Hypothesis Testing

 

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. Yeung Juen (Iron Man)

2. Mavis (Thor)

3. Isabelle (Captain America)

4. Alvin (Black Widow)

5. Person E (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 #3 and Run#5. To determine the effect of projectile weight

 

 

 

 

 

 

For Captain America, Black Widow. USE THIS TEMPLATE TABLE and fill all the blanks

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 =  75 cm Projectile weight = 2 grams Stop angle =30 degree and 15 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): At arm length=75cm and projectile weight= 2grams, the stop angle being 30 and 15 makes a difference in the flying distance     State the alternative hypothesis (H1):   At arm length=75cm and projectile weight = 2grams, the stop angle being 15 and 30 degrees makes a difference In the flying distance
Step 2: Formulate an analysis plan.	Sample size is __16__ 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 4: Mean: 74.9cm Standard Deviation: 3.17     State the mean and standard deviation of Run 8: Mean:77.4 Standard Deviation:2.93     Compute the value of the test statistic (t): V=8+8-2=14  Σ (standard deviation of population)= 3.263 t= ±1.5323
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: [ _✓ ]  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   Therefore, Ho is true.
Conclusion that answer the initial question	Since H0­ is accepted, H1 is rejected. Therefore, there is no significant change caused by the change in projectile weight.
Compare your conclusion with the conclusion from the other team members.	My other team member who did Captain America got t= ±5.3719 which means her Ho is rejected and H1 is accepted. This means that there is a significant change caused by the change in projectile weight.
What inferences can you make from these comparisons?	The run used will affect the conclusion that we get from doing hypothesis testing. This would mean that hypothesis testing is not an accurate way to determine whether a factor has significant change or not. It is however a faster way to determine the significance of a factor.
Your learning reflection on this Hypothesis testing activity	This is the first time I have done such things and it was very interesting experience. I went to the lesson not knowing anything but slowly, under Dr Noels guidance I managed to understand how to do Hypothesis activity. This skill would come in handy during my capstone as many experiments would need to be done.