏼‍🔬, I will use hypothesis testing to examine 🔎 the findings. When my lecturer 🧑🏻‍🏫 discussed hypothesis testing, I understood how crucial 👀 it is. Researchers and experimenters👨🏼‍🔬 formally accept ✅ or reject ❌ statistical hypotheses through this approach. At that point, I saw how useful 😯 this would be for my FYP as well as any upcoming experiments or research projects 🤠. There was an example to walk me through understanding how to do hypothesis testing, which helped 😇. The practice questions 📚 that helped me learn how to apply them were even better👍🏻. After practicing, I was unquestionably at ease 😮‍💨 in using hypothesis testing. For the task detailed in the blog, we were instructed to conduct hypothesis testing using the catapult's ☄️ past doe outcomes, but with a twist. My group had to choose different marvel characters 🦹🏼‍♀️ as each of us will do 2️⃣ different runs.  I decided to choose the black widow 🥷🏻 so I ran run 4️⃣ and 8️⃣ to see how the stop angle 📐 affected the projectile's flying ✈️ distance. I then obtained the outcomes I desired and discussed the findings 📉 with my teammates. Overall, after finishing the assignment, I discovered how helpful 👍🏻 the 5️⃣-step method is for evaluating hypotheses. It's crucial 🚨 to develop a hypothesis statement that addresses the problem the scenario aims to resolve ⛑. Since that stage will have the most impact 🌪 on how the final conclusion will be related to the null and alternative hypothesis, it is essential to assess the results 📉 after calculation ✍🏼 and decide whether to accept ✅ the null or alternative hypothesis. For hypothesis testing, understanding data 📉 would be more vital 📌 than simply following the various techniques mindlessly 🤯 as doing so could lead to a wrong 😱 conclusion that does not correspond with the calculated results 😓. I am now fairly certain that I will be able to apply what I have learned in the future 😁.

THANKS FOR READING MY BLOG‼️

HOPE YALL GAIN SOME KNOWLEDGE ALONG THE WAY 👀 AND ARE ABLE TO APPLY IT IN YOUR DAILY LIFE 🌆. CHECK OUT MY PREVIOUS DOE BLOG IF YOU HAVENT! 🌚🌚

I'LL BE BACK SOON FOR MY NEXT AND FINAL BLOG😓😭🤧 WHERE I WILL BE TALKING YALL THROUGH ABOUT MY PROJECT DEVELOPMENT JOURNEY‼️👀👨🏼‍💻

I HOPE YALL HAVE A GREAT DAY 🌈