Hypothesis Testing

HYPOTHESIS TESTING

Another cheem word, but before we get to know what is hypothesis testing, we shall look at these two words, population and sample.

Population: The entire group of individuals or elements in which are interested in but do not usually assess directly.

Sample: The part of the population we actually examine and for which we have data.

So, what 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.

It is more ideal to examine the entire population however it is impractical, hence sample is used.

For this assignment, I will use the DOE experimental data using the CATAPULT that my team have conducted during the practical using full factorial data.

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

1. Jasmine (Iron Man)

2. Hariz (Thor)

3. Tristan (Captain America)

4. Weng Yan (Black Widow)

5. Glenn (Hulk)

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

For Iron Man, Thor, Hulk. USE THIS TEMPLATE TABLE and fill all the blanks

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 = 28cm Projectile weight = 0.85 grams and 2.03 grams Stop angle = 50 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): The projectile weight has no significant effect on the flying distance of the projectile. State the alternative hypothesis (H1): The projectile weight has a significant effect on the flying distance of the projectile.
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 0.05
Step 3: Calculate the test statistic	State the mean and standard deviation of Run #1: Mean: 266.7cm Standard deviation: 1.84cm State the mean and standard deviation of Run #3: Mean: 247.6cm Standard deviation: 6.55cm Compute the value of the test statistic (t): v=8+8-2=14 =8(1.84)2+8(6.55)28+8-2=5.14299 t=266.7-247.65.14299 18+18=7.43
Step 4: Make a decision based on result	Type of test (check one only) Left-tailed test: [ __ ]  Critical value tα = - ______ Right-tailed test: [ __ ]  Critical value tα =  ______ 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 t=7.43 t/2=2.145 Since t=7.43, which lies in the rejected region, shows that projectile weight affects flying distance of the projectile. Therefore Ho is rejected.
Conclusion that answer the initial question	H0 is rejected while H1 is accepted. This shows that the projectile weight has a significant effect on the flying distance of the projectile.
Compare your conclusion with the conclusion from the other team members.	When comparing the results obtained by Thor(Hariz) and Hulk(Glenn), it seemed that the 3 of us had H0 rejected and H1 accepted. This shows that our conclusion was the same and projectile weight has a significant effect on the flying distance of projectile.
What inferences can you make from these comparisons?	In all 3 tests conducted, we got H0 rejected and H1 accepted hence it shows that there is a significant effect when projectile weight is changed.
Your learning reflection on this Hypothesis testing activity	Hypothesis testing allows experimenters and me to get accurate statistical hypotheses. This is extremely useful when doing my capstone project as I will need to examine large datas from my experiment and hence providing more accurate hypotheses.